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ACM CHI 2013 - GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface...
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Transcript of ACM CHI 2013 - GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface...
Rong-Hao Liang, Kai-Yin Cheng, Liwei Chan, Chuan-Xhyuan Peng, Mike Y. Chen, Rung-Huei Liang, De-Nian Yang, and Bing-Yu Chen
National Taiwan University, Academia Sinica, and National Taiwan University of Science and Technology
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Portable Displays
Disney AppMATesTM
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Capacitance tag
Touch Pads
Conductive Case
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
CapWidgets [Kratz et al. CHI EA’11]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
CapWidgets [Kratz et al. CHI EA’11] TUIC [Yu et al. CHI’11]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
CapWidgets [Kratz et al. CHI EA’11] TUIC [Yu et al. CHI’11]
Clip-on Gadgets [Yu et al. UIST’11]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
CapWidgets [Kratz et al. CHI EA’11] TUIC [Yu et al. CHI’11]
Clip-on Gadgets [Yu et al. UIST’11] CapStones and ZebraWidgets [Chan et al. CHI’12]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interaction design isto 2D
Limitation:
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
3D Tangible InteractionsToward
External Cameras
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
g
Determining Modes A challenge in emulating the ‘anti-gravity space’ is to de-termine if ZeroN is being moved by a user, or is naturally wobbling. Currently, ZeroN sways laterally when actuated, and the system can misinterpret this movement for user input and continue to update a new stable point of suspen-sion. This causes ZeroN to drift around. To resolve this issue, we classify three modes of operation (idle, grabbed, grabbed for long) based on whether, and for how long, the user is holding the object. In the idle mode, when ZeroN is not grabbed by the user, the control system acts to keep the position or trajectory of the levitating object as pro-grammed by the computer. When grabbed by the user, the system updates the stable position based on the current po-sition specified by the users, such that the users can release their hands without dropping the object. If the user is grab-bing the object for longer than 2.5s, it starts specific func-tions such as record and play back.
While stereo IR cameras were useful in obtaining the accu-rate position and orientation of the object using retro-reflective tape, it was challenging to distinguish users’ hands from background or objects. We chose to use an ad-ditional depth camera Microsoft Kinect to detect the user’s hand pose with computer vision techniques built on top of
open-source libraries2. Our software extracts binary con-tours of objects at a predefined depth range and finds the blob created between the user’s hands and the levitated object.
Calibration of 3D Sensing, Projection, and Actuation To ensure real time interaction, careful calibration between cameras, projectors and 3D actuation system is essential in our implementation. After finding correspondence between two cameras with checkerboard patterns, we register cam-eras with the coordinate of interactive space. We position the ZeroN object at each of these fixed four non-coplanar points. Similarly, to register each projector to real-world coordinates, we match the ZeroN positioned at the four non-coplanar calibration points and move a projected im-age of a circle towards the ZeroN. When the circular image is overlaid on the ZeroN, we increase or decrease the size of the circle image so that it matches the size of ZeroN. This data is used to find two homogenous matrices that transform raw camera coordinates to real world coordinates of the interactive space, and the real coordinates to x, y position and the diameter of the circle. We have not made much effort to optimally determine the focal plane of the projected image - focusing the projectors roughly in the middle of the interactive space is sufficient.
2 https://github.com/ofTheo/ofxKinect
Figure 7. ZeroN Object comprises a permanent magnet loosely covered with a plastic shell. Users can tilt the shell without changing the orientation of the levitated magnet.
Figure 8. Tracking and Projection System of ZeroN.
Figure 10. As the user tilts the outer plastic layer, the system senses the orientation and updates the projected images, while the spherical magnet stays in the same orientation.
Figure 9. Kinect camera can be used to sense if the user is holding the levitated object or not.
Paper Session: Tangible UIST’11, October 16–19, 2011, Santa Barbara, CA, USA
331
ZeroN [Lee et al. UIST’11]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
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Paper Session: Tangible UIST’11, October 16–19, 2011, Santa Barbara, CA, USA
349
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Determining Modes A challenge in emulating the ‘anti-gravity space’ is to de-termine if ZeroN is being moved by a user, or is naturally wobbling. Currently, ZeroN sways laterally when actuated, and the system can misinterpret this movement for user input and continue to update a new stable point of suspen-sion. This causes ZeroN to drift around. To resolve this issue, we classify three modes of operation (idle, grabbed, grabbed for long) based on whether, and for how long, the user is holding the object. In the idle mode, when ZeroN is not grabbed by the user, the control system acts to keep the position or trajectory of the levitating object as pro-grammed by the computer. When grabbed by the user, the system updates the stable position based on the current po-sition specified by the users, such that the users can release their hands without dropping the object. If the user is grab-bing the object for longer than 2.5s, it starts specific func-tions such as record and play back.
While stereo IR cameras were useful in obtaining the accu-rate position and orientation of the object using retro-reflective tape, it was challenging to distinguish users’ hands from background or objects. We chose to use an ad-ditional depth camera Microsoft Kinect to detect the user’s hand pose with computer vision techniques built on top of
open-source libraries2. Our software extracts binary con-tours of objects at a predefined depth range and finds the blob created between the user’s hands and the levitated object.
Calibration of 3D Sensing, Projection, and Actuation To ensure real time interaction, careful calibration between cameras, projectors and 3D actuation system is essential in our implementation. After finding correspondence between two cameras with checkerboard patterns, we register cam-eras with the coordinate of interactive space. We position the ZeroN object at each of these fixed four non-coplanar points. Similarly, to register each projector to real-world coordinates, we match the ZeroN positioned at the four non-coplanar calibration points and move a projected im-age of a circle towards the ZeroN. When the circular image is overlaid on the ZeroN, we increase or decrease the size of the circle image so that it matches the size of ZeroN. This data is used to find two homogenous matrices that transform raw camera coordinates to real world coordinates of the interactive space, and the real coordinates to x, y position and the diameter of the circle. We have not made much effort to optimally determine the focal plane of the projected image - focusing the projectors roughly in the middle of the interactive space is sufficient.
2 https://github.com/ofTheo/ofxKinect
Figure 7. ZeroN Object comprises a permanent magnet loosely covered with a plastic shell. Users can tilt the shell without changing the orientation of the levitated magnet.
Figure 8. Tracking and Projection System of ZeroN.
Figure 10. As the user tilts the outer plastic layer, the system senses the orientation and updates the projected images, while the spherical magnet stays in the same orientation.
Figure 9. Kinect camera can be used to sense if the user is holding the levitated object or not.
Paper Session: Tangible UIST’11, October 16–19, 2011, Santa Barbara, CA, USA
331
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Paper Session: Tangible UIST’11, October 16–19, 2011, Santa Barbara, CA, USA
347
ZeroN [Lee et al. UIST’11] Portico [Avrahami et al. UIST’11]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Problems: Sensitive to OcclusionsHand Occlusion +Material Occlusion
X
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Hand Occlusion +Material Occlusion
Problems: Sensitive to Occlusions
X
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Poor ExpressionResult in
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Poor Expression+
Uncomfortable Interaction
Result in
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Poor Expression Rich Expression+
Uncomfortable Interaction
+ Comfortable Interaction
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
The tracking method should be occlusion-free
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
GaussBits: Magnetic Tangible Bits forPortable and Occlusion-Free Near-Surface Interactions
Reasons for exploiting magnetism
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
The prototype Hall-Sensor Grid is only 2mm-thick
1. Magnetic field tracking is portable and accurate.GaussSense [Liang et. al. UIST’12]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
The prototype Hall-Sensor Grid is only 2mm-thick
1. Magnetic field tracking is portable and accurate.GaussSense [Liang et. al. UIST’12]
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Non-Touch Portable Displays can apply the sensing
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Non-Touch Portable Displays can apply the sensing
2. Strong magnetic fields can be tracked above the display.GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
2. Strong magnetic fields can be tracked above the display.GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
More DOF to interact with the display contents
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
3. Magnetic fields penetrate through non-ferrous materials. e.g. hands
The magnetics allow for free grasping GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Allow for crafting magnetics in favorable formGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interact with the magnetics by non-ferrous instrumentsGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interact with the magnetics by non-ferrous instrumentsGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interact with the magnetics by non-ferrous instrumentsGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interact with the magnetics by non-ferrous instrumentsGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Interact with the magnetics by non-ferrous instrumentsGaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
What we have done
2 types of GaussBits Design(Tiltable, Rollable)
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Tiltable GaussBitsThe magnetic field is Cylindrical Symmetric
interactive surface by inserting in-cell IR camera arrays atthe rear of the LCD. Portico [1] tracks objects on the screenand the surrounding surface using two cameras that are po-sitioned above the display. Though those vision-based ap-proaches provide portable solutions and allow the interactionof tangible objects in the near-surface space above the dis-play, they still suffer from the occlusion problem because ofthe limitations of the vision-based technology.
Occlusion-Free TrackingDirect or low-frequency magnetic fields can pass through thebody, making them suitable for use in occlusion-free track-ing. Polhemus presented a high-resolution 6-DOF (Degree-Of-Freedom) tracking method using an electromagnetic field,but its sensing mechanism depends on an external emitter thatmakes it difficult to integrate into mobile devices. Passive res-onant tags [19] can cause the resonance of the sensing elec-tromagnetic coil array to provide ID, single axis position, andorientation information. A ferromagnetic input device [12]deploys an array of coils which allows to sense free-form fer-romagnetic objects. However, both of these solutions are typ-ically unsuited to portable use.
With respect to portability, magnetometers are used in manymobile devices and can track the 3D position of a passivemagnet within a radial detection range [9], but the orienta-tion of the magnetic field cannot be resolved. Although anelectromagnetic resonance (EMR)4 sensor can be integratedinto a mobile touchscreen to detect the hover and tilt of apassive stylus, it can not resolve roll. SmartTable [21] uti-lizes a grid of Hall-effect switches to sense the informationabout the location and orientation of a 2D magnetic patternon the surface, but it can sense only in 2D. GaussSense [18]use an analog Hall-sensor grid to detect hover and the tilt ofa magnetic stylus on touchscreens. However, it’s uni-polarmagnetic fields tracking technique cannot recognize the rollof the stylus, or the tilt of a stylus while it is hovering, be-cause the detection is associated with touchscreen input. Themethod also cannot track multiple magnetic styli at the sametime. Hence, the feasibility of its extension to tangible inter-actions in 3D is unclear.
DESIGNING GAUSSBITSA GaussBit is a basic design element for use with a mag-netic field tracking technique. Based on the properties of amagnetic dipole field, which is symmetrically and uniformlydistributed, the GaussBits can provide their 3D position in-formation, and partial 3D orientation information through.
The basic operations that can be performed with the Gauss-Bits are 3D translation, tilt, roll, and flip. The 3D transla-tion of a GaussBit can be easily resolved by analyzing thedistribution and the maximum strength of the sensed mag-netic field, as has been discussed previously [18]. The presentwork focuses on designing GaussBits to enable the resolutionof their roll and tilt. Neodymium magnets are used in pro-totype GaussBits. A bi-polar magnetic-field tracking sensorgrid as shown in Fig. 1(a), is used here to visualize the N-and S-polar magnetic field intensity maps of the GaussBits in4http://www.wacom.com/
red and blue, respectively. The IMPLEMENTATION sectionwill provide details of the hardware and sensing mechanism.
Types of GaussBitsGaussBits designs are of two types: Tiltable GaussBits andRollable GaussBits.
Tiltable GaussBits
N
S30°
30°c
d
a
b
eFigure 2. (a) Principle of Tiltable GaussBits, which can be made by using(b) cylindrical or a (c) ring magnets. Based on the magnetic field imagesshown in (d) and (e), tilt information can be extracted from the intensitymap of the dipole fields.
To resolve the tilt of a GaussBit’s tilt information to be eas-ily resolved in any direction without ambiguity, a cylindrical-symmetric 3D magnetic field between its two ends is re-quired, as shown in Fig. 2(a). Therefore, the use of an axiallymagnetized cylindrical magnet, as shown in Fig. 2(b) is sug-gested. If see-through capability is required, as in a magni-fying glass application, an axially magnetized ring magnet asshown in Fig. 2(c) can be also used. Figure 2(d)(e) show themagnetic field intensity map of the sample magnets. Whenthe magnet is tilted, one side of it is higher than the otherside, so the difference between the magnetic field intensitiesof the two sides provided tilt information. The flip operationcan also be recognized from the change in polarization.
The tilt of a Tiltable GaussBit is estimated from the sensedshape of magnetic field. Accordingly, using magnets withlarger radii provides more information and therefore a moreprecise estimate of tracking. With respect to limitations, how-ever, the roll angle cannot be determined, because the cylin-drically symmetric magnetic field is invariant under rotation.
Rollable GaussBits
NS
c da
b
eFigure 3. (a) Principle of Rollable GaussBits, which can be made from(b) a single magnet or (c) a couple of magnets. As show in (d) the image ofthe magnetic field, roll information can be determined from the relativeposition of the dipole. (e) Example of a flippable Rollable GaussBit.
The simplest way to resolve the roll angle of a GaussBit accu-rately is to lay down a Tiltable GaussBit to let the direction ofthe magnetization parallel to the surface as shown in Fig. 3(b),or to attach another opposite-polar magnet by the TiltableGaussBit as shown in Fig. 3(c). The magnetic field intensitymap then becomes as shown in Fig. 3(a), and the N-part and
interactive surface by inserting in-cell IR camera arrays atthe rear of the LCD. Portico [1] tracks objects on the screenand the surrounding surface using two cameras that are po-sitioned above the display. Though those vision-based ap-proaches provide portable solutions and allow the interactionof tangible objects in the near-surface space above the dis-play, they still suffer from the occlusion problem because ofthe limitations of the vision-based technology.
Occlusion-Free TrackingDirect or low-frequency magnetic fields can pass through thebody, making them suitable for use in occlusion-free track-ing. Polhemus presented a high-resolution 6-DOF (Degree-Of-Freedom) tracking method using an electromagnetic field,but its sensing mechanism depends on an external emitter thatmakes it difficult to integrate into mobile devices. Passive res-onant tags [19] can cause the resonance of the sensing elec-tromagnetic coil array to provide ID, single axis position, andorientation information. A ferromagnetic input device [12]deploys an array of coils which allows to sense free-form fer-romagnetic objects. However, both of these solutions are typ-ically unsuited to portable use.
With respect to portability, magnetometers are used in manymobile devices and can track the 3D position of a passivemagnet within a radial detection range [9], but the orienta-tion of the magnetic field cannot be resolved. Although anelectromagnetic resonance (EMR)4 sensor can be integratedinto a mobile touchscreen to detect the hover and tilt of apassive stylus, it can not resolve roll. SmartTable [21] uti-lizes a grid of Hall-effect switches to sense the informationabout the location and orientation of a 2D magnetic patternon the surface, but it can sense only in 2D. GaussSense [18]use an analog Hall-sensor grid to detect hover and the tilt ofa magnetic stylus on touchscreens. However, it’s uni-polarmagnetic fields tracking technique cannot recognize the rollof the stylus, or the tilt of a stylus while it is hovering, be-cause the detection is associated with touchscreen input. Themethod also cannot track multiple magnetic styli at the sametime. Hence, the feasibility of its extension to tangible inter-actions in 3D is unclear.
DESIGNING GAUSSBITSA GaussBit is a basic design element for use with a mag-netic field tracking technique. Based on the properties of amagnetic dipole field, which is symmetrically and uniformlydistributed, the GaussBits can provide their 3D position in-formation, and partial 3D orientation information through.
The basic operations that can be performed with the Gauss-Bits are 3D translation, tilt, roll, and flip. The 3D transla-tion of a GaussBit can be easily resolved by analyzing thedistribution and the maximum strength of the sensed mag-netic field, as has been discussed previously [18]. The presentwork focuses on designing GaussBits to enable the resolutionof their roll and tilt. Neodymium magnets are used in pro-totype GaussBits. A bi-polar magnetic-field tracking sensorgrid as shown in Fig. 1(a), is used here to visualize the N-and S-polar magnetic field intensity maps of the GaussBits in4http://www.wacom.com/
red and blue, respectively. The IMPLEMENTATION sectionwill provide details of the hardware and sensing mechanism.
Types of GaussBitsGaussBits designs are of two types: Tiltable GaussBits andRollable GaussBits.
Tiltable GaussBits
N
S30°
30°c
d
a
b
eFigure 2. (a) Principle of Tiltable GaussBits, which can be made by using(b) cylindrical or a (c) ring magnets. Based on the magnetic field imagesshown in (d) and (e), tilt information can be extracted from the intensitymap of the dipole fields.
To resolve the tilt of a GaussBit’s tilt information to be eas-ily resolved in any direction without ambiguity, a cylindrical-symmetric 3D magnetic field between its two ends is re-quired, as shown in Fig. 2(a). Therefore, the use of an axiallymagnetized cylindrical magnet, as shown in Fig. 2(b) is sug-gested. If see-through capability is required, as in a magni-fying glass application, an axially magnetized ring magnet asshown in Fig. 2(c) can be also used. Figure 2(d)(e) show themagnetic field intensity map of the sample magnets. Whenthe magnet is tilted, one side of it is higher than the otherside, so the difference between the magnetic field intensitiesof the two sides provided tilt information. The flip operationcan also be recognized from the change in polarization.
The tilt of a Tiltable GaussBit is estimated from the sensedshape of magnetic field. Accordingly, using magnets withlarger radii provides more information and therefore a moreprecise estimate of tracking. With respect to limitations, how-ever, the roll angle cannot be determined, because the cylin-drically symmetric magnetic field is invariant under rotation.
Rollable GaussBits
NS
c da
b
eFigure 3. (a) Principle of Rollable GaussBits, which can be made from(b) a single magnet or (c) a couple of magnets. As show in (d) the image ofthe magnetic field, roll information can be determined from the relativeposition of the dipole. (e) Example of a flippable Rollable GaussBit.
The simplest way to resolve the roll angle of a GaussBit accu-rately is to lay down a Tiltable GaussBit to let the direction ofthe magnetization parallel to the surface as shown in Fig. 3(b),or to attach another opposite-polar magnet by the TiltableGaussBit as shown in Fig. 3(c). The magnetic field intensitymap then becomes as shown in Fig. 3(a), and the N-part and
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Support Tilt, Hover, and FlipDesign > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Support Tilt, Hover, and FlipDesign > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Support Tilt, Hover, and FlipDesign > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Rollable GaussBitsThe bi-polar magnetic field is Not Cylindrical Symmetric
interactive surface by inserting in-cell IR camera arrays atthe rear of the LCD. Portico [1] tracks objects on the screenand the surrounding surface using two cameras that are po-sitioned above the display. Though those vision-based ap-proaches provide portable solutions and allow the interactionof tangible objects in the near-surface space above the dis-play, they still suffer from the occlusion problem because ofthe limitations of the vision-based technology.
Occlusion-Free TrackingDirect or low-frequency magnetic fields can pass through thebody, making them suitable for use in occlusion-free track-ing. Polhemus presented a high-resolution 6-DOF (Degree-Of-Freedom) tracking method using an electromagnetic field,but its sensing mechanism depends on an external emitter thatmakes it difficult to integrate into mobile devices. Passive res-onant tags [19] can cause the resonance of the sensing elec-tromagnetic coil array to provide ID, single axis position, andorientation information. A ferromagnetic input device [12]deploys an array of coils which allows to sense free-form fer-romagnetic objects. However, both of these solutions are typ-ically unsuited to portable use.
With respect to portability, magnetometers are used in manymobile devices and can track the 3D position of a passivemagnet within a radial detection range [9], but the orienta-tion of the magnetic field cannot be resolved. Although anelectromagnetic resonance (EMR)4 sensor can be integratedinto a mobile touchscreen to detect the hover and tilt of apassive stylus, it can not resolve roll. SmartTable [21] uti-lizes a grid of Hall-effect switches to sense the informationabout the location and orientation of a 2D magnetic patternon the surface, but it can sense only in 2D. GaussSense [18]use an analog Hall-sensor grid to detect hover and the tilt ofa magnetic stylus on touchscreens. However, it’s uni-polarmagnetic fields tracking technique cannot recognize the rollof the stylus, or the tilt of a stylus while it is hovering, be-cause the detection is associated with touchscreen input. Themethod also cannot track multiple magnetic styli at the sametime. Hence, the feasibility of its extension to tangible inter-actions in 3D is unclear.
DESIGNING GAUSSBITSA GaussBit is a basic design element for use with a mag-netic field tracking technique. Based on the properties of amagnetic dipole field, which is symmetrically and uniformlydistributed, the GaussBits can provide their 3D position in-formation, and partial 3D orientation information through.
The basic operations that can be performed with the Gauss-Bits are 3D translation, tilt, roll, and flip. The 3D transla-tion of a GaussBit can be easily resolved by analyzing thedistribution and the maximum strength of the sensed mag-netic field, as has been discussed previously [18]. The presentwork focuses on designing GaussBits to enable the resolutionof their roll and tilt. Neodymium magnets are used in pro-totype GaussBits. A bi-polar magnetic-field tracking sensorgrid as shown in Fig. 1(a), is used here to visualize the N-and S-polar magnetic field intensity maps of the GaussBits in4http://www.wacom.com/
red and blue, respectively. The IMPLEMENTATION sectionwill provide details of the hardware and sensing mechanism.
Types of GaussBitsGaussBits designs are of two types: Tiltable GaussBits andRollable GaussBits.
Tiltable GaussBits
N
S30°
30°c
d
a
b
eFigure 2. (a) Principle of Tiltable GaussBits, which can be made by using(b) cylindrical or a (c) ring magnets. Based on the magnetic field imagesshown in (d) and (e), tilt information can be extracted from the intensitymap of the dipole fields.
To resolve the tilt of a GaussBit’s tilt information to be eas-ily resolved in any direction without ambiguity, a cylindrical-symmetric 3D magnetic field between its two ends is re-quired, as shown in Fig. 2(a). Therefore, the use of an axiallymagnetized cylindrical magnet, as shown in Fig. 2(b) is sug-gested. If see-through capability is required, as in a magni-fying glass application, an axially magnetized ring magnet asshown in Fig. 2(c) can be also used. Figure 2(d)(e) show themagnetic field intensity map of the sample magnets. Whenthe magnet is tilted, one side of it is higher than the otherside, so the difference between the magnetic field intensitiesof the two sides provided tilt information. The flip operationcan also be recognized from the change in polarization.
The tilt of a Tiltable GaussBit is estimated from the sensedshape of magnetic field. Accordingly, using magnets withlarger radii provides more information and therefore a moreprecise estimate of tracking. With respect to limitations, how-ever, the roll angle cannot be determined, because the cylin-drically symmetric magnetic field is invariant under rotation.
Rollable GaussBits
NS
c da
b
eFigure 3. (a) Principle of Rollable GaussBits, which can be made from(b) a single magnet or (c) a couple of magnets. As show in (d) the image ofthe magnetic field, roll information can be determined from the relativeposition of the dipole. (e) Example of a flippable Rollable GaussBit.
The simplest way to resolve the roll angle of a GaussBit accu-rately is to lay down a Tiltable GaussBit to let the direction ofthe magnetization parallel to the surface as shown in Fig. 3(b),or to attach another opposite-polar magnet by the TiltableGaussBit as shown in Fig. 3(c). The magnetic field intensitymap then becomes as shown in Fig. 3(a), and the N-part andDesign > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Rollable GaussBits can support FlippingDesign > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Rollable GaussBitsThe bi-polar magnetic fields are
Not Cylindrical Symmetric
Tiltable GaussBitsThe magnetic fields are
Cylindrical Symmetric
We can NOT build a GaussBit which istiltable and rollable to support 6DOF operations
interactive surface by inserting in-cell IR camera arrays atthe rear of the LCD. Portico [1] tracks objects on the screenand the surrounding surface using two cameras that are po-sitioned above the display. Though those vision-based ap-proaches provide portable solutions and allow the interactionof tangible objects in the near-surface space above the dis-play, they still suffer from the occlusion problem because ofthe limitations of the vision-based technology.
Occlusion-Free TrackingDirect or low-frequency magnetic fields can pass through thebody, making them suitable for use in occlusion-free track-ing. Polhemus presented a high-resolution 6-DOF (Degree-Of-Freedom) tracking method using an electromagnetic field,but its sensing mechanism depends on an external emitter thatmakes it difficult to integrate into mobile devices. Passive res-onant tags [19] can cause the resonance of the sensing elec-tromagnetic coil array to provide ID, single axis position, andorientation information. A ferromagnetic input device [12]deploys an array of coils which allows to sense free-form fer-romagnetic objects. However, both of these solutions are typ-ically unsuited to portable use.
With respect to portability, magnetometers are used in manymobile devices and can track the 3D position of a passivemagnet within a radial detection range [9], but the orienta-tion of the magnetic field cannot be resolved. Although anelectromagnetic resonance (EMR)4 sensor can be integratedinto a mobile touchscreen to detect the hover and tilt of apassive stylus, it can not resolve roll. SmartTable [21] uti-lizes a grid of Hall-effect switches to sense the informationabout the location and orientation of a 2D magnetic patternon the surface, but it can sense only in 2D. GaussSense [18]use an analog Hall-sensor grid to detect hover and the tilt ofa magnetic stylus on touchscreens. However, it’s uni-polarmagnetic fields tracking technique cannot recognize the rollof the stylus, or the tilt of a stylus while it is hovering, be-cause the detection is associated with touchscreen input. Themethod also cannot track multiple magnetic styli at the sametime. Hence, the feasibility of its extension to tangible inter-actions in 3D is unclear.
DESIGNING GAUSSBITSA GaussBit is a basic design element for use with a mag-netic field tracking technique. Based on the properties of amagnetic dipole field, which is symmetrically and uniformlydistributed, the GaussBits can provide their 3D position in-formation, and partial 3D orientation information through.
The basic operations that can be performed with the Gauss-Bits are 3D translation, tilt, roll, and flip. The 3D transla-tion of a GaussBit can be easily resolved by analyzing thedistribution and the maximum strength of the sensed mag-netic field, as has been discussed previously [18]. The presentwork focuses on designing GaussBits to enable the resolutionof their roll and tilt. Neodymium magnets are used in pro-totype GaussBits. A bi-polar magnetic-field tracking sensorgrid as shown in Fig. 1(a), is used here to visualize the N-and S-polar magnetic field intensity maps of the GaussBits in4http://www.wacom.com/
red and blue, respectively. The IMPLEMENTATION sectionwill provide details of the hardware and sensing mechanism.
Types of GaussBitsGaussBits designs are of two types: Tiltable GaussBits andRollable GaussBits.
Tiltable GaussBits
N
S30°
30°c
d
a
b
eFigure 2. (a) Principle of Tiltable GaussBits, which can be made by using(b) cylindrical or a (c) ring magnets. Based on the magnetic field imagesshown in (d) and (e), tilt information can be extracted from the intensitymap of the dipole fields.
To resolve the tilt of a GaussBit’s tilt information to be eas-ily resolved in any direction without ambiguity, a cylindrical-symmetric 3D magnetic field between its two ends is re-quired, as shown in Fig. 2(a). Therefore, the use of an axiallymagnetized cylindrical magnet, as shown in Fig. 2(b) is sug-gested. If see-through capability is required, as in a magni-fying glass application, an axially magnetized ring magnet asshown in Fig. 2(c) can be also used. Figure 2(d)(e) show themagnetic field intensity map of the sample magnets. Whenthe magnet is tilted, one side of it is higher than the otherside, so the difference between the magnetic field intensitiesof the two sides provided tilt information. The flip operationcan also be recognized from the change in polarization.
The tilt of a Tiltable GaussBit is estimated from the sensedshape of magnetic field. Accordingly, using magnets withlarger radii provides more information and therefore a moreprecise estimate of tracking. With respect to limitations, how-ever, the roll angle cannot be determined, because the cylin-drically symmetric magnetic field is invariant under rotation.
Rollable GaussBits
NS
c da
b
eFigure 3. (a) Principle of Rollable GaussBits, which can be made from(b) a single magnet or (c) a couple of magnets. As show in (d) the image ofthe magnetic field, roll information can be determined from the relativeposition of the dipole. (e) Example of a flippable Rollable GaussBit.
The simplest way to resolve the roll angle of a GaussBit accu-rately is to lay down a Tiltable GaussBit to let the direction ofthe magnetization parallel to the surface as shown in Fig. 3(b),or to attach another opposite-polar magnet by the TiltableGaussBit as shown in Fig. 3(c). The magnetic field intensitymap then becomes as shown in Fig. 3(a), and the N-part and
interactive surface by inserting in-cell IR camera arrays atthe rear of the LCD. Portico [1] tracks objects on the screenand the surrounding surface using two cameras that are po-sitioned above the display. Though those vision-based ap-proaches provide portable solutions and allow the interactionof tangible objects in the near-surface space above the dis-play, they still suffer from the occlusion problem because ofthe limitations of the vision-based technology.
Occlusion-Free TrackingDirect or low-frequency magnetic fields can pass through thebody, making them suitable for use in occlusion-free track-ing. Polhemus presented a high-resolution 6-DOF (Degree-Of-Freedom) tracking method using an electromagnetic field,but its sensing mechanism depends on an external emitter thatmakes it difficult to integrate into mobile devices. Passive res-onant tags [19] can cause the resonance of the sensing elec-tromagnetic coil array to provide ID, single axis position, andorientation information. A ferromagnetic input device [12]deploys an array of coils which allows to sense free-form fer-romagnetic objects. However, both of these solutions are typ-ically unsuited to portable use.
With respect to portability, magnetometers are used in manymobile devices and can track the 3D position of a passivemagnet within a radial detection range [9], but the orienta-tion of the magnetic field cannot be resolved. Although anelectromagnetic resonance (EMR)4 sensor can be integratedinto a mobile touchscreen to detect the hover and tilt of apassive stylus, it can not resolve roll. SmartTable [21] uti-lizes a grid of Hall-effect switches to sense the informationabout the location and orientation of a 2D magnetic patternon the surface, but it can sense only in 2D. GaussSense [18]use an analog Hall-sensor grid to detect hover and the tilt ofa magnetic stylus on touchscreens. However, it’s uni-polarmagnetic fields tracking technique cannot recognize the rollof the stylus, or the tilt of a stylus while it is hovering, be-cause the detection is associated with touchscreen input. Themethod also cannot track multiple magnetic styli at the sametime. Hence, the feasibility of its extension to tangible inter-actions in 3D is unclear.
DESIGNING GAUSSBITSA GaussBit is a basic design element for use with a mag-netic field tracking technique. Based on the properties of amagnetic dipole field, which is symmetrically and uniformlydistributed, the GaussBits can provide their 3D position in-formation, and partial 3D orientation information through.
The basic operations that can be performed with the Gauss-Bits are 3D translation, tilt, roll, and flip. The 3D transla-tion of a GaussBit can be easily resolved by analyzing thedistribution and the maximum strength of the sensed mag-netic field, as has been discussed previously [18]. The presentwork focuses on designing GaussBits to enable the resolutionof their roll and tilt. Neodymium magnets are used in pro-totype GaussBits. A bi-polar magnetic-field tracking sensorgrid as shown in Fig. 1(a), is used here to visualize the N-and S-polar magnetic field intensity maps of the GaussBits in4http://www.wacom.com/
red and blue, respectively. The IMPLEMENTATION sectionwill provide details of the hardware and sensing mechanism.
Types of GaussBitsGaussBits designs are of two types: Tiltable GaussBits andRollable GaussBits.
Tiltable GaussBits
N
S30°
30°c
d
a
b
eFigure 2. (a) Principle of Tiltable GaussBits, which can be made by using(b) cylindrical or a (c) ring magnets. Based on the magnetic field imagesshown in (d) and (e), tilt information can be extracted from the intensitymap of the dipole fields.
To resolve the tilt of a GaussBit’s tilt information to be eas-ily resolved in any direction without ambiguity, a cylindrical-symmetric 3D magnetic field between its two ends is re-quired, as shown in Fig. 2(a). Therefore, the use of an axiallymagnetized cylindrical magnet, as shown in Fig. 2(b) is sug-gested. If see-through capability is required, as in a magni-fying glass application, an axially magnetized ring magnet asshown in Fig. 2(c) can be also used. Figure 2(d)(e) show themagnetic field intensity map of the sample magnets. Whenthe magnet is tilted, one side of it is higher than the otherside, so the difference between the magnetic field intensitiesof the two sides provided tilt information. The flip operationcan also be recognized from the change in polarization.
The tilt of a Tiltable GaussBit is estimated from the sensedshape of magnetic field. Accordingly, using magnets withlarger radii provides more information and therefore a moreprecise estimate of tracking. With respect to limitations, how-ever, the roll angle cannot be determined, because the cylin-drically symmetric magnetic field is invariant under rotation.
Rollable GaussBits
NS
c da
b
eFigure 3. (a) Principle of Rollable GaussBits, which can be made from(b) a single magnet or (c) a couple of magnets. As show in (d) the image ofthe magnetic field, roll information can be determined from the relativeposition of the dipole. (e) Example of a flippable Rollable GaussBit.
The simplest way to resolve the roll angle of a GaussBit accu-rately is to lay down a Tiltable GaussBit to let the direction ofthe magnetization parallel to the surface as shown in Fig. 3(b),or to attach another opposite-polar magnet by the TiltableGaussBit as shown in Fig. 3(c). The magnetic field intensitymap then becomes as shown in Fig. 3(a), and the N-part and
Limitation
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Ci’
Ci
: by higher, dynamic threshold
: by lower threshold
Extract the connected components
I’Oi’N
OiN
Oi’N
Oi’S
ResultsSensing algorithm
Tiltable
Rollable
Raw Image
I IN
IS
Thresholding
: centroid of Ci’Oi’
: centroid of Ci’Oi
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Types of GaussBits can be recognized by the shape of magnetic fields
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Sensing algorithm
Roll direction
2D position (x,y)
Tilt direction
Hover height (z)Max. Intensity
Tilt angle
Without Pre-Registering the Magnets With Registration
Rollable GaussBit Tiltable GaussBit Tiltable GaussBit
2D position + Direction of Roll or Tilt
3D position + Direction and Angle of Tilt
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
I
Ci’
CiIN IS
I’Oi’N Oi’S
OiN
Oi’N
Rollable
Tiltable
a
b
c d
e
a
b
Figure 9. Signal processing procedures. (a) When magnets are placedon the sensor grid, the magnetic field image I can be obtained as shownin (b). Separate analyses of the (c) N-Field IN and (d) S-Field IS enablesthe connected components Ci and their feature C0
i to be extracted fromboth field images. (e) Combining the two images enables the sensingalgorithm to resolve the position and orientation of Rollable GaussBits
and Tiltable GaussBits.
Sensing AlgorithmThe sensing algorithm is developed to track the location andorientation of GaussBits in the near-surface space by analyz-ing the obtained bi-polar magnetic field image I (Fig. 9(b)).
PreprocessingThe raw sensing image I consists of N- and S-polar parts,which are IN (Fig. 9(c)) and IS (Fig. 9(d)), respectively. Ifthe sensed intensity value is below a given noise thresholdTnoise, then it will be treated noise data and will be removed.To analyze the position of GaussBit, all connected compo-nents Ci are extracted from both IN and IS. If the extractedCi is too small or falls inside a larger one, then it is removed.The remaining Ci are fitted using a rotational bounding box.The centroid Oi of the bounding box, and maximum intensityvalue Imax of each Ci are then calculated. The Oi and the Imaxcan be used to resolve the 3D position GaussBit.
To obtain orientation information, the filtered Ci must be fur-ther processed. When Imax exceeds Tnoise + k, where k is aconstant, the feature C0
i of every Ci is extracted by imposing ahigher theshold Thigh = Imax�k. The rotational bounding boxis again calculated for C0
i to obtain the centroid of the box O0i.
Analyzing each O0i with the corresponding Oi and Imax in both
IN and IS yields the orientation information.
Identifying and Sensing Types of GaussBitThe detected Ci and C0
i can be used to determine whether theGaussBit is a Tiltable GaussBit or a Rollable GaussBit. If aC0
i is detected within Ci, of which the polarity is the same asC0
i , then this C0i-Ci pair is regarded as a Tiltable GaussBit. On
the contrary, if an N-pole C0i is within a predefined threshold
distance of an S-pole C0i , then this C0N
i -C0Si pair is identified as
a Rollable GaussBit rather than two Tiltable GaussBits.
For a Tiltable GaussBit, the projected position onto the 2Dplane is Oi, and Imax determines the hover height. The direc-tion is given by the vector ~v = ~Oi�O0
i, and the angle of tiltcan be determined from ||v||.
h
θ
0° 30°15° 45°
0° 30° 60° 90°
0° 30°15° 45°
3x15x12
3x15
10x4
T
H R
H
R
H T HT
HT
10x4 3x15 3x15x12 6x12.5+10x4
HoverRollTilt
Magnetic-field image
GaussBit
Robot arm
Hall-sensor grida
b c
d
eHxORxIR: Height x Outer-Radius x Inner-Radius (Unit:mm)
3x19x15GaussClock GaussNavigator GaussPilot GaussCooker
Figure 10. (a) Experimental apparatus. (b) Sensing distance of the sam-ple GaussBits. Within this distance, the position of hovering and thedirections of roll or tilt can be resolved. (c) Definition of sensing dis-tance h and tilt angle q . (d) Resulting magnetic field images of a Rollable
GaussBit sample and (e) two sample Tiltable GaussBits at a hover heightof 10mm at four roll and tilt angles.
For a Rollable GaussBit, the projected position onto the 2Dplane is the midpoint of O0N
i and O0Si , and Max(IN
max, ISmax) de-
termines the hover height. The direction of the roll is givenby ~v = ~O0S
i �O0Ni . If the application involves only one Rol-
lable GaussBit as in the GaussClock application shown, ONi
and OSi can be used instead of O0N
i and O0Si to increase the
sensing distance.
Based on the proposed algorithm, the tilt or roll of the Gauss-Bits can be correctly resolved, as shown in Fig. 9(e).
EvaluationAn earlier study [18] revealed that the sensing performancebecomes worse as the sensing distance is increased. There-fore, an in-lab measurement was made to determine themaximum sensing distance of the proposed algorithm. Thefive GaussBits that are demonstrated in the four applica-tions, GaussClock, GaussNavigator, GaussPilot, and Gauss-Cooker, are evaluated here.
ProceduresA calibrated robot arm, shown in Fig. 10(a), which can per-form lift, tilt, and roll operations, is used to measure stably theperformance of each GaussBit in the air. The measurementsstarted from a height of 5mm, which equals the thickness ofthe laptop LCD that was used in the application. In each trial,the hover height is increased by 1mm, and the tilt (0� ⇠ 45�pitch) or roll (0� ⇠ 360�) function is tested, according to the
Evaluation
17-44mm above the display
I
Ci’
CiIN IS
I’Oi’N Oi’S
OiN
Oi’N
Rollable
Tiltable
a
b
c d
e
a
b
Figure 9. Signal processing procedures. (a) When magnets are placedon the sensor grid, the magnetic field image I can be obtained as shownin (b). Separate analyses of the (c) N-Field IN and (d) S-Field IS enablesthe connected components Ci and their feature C0
i to be extracted fromboth field images. (e) Combining the two images enables the sensingalgorithm to resolve the position and orientation of Rollable GaussBits
and Tiltable GaussBits.
Sensing AlgorithmThe sensing algorithm is developed to track the location andorientation of GaussBits in the near-surface space by analyz-ing the obtained bi-polar magnetic field image I (Fig. 9(b)).
PreprocessingThe raw sensing image I consists of N- and S-polar parts,which are IN (Fig. 9(c)) and IS (Fig. 9(d)), respectively. Ifthe sensed intensity value is below a given noise thresholdTnoise, then it will be treated noise data and will be removed.To analyze the position of GaussBit, all connected compo-nents Ci are extracted from both IN and IS. If the extractedCi is too small or falls inside a larger one, then it is removed.The remaining Ci are fitted using a rotational bounding box.The centroid Oi of the bounding box, and maximum intensityvalue Imax of each Ci are then calculated. The Oi and the Imaxcan be used to resolve the 3D position GaussBit.
To obtain orientation information, the filtered Ci must be fur-ther processed. When Imax exceeds Tnoise + k, where k is aconstant, the feature C0
i of every Ci is extracted by imposing ahigher theshold Thigh = Imax�k. The rotational bounding boxis again calculated for C0
i to obtain the centroid of the box O0i.
Analyzing each O0i with the corresponding Oi and Imax in both
IN and IS yields the orientation information.
Identifying and Sensing Types of GaussBitThe detected Ci and C0
i can be used to determine whether theGaussBit is a Tiltable GaussBit or a Rollable GaussBit. If aC0
i is detected within Ci, of which the polarity is the same asC0
i , then this C0i-Ci pair is regarded as a Tiltable GaussBit. On
the contrary, if an N-pole C0i is within a predefined threshold
distance of an S-pole C0i , then this C0N
i -C0Si pair is identified as
a Rollable GaussBit rather than two Tiltable GaussBits.
For a Tiltable GaussBit, the projected position onto the 2Dplane is Oi, and Imax determines the hover height. The direc-tion is given by the vector ~v = ~Oi�O0
i, and the angle of tiltcan be determined from ||v||.
h
θ
0° 30°15° 45°
0° 30° 60° 90°
0° 30°15° 45°
3x15x12
3x15
10x4
T
H R
H
R
H T HT
HT
10x4 3x15 3x15x12 6x12.5+10x4
HoverRollTilt
Magnetic-field image
GaussBit
Robot arm
Hall-sensor grida
b c
d
eHxORxIR: Height x Outer-Radius x Inner-Radius (Unit:mm)
3x19x15GaussClock GaussNavigator GaussPilot GaussCooker
Figure 10. (a) Experimental apparatus. (b) Sensing distance of the sam-ple GaussBits. Within this distance, the position of hovering and thedirections of roll or tilt can be resolved. (c) Definition of sensing dis-tance h and tilt angle q . (d) Resulting magnetic field images of a Rollable
GaussBit sample and (e) two sample Tiltable GaussBits at a hover heightof 10mm at four roll and tilt angles.
For a Rollable GaussBit, the projected position onto the 2Dplane is the midpoint of O0N
i and O0Si , and Max(IN
max, ISmax) de-
termines the hover height. The direction of the roll is givenby ~v = ~O0S
i �O0Ni . If the application involves only one Rol-
lable GaussBit as in the GaussClock application shown, ONi
and OSi can be used instead of O0N
i and O0Si to increase the
sensing distance.
Based on the proposed algorithm, the tilt or roll of the Gauss-Bits can be correctly resolved, as shown in Fig. 9(e).
EvaluationAn earlier study [18] revealed that the sensing performancebecomes worse as the sensing distance is increased. There-fore, an in-lab measurement was made to determine themaximum sensing distance of the proposed algorithm. Thefive GaussBits that are demonstrated in the four applica-tions, GaussClock, GaussNavigator, GaussPilot, and Gauss-Cooker, are evaluated here.
ProceduresA calibrated robot arm, shown in Fig. 10(a), which can per-form lift, tilt, and roll operations, is used to measure stably theperformance of each GaussBit in the air. The measurementsstarted from a height of 5mm, which equals the thickness ofthe laptop LCD that was used in the application. In each trial,the hover height is increased by 1mm, and the tilt (0� ⇠ 45�pitch) or roll (0� ⇠ 360�) function is tested, according to the
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
I
Ci’
CiIN IS
I’Oi’N Oi’S
OiN
Oi’N
Rollable
Tiltable
a
b
c d
e
a
b
Figure 9. Signal processing procedures. (a) When magnets are placedon the sensor grid, the magnetic field image I can be obtained as shownin (b). Separate analyses of the (c) N-Field IN and (d) S-Field IS enablesthe connected components Ci and their feature C0
i to be extracted fromboth field images. (e) Combining the two images enables the sensingalgorithm to resolve the position and orientation of Rollable GaussBits
and Tiltable GaussBits.
Sensing AlgorithmThe sensing algorithm is developed to track the location andorientation of GaussBits in the near-surface space by analyz-ing the obtained bi-polar magnetic field image I (Fig. 9(b)).
PreprocessingThe raw sensing image I consists of N- and S-polar parts,which are IN (Fig. 9(c)) and IS (Fig. 9(d)), respectively. Ifthe sensed intensity value is below a given noise thresholdTnoise, then it will be treated noise data and will be removed.To analyze the position of GaussBit, all connected compo-nents Ci are extracted from both IN and IS. If the extractedCi is too small or falls inside a larger one, then it is removed.The remaining Ci are fitted using a rotational bounding box.The centroid Oi of the bounding box, and maximum intensityvalue Imax of each Ci are then calculated. The Oi and the Imaxcan be used to resolve the 3D position GaussBit.
To obtain orientation information, the filtered Ci must be fur-ther processed. When Imax exceeds Tnoise + k, where k is aconstant, the feature C0
i of every Ci is extracted by imposing ahigher theshold Thigh = Imax�k. The rotational bounding boxis again calculated for C0
i to obtain the centroid of the box O0i.
Analyzing each O0i with the corresponding Oi and Imax in both
IN and IS yields the orientation information.
Identifying and Sensing Types of GaussBitThe detected Ci and C0
i can be used to determine whether theGaussBit is a Tiltable GaussBit or a Rollable GaussBit. If aC0
i is detected within Ci, of which the polarity is the same asC0
i , then this C0i-Ci pair is regarded as a Tiltable GaussBit. On
the contrary, if an N-pole C0i is within a predefined threshold
distance of an S-pole C0i , then this C0N
i -C0Si pair is identified as
a Rollable GaussBit rather than two Tiltable GaussBits.
For a Tiltable GaussBit, the projected position onto the 2Dplane is Oi, and Imax determines the hover height. The direc-tion is given by the vector ~v = ~Oi�O0
i, and the angle of tiltcan be determined from ||v||.
h
θ
0° 30°15° 45°
0° 30° 60° 90°
0° 30°15° 45°
3x15x12
3x15
10x4
T
H R
H
R
H T HT
HT
10x4 3x15 3x15x12 6x12.5+10x4
HoverRollTilt
Magnetic-field image
GaussBit
Robot arm
Hall-sensor grida
b c
d
eHxORxIR: Height x Outer-Radius x Inner-Radius (Unit:mm)
3x19x15GaussClock GaussNavigator GaussPilot GaussCooker
Figure 10. (a) Experimental apparatus. (b) Sensing distance of the sam-ple GaussBits. Within this distance, the position of hovering and thedirections of roll or tilt can be resolved. (c) Definition of sensing dis-tance h and tilt angle q . (d) Resulting magnetic field images of a Rollable
GaussBit sample and (e) two sample Tiltable GaussBits at a hover heightof 10mm at four roll and tilt angles.
For a Rollable GaussBit, the projected position onto the 2Dplane is the midpoint of O0N
i and O0Si , and Max(IN
max, ISmax) de-
termines the hover height. The direction of the roll is givenby ~v = ~O0S
i �O0Ni . If the application involves only one Rol-
lable GaussBit as in the GaussClock application shown, ONi
and OSi can be used instead of O0N
i and O0Si to increase the
sensing distance.
Based on the proposed algorithm, the tilt or roll of the Gauss-Bits can be correctly resolved, as shown in Fig. 9(e).
EvaluationAn earlier study [18] revealed that the sensing performancebecomes worse as the sensing distance is increased. There-fore, an in-lab measurement was made to determine themaximum sensing distance of the proposed algorithm. Thefive GaussBits that are demonstrated in the four applica-tions, GaussClock, GaussNavigator, GaussPilot, and Gauss-Cooker, are evaluated here.
ProceduresA calibrated robot arm, shown in Fig. 10(a), which can per-form lift, tilt, and roll operations, is used to measure stably theperformance of each GaussBit in the air. The measurementsstarted from a height of 5mm, which equals the thickness ofthe laptop LCD that was used in the application. In each trial,the hover height is increased by 1mm, and the tilt (0� ⇠ 45�pitch) or roll (0� ⇠ 360�) function is tested, according to the
EvaluationTrack the tilt and roll well (10mm height)
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Identifying GaussBits
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
c d
e f
a b
hgFigure 13. Two methods identifying rollable magnets while determiningthe orientation of roll. (a) Carving a gap in the side of a ring magnetyields the magnetic field that is shown in (b). (c) The image of the mag-netic field shows that the gap can be clearly used to provide the orien-tation. (d) The pink area represents the ID design space. (e) Attachingone or many cylindrical magnets to the side of a ring magnet yields themagnetic field image in (f). (g) The orientation can be resolved and (h)the pink area represents the ID design space.
Scalability of shape as ID: Since multiple magnets are at-tached to each others in the identification method, scalabil-ity should be considered because of interference. For theID design that is shown in Fig. 13(e), a 3mm-height⇥4mm-radius cylindrical magnets where attached around the centralring magnet as a payload, which had a minimal interference-free distance of 9mm. Hence, the 3mm-height⇥19mm-outer-radius magnet had a 7-bit ID space, as shown in Fig. 13(h),in which the asymmetric patterns can be used to provide rollinformation as well.
When a user lifts or tilts the GaussBits from the surface,the image of the magnetic field becomes blurry, potentiallyshrinking the ID design space. The ID design in Fig. 13(e)was tested on a 5mm-thick LCD panel. Its ID was detectedrobustly when the GaussBits hovered 9mm above the displayor when they were tilted with a pitch or yaw of ±15 degreeson the display.
Generally, although the capability of using shape for identifi-cation is limited and the number of IDs is proportional to theresolution of the sensing platform, this method is still usablefor applications that require only a few tangibles.
Combination with Other ID TechniquesIf many IDs are required, then GaussBits can be combinedwith other passive ID techniques, such as the use of an NFCtag, by attaching the passive NFC tag to the bottom of aGaussBit, as shown in Fig. 14(a), or the use of capacitancetags, by deploying a conductive pattern to the bottom of aGaussBit, as shown in Fig. 14(b). Combining both tech-niques provides the advantages of both. The comparison ta-ble (Fig. 14(d)) clearly illustrates the benefits of combiningGaussBit with NFC or TUIC-2D [26] tags. Especially, whencombined with the capacitive TUIC-2D passive tag, a Rol-lable GaussBit can effectively reduces the required size ofTUIC-2D tag because its magnetic field can provide regis-tration information, such as the orientation and position ofthe tag, as shown in Fig. 14(c). Therefore, the smaller tag isbetter suited smaller portable capacitive multitouch displays,such as in smartphones.
Available Information/Type of Tag
IDLocationLocation OrientationOrientation
NoteAvailable
Information/Type of Tag
ID 2D(x,y)
Height(z)
Rotation(Roll)
Tilt(Pitch & Yaw)
Note
NFC Tag vTUIC-2D v v v
Tiltable GaussBit ∆ v v vRollable GaussBit ∆ v v v ∆TUIC-2D + Tiltable v v v vTUIC-2D + Rollable v v v v ∆ *
NFC + Tiltable v v v vNFC + Rollable v v v v ∆
*Can be made smaller than original.∆: Partial
TUIC-2D
PayloadRegistration
TUIC-2D +Rollable GaussBita b c
d
e
Figure 14. GaussBits complement other identification techniques to in-crease the number of ID numbers. GaussBits can be enhanced by usingan (a) NFC tag, or (b) capacitive-based tag. (c) When combined withthe TUIC’s technique, GaussBits can effectively reduces the size that isrequired by TUIC. (d) The table shows the benefits of combining Tiltable
GaussBits or Rollable GaussBits with other ID techniques.
EXPLORATIVE WORKSHOPTo understand how this enabling design space can be appliedto design TUI applications for portable displays, eight design-ers (3 female and 5 male) were recruited from a design schoolto participate in an explorative workshop. All of them weresenior graduate students, and had more than a year of experi-ence of participating in brainstorming workshops.
ProceduresFirst, relevant fundamental knowledge, including the avail-able interaction set and limitations of this technology, is pre-sented. Then, the four applications herein were presentedto the designers to allow them to experience the technol-ogy (Fig. 15(a)). Then, paper clay, various kinds of mag-net, stacks of 3M post-it memos, and white paper were dis-tributed to the designers. With the paper clay in hand, design-ers could make tangible prototypes while brainstorming, andshare their thoughts through the think-aloud protocol. To en-sure the quality of the discussion, participants were split intotwo equally sized groups. Each group engaged in an explo-rative workshop that lasted for two hours, and all activitieswere video-recorded.
Results and DiscussionDuring the two-hour workshop, various ideas were generatedand discussed. Those ideas can be roughly divided into fourcategories, which were real-world simulation, entertainment,toolkits, and display as a tool.
Real-world simulation: By shaping the tangibles into the de-sired form, designers can easily simulate the tasks from thereal world. For example, one designer thought about attach-ing a handle to the ring-shaped GaussBit to simulate a mag-nifying glass, to assist with interior design tasks, or to helpthe tourists navigate a city map. Other ideas, such as garden-ing with physical tools (Fig. 15(b)), or sculpting with a knife,
Using Shape as IDProviding the roll information as well, but no tilt
Subtraction
Addition
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
c d
e f
a b
hgFigure 13. Two methods identifying rollable magnets while determiningthe orientation of roll. (a) Carving a gap in the side of a ring magnetyields the magnetic field that is shown in (b). (c) The image of the mag-netic field shows that the gap can be clearly used to provide the orien-tation. (d) The pink area represents the ID design space. (e) Attachingone or many cylindrical magnets to the side of a ring magnet yields themagnetic field image in (f). (g) The orientation can be resolved and (h)the pink area represents the ID design space.
Scalability of shape as ID: Since multiple magnets are at-tached to each others in the identification method, scalabil-ity should be considered because of interference. For theID design that is shown in Fig. 13(e), a 3mm-height⇥4mm-radius cylindrical magnets where attached around the centralring magnet as a payload, which had a minimal interference-free distance of 9mm. Hence, the 3mm-height⇥19mm-outer-radius magnet had a 7-bit ID space, as shown in Fig. 13(h),in which the asymmetric patterns can be used to provide rollinformation as well.
When a user lifts or tilts the GaussBits from the surface,the image of the magnetic field becomes blurry, potentiallyshrinking the ID design space. The ID design in Fig. 13(e)was tested on a 5mm-thick LCD panel. Its ID was detectedrobustly when the GaussBits hovered 9mm above the displayor when they were tilted with a pitch or yaw of ±15 degreeson the display.
Generally, although the capability of using shape for identifi-cation is limited and the number of IDs is proportional to theresolution of the sensing platform, this method is still usablefor applications that require only a few tangibles.
Combination with Other ID TechniquesIf many IDs are required, then GaussBits can be combinedwith other passive ID techniques, such as the use of an NFCtag, by attaching the passive NFC tag to the bottom of aGaussBit, as shown in Fig. 14(a), or the use of capacitancetags, by deploying a conductive pattern to the bottom of aGaussBit, as shown in Fig. 14(b). Combining both tech-niques provides the advantages of both. The comparison ta-ble (Fig. 14(d)) clearly illustrates the benefits of combiningGaussBit with NFC or TUIC-2D [26] tags. Especially, whencombined with the capacitive TUIC-2D passive tag, a Rol-lable GaussBit can effectively reduces the required size ofTUIC-2D tag because its magnetic field can provide regis-tration information, such as the orientation and position ofthe tag, as shown in Fig. 14(c). Therefore, the smaller tag isbetter suited smaller portable capacitive multitouch displays,such as in smartphones.
Available Information/Type of Tag
IDLocationLocation OrientationOrientation
NoteAvailable
Information/Type of Tag
ID 2D(x,y)
Height(z)
Rotation(Roll)
Tilt(Pitch & Yaw)
Note
NFC Tag vTUIC-2D v v v
Tiltable GaussBit ∆ v v vRollable GaussBit ∆ v v v ∆TUIC-2D + Tiltable v v v vTUIC-2D + Rollable v v v v ∆ *
NFC + Tiltable v v v vNFC + Rollable v v v v ∆
*Can be made smaller than original.∆: Partial
TUIC-2D
PayloadRegistration
TUIC-2D +Rollable GaussBita b c
d
e
Figure 14. GaussBits complement other identification techniques to in-crease the number of ID numbers. GaussBits can be enhanced by usingan (a) NFC tag, or (b) capacitive-based tag. (c) When combined withthe TUIC’s technique, GaussBits can effectively reduces the size that isrequired by TUIC. (d) The table shows the benefits of combining Tiltable
GaussBits or Rollable GaussBits with other ID techniques.
EXPLORATIVE WORKSHOPTo understand how this enabling design space can be appliedto design TUI applications for portable displays, eight design-ers (3 female and 5 male) were recruited from a design schoolto participate in an explorative workshop. All of them weresenior graduate students, and had more than a year of experi-ence of participating in brainstorming workshops.
ProceduresFirst, relevant fundamental knowledge, including the avail-able interaction set and limitations of this technology, is pre-sented. Then, the four applications herein were presentedto the designers to allow them to experience the technol-ogy (Fig. 15(a)). Then, paper clay, various kinds of mag-net, stacks of 3M post-it memos, and white paper were dis-tributed to the designers. With the paper clay in hand, design-ers could make tangible prototypes while brainstorming, andshare their thoughts through the think-aloud protocol. To en-sure the quality of the discussion, participants were split intotwo equally sized groups. Each group engaged in an explo-rative workshop that lasted for two hours, and all activitieswere video-recorded.
Results and DiscussionDuring the two-hour workshop, various ideas were generatedand discussed. Those ideas can be roughly divided into fourcategories, which were real-world simulation, entertainment,toolkits, and display as a tool.
Real-world simulation: By shaping the tangibles into the de-sired form, designers can easily simulate the tasks from thereal world. For example, one designer thought about attach-ing a handle to the ring-shaped GaussBit to simulate a mag-nifying glass, to assist with interior design tasks, or to helpthe tourists navigate a city map. Other ideas, such as garden-ing with physical tools (Fig. 15(b)), or sculpting with a knife,
c d
e f
a b
hgFigure 13. Two methods identifying rollable magnets while determiningthe orientation of roll. (a) Carving a gap in the side of a ring magnetyields the magnetic field that is shown in (b). (c) The image of the mag-netic field shows that the gap can be clearly used to provide the orien-tation. (d) The pink area represents the ID design space. (e) Attachingone or many cylindrical magnets to the side of a ring magnet yields themagnetic field image in (f). (g) The orientation can be resolved and (h)the pink area represents the ID design space.
Scalability of shape as ID: Since multiple magnets are at-tached to each others in the identification method, scalabil-ity should be considered because of interference. For theID design that is shown in Fig. 13(e), a 3mm-height⇥4mm-radius cylindrical magnets where attached around the centralring magnet as a payload, which had a minimal interference-free distance of 9mm. Hence, the 3mm-height⇥19mm-outer-radius magnet had a 7-bit ID space, as shown in Fig. 13(h),in which the asymmetric patterns can be used to provide rollinformation as well.
When a user lifts or tilts the GaussBits from the surface,the image of the magnetic field becomes blurry, potentiallyshrinking the ID design space. The ID design in Fig. 13(e)was tested on a 5mm-thick LCD panel. Its ID was detectedrobustly when the GaussBits hovered 9mm above the displayor when they were tilted with a pitch or yaw of ±15 degreeson the display.
Generally, although the capability of using shape for identifi-cation is limited and the number of IDs is proportional to theresolution of the sensing platform, this method is still usablefor applications that require only a few tangibles.
Combination with Other ID TechniquesIf many IDs are required, then GaussBits can be combinedwith other passive ID techniques, such as the use of an NFCtag, by attaching the passive NFC tag to the bottom of aGaussBit, as shown in Fig. 14(a), or the use of capacitancetags, by deploying a conductive pattern to the bottom of aGaussBit, as shown in Fig. 14(b). Combining both tech-niques provides the advantages of both. The comparison ta-ble (Fig. 14(d)) clearly illustrates the benefits of combiningGaussBit with NFC or TUIC-2D [26] tags. Especially, whencombined with the capacitive TUIC-2D passive tag, a Rol-lable GaussBit can effectively reduces the required size ofTUIC-2D tag because its magnetic field can provide regis-tration information, such as the orientation and position ofthe tag, as shown in Fig. 14(c). Therefore, the smaller tag isbetter suited smaller portable capacitive multitouch displays,such as in smartphones.
Available Information/Type of Tag
IDLocationLocation OrientationOrientation
NoteAvailable
Information/Type of Tag
ID 2D(x,y)
Height(z)
Rotation(Roll)
Tilt(Pitch & Yaw)
Note
NFC Tag vTUIC-2D v v v
Tiltable GaussBit ∆ v v vRollable GaussBit ∆ v v v ∆TUIC-2D + Tiltable v v v vTUIC-2D + Rollable v v v v ∆ *
NFC + Tiltable v v v vNFC + Rollable v v v v ∆
*Can be made smaller than original.∆: Partial
TUIC-2D
PayloadRegistration
TUIC-2D +Rollable GaussBita b c
d
e
Figure 14. GaussBits complement other identification techniques to in-crease the number of ID numbers. GaussBits can be enhanced by usingan (a) NFC tag, or (b) capacitive-based tag. (c) When combined withthe TUIC’s technique, GaussBits can effectively reduces the size that isrequired by TUIC. (d) The table shows the benefits of combining Tiltable
GaussBits or Rollable GaussBits with other ID techniques.
EXPLORATIVE WORKSHOPTo understand how this enabling design space can be appliedto design TUI applications for portable displays, eight design-ers (3 female and 5 male) were recruited from a design schoolto participate in an explorative workshop. All of them weresenior graduate students, and had more than a year of experi-ence of participating in brainstorming workshops.
ProceduresFirst, relevant fundamental knowledge, including the avail-able interaction set and limitations of this technology, is pre-sented. Then, the four applications herein were presentedto the designers to allow them to experience the technol-ogy (Fig. 15(a)). Then, paper clay, various kinds of mag-net, stacks of 3M post-it memos, and white paper were dis-tributed to the designers. With the paper clay in hand, design-ers could make tangible prototypes while brainstorming, andshare their thoughts through the think-aloud protocol. To en-sure the quality of the discussion, participants were split intotwo equally sized groups. Each group engaged in an explo-rative workshop that lasted for two hours, and all activitieswere video-recorded.
Results and DiscussionDuring the two-hour workshop, various ideas were generatedand discussed. Those ideas can be roughly divided into fourcategories, which were real-world simulation, entertainment,toolkits, and display as a tool.
Real-world simulation: By shaping the tangibles into the de-sired form, designers can easily simulate the tasks from thereal world. For example, one designer thought about attach-ing a handle to the ring-shaped GaussBit to simulate a mag-nifying glass, to assist with interior design tasks, or to helpthe tourists navigate a city map. Other ideas, such as garden-ing with physical tools (Fig. 15(b)), or sculpting with a knife,
Combine with other ID techniquesNeed to identify the tag before each session of use
+ NFC tag + Capacitance tag (TUIC-2D)
TUIC [Yu et al. CHI’11]
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Explorative WorkshopTo explore the applicability of GaussBits
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
8 Senior Graduate Students from a Design Institute2 Groups
2 Hours for Each Group
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
1. Experience the Technology
8 Senior Graduate Students from a Design Institute2 Groups
2 Hours for Each Group
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
1. Experience the Technology 2. Brainstorm through prototyping
8 Senior Graduate Students from a Design Institute2 Groups
2 Hours for Each Group
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Selected Ideas
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Real-World Simulation & Entertainment
Sculpting with a Knife
Real-World Simulation & Entertainment
Gardening byWielding an axeSculpting with a Knife
Real-World Simulation & Entertainment
Gardening byWielding an axe
Treasure hunting using a metal detectorSculpting with a Knife
Real-World Simulation & Entertainment
Gardening byWielding an axe
Treasure hunting using a metal detectorSculpting with a Knife
Holding a car for Extreme Racing
Real-World Simulation & Entertainment
Gardening byWielding an axe
Treasure hunting using a metal detectorSculpting with a Knife
Holding a car for Extreme RacingCity map navigation with
a magnifying glass
Real-World Simulation & Entertainment
Fishing with a rod with a magnet as the bait
Gardening byWielding an axe
Treasure hunting using a metal detectorSculpting with a Knife
Holding a car for Extreme RacingCity map navigation with
a magnifying glass
Education
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Second Display as a ToolglassEducation
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Toolkits
Second Display as a ToolglassEducation
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Gardening Storytelling
The proposed wide range of applications demonstrates that GaussBits are easily usable, and would be applied in interesting ways by interaction designers when magnetic-field tracking becomes available as a feature in commodity hardware.
Design > Sensing algorithm > Evaluation > Identification > Explorative Workshop
Conclusion
CapacitanceTag
CapacitiveMultitouch
Display
TUIHardware
2D
TUI Design Space of Portable Displays
ExternalCameras
MarkedObject3D
CapacitanceTag
CapacitiveMultitouch
Display
TUIHardware
2D
AttachableHall-Sensor Grid
GaussBitsGaussSenseMagnetic
Tangible Bits
Conclusion
[Liang et al. UIST’12]
TUI Design Space of Portable Displays
MarkedObject3D
CapacitanceTag
CapacitiveMultitouch
Display
TUIHardware
2D
AttachableHall-Sensor Grid
GaussBitsGaussSenseMagnetic
Tangible Bits
Conclusion
[Liang et al. UIST’12]
TUI Design Space of Portable Displays
3D
CapacitanceTag
CapacitiveMultitouch
Display
TUIHardware
Near-Surface3D
2D
AttachableHall-Sensor Grid
GaussBitsGaussSenseMagnetic
Tangible Bits
Conclusion
[Liang et al. UIST’12]
TUI Design Space of Portable Displays
The Occlusion-Free Near-Surface Tracking MethodEnrich the New Dimension of Tangible Interaction Design
Near-Surface3D Attachable
Hall-Sensor Grid
GaussBitsGaussSenseMagnetic
Tangible Bits
Conclusion
But, there is One More Thing...
[Liang et al. UIST’12]
The Occlusion-Free Near-Surface Tracking MethodEnrich the New Dimension of Tangible Interaction Design
Near-Surface3D Attachable
Hall-Sensor Grid
GaussBitsGaussSenseMagnetic
Tangible Bits
But, there is One More Thing...
[Liang et al. UIST’12]
GaussBits need to work with GaussSense board
AttachableHall-Sensor Grid
GaussSense
[Liang et al. UIST’12]
So, we made a decision.
AttachableHall-Sensor Grid
GaussSense
[Liang et al. UIST’12]
We’d like to help you get a GaussSense board.
AttachableHall-Sensor Grid
GaussSense
[Liang et al. UIST’12]
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PAU2203PAU2202 PAU2201 COU22
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PAU220203PAU220202 PAU220201 COU2202
PAU2303PAU2302 PAU2301 COU23
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PAU3202
PAU3203COU32
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PAU32010102
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PAU430103PAU430102 PAU430101COU4301
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PAU4801
PAU4802
PAU4803
COU48
PAU480101
PAU480102
PAU480103
COU4801
PAU48010101
PAU48010102
PAU48010103
COU480101
PAU480201
PAU480202
PAU480203
COU4802
PAU4903PAU4902 PAU4901 COU49
PAU490103PAU490102 PAU490101 COU4901
PAU49010103PAU49010102 PAU49010101 COU490101
PAU490203PAU490202 PAU490201 COU4902
PAU5003PAU5002 PAU5001 COU50
PAU500103PAU500102 PAU500101 COU5001
PAU50010103PAU50010102 PAU50010101 COU500101
PAU500203PAU500202 PAU500201 COU5002
PAU5103PAU5102 PAU5101 COU51
PAU510103PAU510102 PAU510101 COU5101
PAU51010103PAU51010102 PAU51010101 COU510101
PAU510203PAU510202 PAU510201 COU5102
PAU5203PAU5202 PAU5201 COU52
PAU520103PAU520102 PAU520101 COU5201
PAU52010103PAU52010102 PAU52010101 COU520101
PAU520203PAU520202 PAU520201 COU5202
PAU5303PAU5302 PAU5301 COU53
PAU530103PAU530102 PAU530101 COU5301
PAU53010103PAU53010102 PAU53010101 COU530101
PAU530203PAU530202 PAU530201 COU5302
PAU5403PAU5402 PAU5401 COU54
PAU540103PAU540102 PAU540101 COU5401
PAU54010103PAU54010102 PAU54010101 COU540101
PAU540203PAU540202 PAU540201 COU5402
PAU5503PAU5502 PAU5501 COU55
PAU550103PAU550102 PAU550101 COU5501
PAU55010103PAU55010102 PAU55010101 COU550101
PAU550203PAU550202 PAU550201 COU5502
PAU5603PAU5602 PAU5601 COU56
PAU560103PAU560102 PAU560101 COU5601
PAU56010103PAU56010102 PAU56010101 COU560101
PAU560203PAU560202 PAU560201 COU5602
PAU5703PAU5702 PAU5701 COU57
PAU570103PAU570102 PAU570101 COU5701
PAU57010103PAU57010102 PAU57010101 COU570101
PAU570203PAU570202 PAU570201 COU5702
PAU5803PAU5802 PAU5801 COU58
PAU580103PAU580102 PAU580101 COU5801
PAU58010103PAU58010102 PAU58010101 COU580101
PAU580203PAU580202 PAU580201 COU5802
PAU5903PAU5902 PAU5901 COU59
PAU590103PAU590102 PAU590101 COU5901
PAU59010103PAU59010102 PAU59010101 COU590101
PAU590203PAU590202 PAU590201 COU5902
PAU6003PAU6002 PAU6001 COU60
PAU600103PAU600102 PAU600101 COU6001
PAU60010103PAU60010102 PAU60010101 COU600101
PAU600203PAU600202 PAU600201 COU6002
PAU6103PAU6102 PAU6101 COU61
PAU610103PAU610102 PAU610101 COU6101
PAU61010103PAU61010102 PAU61010101 COU610101
PAU610203PAU610202 PAU610201 COU6102
PAU6203PAU6202 PAU6201 COU62
PAU620103PAU620102 PAU620101 COU6201
PAU62010103PAU62010102 PAU62010101 COU620101
PAU620203PAU620202 PAU620201 COU6202
PAU6303PAU6302 PAU6301 COU63
PAU630103PAU630102 PAU630101 COU6301
PAU63010103PAU63010102 PAU63010101 COU630101
PAU630203PAU630202 PAU630201 COU6302
PAU6401
PAU6402
PAU6403COU64
PAU640101
PAU640102
PAU640103COU6401
PAU64010101
PAU64010102
PAU64010103COU640101
PAU640201PAU640202
PAU640203COU6402
PAU6503PAU6502 PAU6501COU65
PAU650103PAU650102 PAU650101COU6501
PAU6603PAU6602 PAU6601COU66
PAU660103PAU660102 PAU660101COU6601
PAU6703PAU6702 PAU6701COU67
PAU670103PAU670102 PAU670101COU6701
PAU6803PAU6802 PAU6801COU68
PAU680103PAU680102 PAU680101COU6801
PAU6903PAU6902 PAU6901COU69
PAU690103PAU690102 PAU690101COU6901
PAU7003PAU7002 PAU7001COU70
PAU700103PAU700102 PAU700101COU7001
PAU7103PAU7102 PAU7101COU71
PAU710103PAU710102 PAU710101COU7101
PAU7203PAU7202 PAU7201COU72
PAU720103PAU720102 PAU720101COU7201
PAU7303PAU7302 PAU7301COU73
PAU730103PAU730102 PAU730101COU7301
PAU7403PAU7402 PAU7401COU74
PAU740103PAU740102 PAU740101COU7401
PAU7503PAU7502 PAU7501COU75
PAU750103PAU750102 PAU750101COU7501
PAU7603PAU7602 PAU7601COU76
PAU760103PAU760102 PAU760101COU7601
PAU7703PAU7702 PAU7701COU77
PAU770103PAU770102 PAU770101COU7701
PAU7803PAU7802 PAU7801COU78
PAU780103PAU780102 PAU780101COU7801
PAU7903PAU7902 PAU7901COU79
PAU790103PAU790102 PAU790101COU7901
PAU8001
PAU8002
PAU8003COU80
PAU800101
PAU800102
PAU800103
COU8001
PAU8103PAU8102 PAU8101 COU81
PAU810103PAU810102 PAU810101 COU8101
PAU8203PAU8202 PAU8201 COU82
PAU820103PAU820102 PAU820101 COU8201
PAU8303PAU8302 PAU8301 COU83
PAU830103PAU830102 PAU830101 COU8301
PAU8403PAU8402 PAU8401 COU84
PAU840103PAU840102 PAU840101 COU8401
PAU8503PAU8502 PAU8501 COU85
PAU850103PAU850102 PAU850101 COU8501
PAU8603PAU8602 PAU8601 COU86
PAU860103PAU860102 PAU860101 COU8601
PAU8703PAU8702 PAU8701 COU87
PAU870103PAU870102 PAU870101 COU8701
PAU8803PAU8802 PAU8801 COU88
PAU880103PAU880102 PAU880101 COU8801
PAU8903PAU8902 PAU8901 COU89
PAU890103PAU890102 PAU890101 COU8901
PAU9003PAU9002 PAU9001 COU90
PAU900103PAU900102 PAU900101 COU9001
PAU9103PAU9102 PAU9101 COU91
PAU910103PAU910102 PAU910101 COU9101
PAU9203PAU9202 PAU9201 COU92
PAU920103PAU920102 PAU920101 COU9201
PAU9303PAU9302 PAU9301 COU93
PAU930103PAU930102 PAU930101 COU9301
PAU9403PAU9402 PAU9401 COU94
PAU940103PAU940102 PAU940101 COU9401
PAU9503PAU9502 PAU9501 COU95
PAU950103PAU950102 PAU950101 COU9501
PAU9601
PAU9602
PAU9603COU96
PAU960101
PAU960102
PAU960103COU9601
PAU9703PAU9702 PAU9701COU97
PAU970103PAU970102 PAU970101COU9701
PAU9803PAU9802 PAU9801COU98
PAU980103PAU980102 PAU980101COU9801
PAU9903PAU9902 PAU9901COU99
PAU990103PAU990102 PAU990101COU9901
PAU10003PAU10002 PAU10001COU100
PAU1000103PAU1000102 PAU1000101COU10001
PAU10103PAU10102 PAU10101
PAU1010103PAU1010102 PAU1010101
PAU10203PAU10202 PAU10201
PAU1020103PAU1020102 PAU1020101COU10201
PAU10303PAU10302 PAU10301COU103
PAU1030103PAU1030102 PAU1030101COU10301
PAU10403PAU10402 PAU10401COU104
PAU1040103PAU1040102 PAU1040101COU10401
PAU10503PAU10502 PAU10501COU105
PAU1050103PAU1050102 PAU1050101COU10501
PAU10603PAU10602 PAU10601COU106
PAU1060103PAU1060102 PAU1060101COU10601
PAU10703PAU10702 PAU10701COU107
PAU1070103PAU1070102 PAU1070101COU10701
PAU10803PAU10802 PAU10801COU108
PAU1080103PAU1080102 PAU1080101COU10801
PAU10903PAU10902 PAU10901COU109
PAU1090103PAU1090102 PAU1090101COU10901
PAU11003PAU11002 PAU11001COU110
PAU1100103PAU1100102 PAU1100101COU11001
PAU11103PAU11102 PAU11101COU111
PAU1110103PAU1110102 PAU1110101COU11101
PAU11201
PAU11202
PAU11203
COU112
PAU1120101
PAU1120102
PAU1120103
COU11201
PAU11303PAU11302 PAU11301 COU113
PAU1130103PAU1130102 PAU1130101 COU11301
PAU11403PAU11402 PAU11401 COU114
PAU1140103PAU1140102 PAU1140101 COU11401
PAU11503PAU11502 PAU11501 COU115
PAU1150103PAU1150102 PAU1150101 COU11501
PAU11603PAU11602 PAU11601 COU116
PAU1160103PAU1160102 PAU1160101 COU11601
PAU11703PAU11702 PAU11701 COU117
PAU1170103PAU1170102 PAU1170101 COU11701
PAU11803PAU11802 PAU11801 COU118
PAU1180103PAU1180102 PAU1180101 COU11801
PAU11903PAU11902 PAU11901 COU119
PAU1190103PAU1190102 PAU1190101 COU11901
PAU12003PAU12002 PAU12001 COU120
PAU1200103PAU1200102 PAU1200101 COU12001
PAU12103PAU12102 PAU12101 COU121
PAU1210103PAU1210102 PAU1210101 COU12101
PAU12203PAU12202 PAU12201 COU122
PAU1220103PAU1220102 PAU1220101 COU12201
PAU12303PAU12302 PAU12301 COU123
PAU1230103PAU1230102 PAU1230101 COU12301
PAU12403PAU12402 PAU12401 COU124
PAU1240103PAU1240102 PAU1240101 COU12401
PAU12503PAU12502 PAU12501 COU125
PAU1250103PAU1250102 PAU1250101 COU12501
PAU12603PAU12602 PAU12601 COU126
PAU1260103PAU1260102 PAU1260101 COU12601
PAU12703PAU12702 PAU12701 COU127
PAU1270103PAU1270102 PAU1270101 COU12701
PAU12801
PAU12802
PAU12803COU128
PAU1280101
PAU1280102
PAU1280103COU12801
PAU12903PAU12902 PAU12901
COU129
PAU1290103PAU1290102 PAU1290101COU12901
PAU13003PAU13002 PAU13001COU130
PAU1300103PAU1300102 PAU1300101COU13001
PAU13103PAU13102 PAU13101COU131
PAU1310103PAU1310102 PAU1310101COU13101
PAU13203PAU13202 PAU13201COU132
PAU1320103PAU1320102 PAU1320101COU13201
PAU13303PAU13302 PAU13301COU133
PAU1330103PAU1330102 PAU1330101COU13301
PAU13403PAU13402 PAU13401COU134
PAU1340103PAU1340102 PAU1340101COU13401
PAU13503PAU13502 PAU13501COU135
PAU1350103PAU1350102 PAU1350101COU13501
PAU13603PAU13602 PAU13601COU136
PAU1360103PAU1360102 PAU1360101COU13601
PAU13703PAU13702 PAU13701COU137
PAU1370103PAU1370102 PAU1370101COU13701
PAU13803PAU13802 PAU13801COU138
PAU1380103PAU1380102 PAU1380101COU13801
PAU13903PAU13902 PAU13901COU139
PAU1390103PAU1390102 PAU1390101COU13901
PAU14003PAU14002 PAU14001COU140
PAU1400103PAU1400102 PAU1400101COU14001
PAU14103PAU14102 PAU14101COU141
PAU1410103PAU1410102 PAU1410101COU14101
PAU14203PAU14202 PAU14201COU142
PAU1420103PAU1420102 PAU1420101COU14201
PAU14303PAU14302 PAU14301COU143
PAU1430103PAU1430102 PAU1430101COU14301
PAU14401
PAU14402
PAU14403
COU144
PAU1440101
PAU1440102
PAU1440103
COU14401
PAU14503PAU14502 PAU14501 COU145
PAU1450103PAU1450102 PAU1450101 COU14501
PAU14603PAU14602 PAU14601 COU146
PAU1460103PAU1460102 PAU1460101 COU14601
PAU14703PAU14702 PAU14701 COU147
PAU1470103PAU1470102 PAU1470101 COU14701
PAU14803PAU14802 PAU14801 COU148
PAU1480103PAU1480102 PAU1480101 COU14801
PAU14903PAU14902 PAU14901 COU149
PAU1490103PAU1490102 PAU1490101 COU14901
PAU15003PAU15002 PAU15001 COU150
PAU1500103PAU1500102 PAU1500101 COU15001
PAU15103PAU15102 PAU15101 COU151
PAU1510103PAU1510102 PAU1510101 COU15101
PAU15203PAU15202 PAU15201 COU152
PAU1520103PAU1520102 PAU1520101 COU15201
PAU15303PAU15302 PAU15301 COU153
PAU1530103PAU1530102 PAU1530101 COU15301
PAU15403PAU15402 PAU15401 COU154
PAU1540103PAU1540102 PAU1540101 COU15401
PAU15503PAU15502 PAU15501 COU155
PAU1550103PAU1550102 PAU1550101 COU15501
PAU15603PAU15602 PAU15601 COU156
PAU1560103PAU1560102 PAU1560101 COU15601
PAU15703PAU15702 PAU15701 COU157
PAU1570103PAU1570102 PAU1570101 COU15701
PAU15803PAU15802 PAU15801 COU158
PAU1580103PAU1580102 PAU1580101 COU15801
PAU15903PAU15902 PAU15901 COU159
PAU1590103PAU1590102 PAU1590101 COU15901
PAU16001
PAU16002
PAU16003COU160
PAU1600101
PAU1600102
PAU1600103COU16001
PAU16103PAU16102 PAU16101COU161
PAU1610103PAU1610102 PAU1610101COU16101
PAU16203PAU16202 PAU16201COU162
PAU1620103PAU1620102 PAU1620101COU16201
PAU16303PAU16302 PAU16301COU163
PAU1630103PAU1630102 PAU1630101COU16301
PAU16403PAU16402 PAU16401COU164
PAU1640103PAU1640102 PAU1640101COU16401
PAU16503PAU16502 PAU16501COU165
PAU1650103PAU1650102 PAU1650101COU16501
PAU16603PAU16602 PAU16601COU166
PAU1660103PAU1660102 PAU1660101COU16601
PAU16703PAU16702 PAU16701COU167
PAU1670103PAU1670102 PAU1670101COU16701
PAU16803PAU16802 PAU16801COU168
PAU1680103PAU1680102 PAU1680101COU16801
PAU16903PAU16902 PAU16901COU169
PAU1690103PAU1690102 PAU1690101COU16901
PAU17003PAU17002 PAU17001COU170
PAU1700103PAU1700102 PAU1700101COU17001
PAU17103PAU17102 PAU17101COU171
PAU1710103PAU1710102 PAU1710101COU17101
PAU17203PAU17202 PAU17201COU172
PAU1720103PAU1720102 PAU1720101COU17201
PAU17303PAU17302 PAU17301COU173
PAU1730103PAU1730102 PAU1730101COU17301
PAU17403PAU17402 PAU17401COU174
PAU1740103PAU1740102 PAU1740101COU17401
PAU17503PAU17502 PAU17501COU175
PAU1750103PAU1750102 PAU1750101COU17501
PAU17601
PAU17602
PAU17603
COU176
PAU1760101
PAU1760102
PAU1760103
COU17601
PAU17703PAU17702 PAU17701 COU177
PAU1770103PAU1770102 PAU1770101 COU17701
PAU17803PAU17802 PAU17801 COU178
PAU1780103PAU1780102 PAU1780101 COU17801
PAU17903PAU17902 PAU17901 COU179
PAU1790103PAU1790102 PAU1790101 COU17901
PAU18003PAU18002 PAU18001 COU180
PAU1800103PAU1800102 PAU1800101 COU18001
PAU18103PAU18102 PAU18101 COU181
PAU1810103PAU1810102 PAU1810101 COU18101
PAU18203PAU18202 PAU18201 COU182
PAU1820103PAU1820102 PAU1820101 COU18201
PAU18303PAU18302 PAU18301 COU183
PAU1830103PAU1830102 PAU1830101 COU18301
PAU18403PAU18402 PAU18401 COU184
PAU1840103PAU1840102 PAU1840101 COU18401
PAU18503PAU18502 PAU18501 COU185
PAU1850103PAU1850102 PAU1850101 COU18501
PAU18603PAU18602 PAU18601 COU186
PAU1860103PAU1860102 PAU1860101 COU18601
PAU18703PAU18702 PAU18701 COU187
PAU1870103PAU1870102 PAU1870101 COU18701
PAU18803PAU18802 PAU18801 COU188
PAU1880103PAU1880102 PAU1880101 COU18801
PAU18903PAU18902 PAU18901 COU189
PAU1890103PAU1890102 PAU1890101 COU18901
PAU19003PAU19002 PAU19001 COU190
PAU1900103PAU1900102 PAU1900101 COU19001
PAU19103PAU19102 PAU19101 COU191
PAU1910103PAU1910102 PAU1910101 COU19101
PAU19201
PAU19202
PAU19203COU192
PAU1920101
PAU1920102
PAU1920103COU19201
PAU193013PAU193014PAU193015PAU193016PAU193017PAU193018PAU193019PAU193020PAU193021PAU193022PAU193023PAU193024
PAU193012PAU193011PAU193010PAU19309PAU19308PAU19307PAU19306PAU19305PAU19304PAU19303PAU19302PAU19301COU193
PAU19301013PAU19301014PAU19301015PAU19301016PAU19301017PAU19301018PAU19301019PAU19301020PAU19301021PAU19301022PAU19301023PAU19301024
PAU19301012PAU19301011PAU19301010PAU1930109PAU1930108PAU1930107PAU1930106PAU1930105PAU1930104PAU1930103PAU1930102PAU1930101COU19301
PAU1930101013PAU1930101014PAU1930101015PAU1930101016PAU1930101017PAU1930101018PAU1930101019PAU1930101020PAU1930101021PAU1930101022PAU1930101023PAU1930101024
PAU1930101012PAU1930101011PAU1930101010PAU193010109PAU193010108PAU193010107PAU193010106PAU193010105PAU193010104PAU193010103PAU193010102PAU193010101COU1930101
PAU19302013PAU19302014PAU19302015PAU19302016PAU19302017PAU19302018PAU19302019PAU19302020PAU19302021PAU19302022PAU19302023PAU19302024
PAU19302012PAU19302011PAU19302010PAU1930209PAU1930208PAU1930207PAU1930206PAU1930205PAU1930204PAU1930203PAU1930202PAU1930201COU19302
PAU19401PAU19402PAU19403PAU19404
PAU19405PAU19406PAU19407PAU19408
PAU19409PAU194010PAU194011PAU194012
PAU194024PAU194023PAU194022PAU194021
PAU194020PAU194019PAU194018PAU194017
PAU194016PAU194015PAU194014PAU194013
COU194
PAU1940101PAU1940102PAU1940103PAU1940104
PAU1940105PAU1940106PAU1940107PAU1940108
PAU1940109PAU19401010PAU19401011PAU19401012
PAU19401024PAU19401023PAU19401022PAU19401021
PAU19401020PAU19401019PAU19401018PAU19401017
PAU19401016PAU19401015PAU19401014PAU19401013
COU19401
PAU194010101PAU194010102PAU194010103PAU194010104
PAU194010105PAU194010106PAU194010107PAU194010108
PAU194010109PAU1940101010PAU1940101011PAU1940101012
PAU1940101024PAU1940101023PAU1940101022PAU1940101021
PAU1940101020PAU1940101019PAU1940101018PAU1940101017
PAU1940101016PAU1940101015PAU1940101014PAU1940101013
COU1940101PAU1940201PAU1940202PAU1940203PAU1940204
PAU1940205PAU1940206PAU1940207PAU1940208
PAU1940209PAU19402010PAU19402011PAU19402012
PAU19402024PAU19402023PAU19402022PAU19402021
PAU19402020PAU19402019PAU19402018PAU19402017
PAU19402016PAU19402015PAU19402014PAU19402013
COU19402
PAU195013PAU195014PAU195015PAU195016PAU195017PAU195018PAU195019PAU195020PAU195021PAU195022PAU195023PAU195024
PAU195012PAU195011PAU195010PAU19509PAU19508PAU19507PAU19506PAU19505PAU19504PAU19503PAU19502PAU19501COU195
PAU19501013PAU19501014PAU19501015PAU19501016PAU19501017PAU19501018PAU19501019PAU19501020PAU19501021PAU19501022PAU19501023PAU19501024
PAU19501012PAU19501011PAU19501010PAU1950109PAU1950108PAU1950107PAU1950106PAU1950105PAU1950104PAU1950103PAU1950102PAU1950101COU19501
PAU1950101013PAU1950101014PAU1950101015PAU1950101016PAU1950101017PAU1950101018PAU1950101019PAU1950101020PAU1950101021PAU1950101022PAU1950101023PAU1950101024
PAU1950101012PAU1950101011PAU1950101010PAU195010109PAU195010108PAU195010107PAU195010106PAU195010105PAU195010104PAU195010103PAU195010102PAU195010101COU1950101
PAU19502013PAU19502014PAU19502015PAU19502016PAU19502017PAU19502018PAU19502019PAU19502020PAU19502021PAU19502022PAU19502023PAU19502024
PAU19502012PAU19502011PAU19502010PAU1950209PAU1950208PAU1950207PAU1950206PAU1950205PAU1950204PAU1950203PAU1950202PAU1950201COU19502
PAU19601PAU19602PAU19603PAU19604
PAU19605PAU19606PAU19607PAU19608
PAU19609PAU196010PAU196011PAU196012
PAU196024PAU196023PAU196022PAU196021
PAU196020PAU196019PAU196018PAU196017
PAU196016PAU196015PAU196014PAU196013
COU196
PAU1960101PAU1960102PAU1960103PAU1960104
PAU1960105PAU1960106PAU1960107PAU1960108
PAU1960109PAU19601010PAU19601011PAU19601012
PAU19601024PAU19601023PAU19601022PAU19601021
PAU19601020PAU19601019PAU19601018PAU19601017
PAU19601016PAU19601015PAU19601014PAU19601013
COU19601PAU196010101PAU196010102PAU196010103PAU196010104
PAU196010105PAU196010106PAU196010107PAU196010108
PAU196010109PAU1960101010PAU1960101011PAU1960101012
PAU1960101024PAU1960101023PAU1960101022PAU1960101021
PAU1960101020PAU1960101019PAU1960101018PAU1960101017
PAU1960101016PAU1960101015PAU1960101014PAU1960101013
COU1960101PAU1960201PAU1960202PAU1960203PAU1960204
PAU1960205PAU1960206PAU1960207PAU1960208
PAU1960209PAU19602010PAU19602011PAU19602012
PAU19602024PAU19602023PAU19602022PAU19602021
PAU19602020PAU19602019PAU19602018PAU19602017
PAU19602016PAU19602015PAU19602014PAU19602013
COU19602
PAU197013PAU197014PAU197015PAU197016PAU197017PAU197018PAU197019PAU197020PAU197021PAU197022PAU197023PAU197024
PAU197012PAU197011PAU197010PAU19709PAU19708PAU19707PAU19706PAU19705PAU19704PAU19703PAU19702PAU19701COU197
PAU19701013PAU19701014PAU19701015PAU19701016PAU19701017PAU19701018PAU19701019PAU19701020PAU19701021PAU19701022PAU19701023PAU19701024
PAU19701012PAU19701011PAU19701010PAU1970109PAU1970108PAU1970107PAU1970106PAU1970105PAU1970104PAU1970103PAU1970102PAU1970101COU19701
PAU19801PAU19802PAU19803PAU19804
PAU19805PAU19806PAU19807PAU19808
PAU19809PAU198010PAU198011PAU198012
PAU198024PAU198023PAU198022PAU198021
PAU198020PAU198019PAU198018PAU198017
PAU198016PAU198015PAU198014PAU198013
COU198
PAU1980101PAU1980102PAU1980103PAU1980104
PAU1980105PAU1980106PAU1980107PAU1980108
PAU1980109PAU19801010PAU19801011PAU19801012
PAU19801024PAU19801023PAU19801022PAU19801021
PAU19801020PAU19801019PAU19801018PAU19801017
PAU19801016PAU19801015PAU19801014PAU19801013
COU19801
PAU199013PAU199014PAU199015PAU199016PAU199017PAU199018PAU199019PAU199020PAU199021PAU199022PAU199023PAU199024
PAU199012PAU199011PAU199010PAU19909PAU19908PAU19907PAU19906PAU19905PAU19904PAU19903PAU19902PAU19901COU199
PAU19901013PAU19901014PAU19901015PAU19901016PAU19901017PAU19901018PAU19901019PAU19901020PAU19901021PAU19901022PAU19901023PAU19901024
PAU19901012PAU19901011PAU19901010PAU1990109PAU1990108PAU1990107PAU1990106PAU1990105PAU1990104PAU1990103PAU1990102PAU1990101COU19901
PAU20001PAU20002PAU20003PAU20004
PAU20005PAU20006PAU20007PAU20008
PAU20009PAU200010PAU200011PAU200012
PAU200024PAU200023PAU200022PAU200021
PAU200020PAU200019PAU200018PAU200017
PAU200016PAU200015PAU200014PAU200013
COU200
PAU2000101PAU2000102PAU2000103PAU2000104
PAU2000105PAU2000106PAU2000107PAU2000108
PAU2000109PAU20001010PAU20001011PAU20001012
PAU20001024PAU20001023PAU20001022PAU20001021
PAU20001020PAU20001019PAU20001018PAU20001017
PAU20001016PAU20001015PAU20001014PAU20001013
COU20001
PAU201013PAU201014PAU201015PAU201016PAU201017PAU201018PAU201019PAU201020PAU201021PAU201022PAU201023PAU201024
PAU201012PAU201011PAU201010PAU20109PAU20108PAU20107PAU20106PAU20105PAU20104PAU20103PAU20102PAU20101
PAU20101013PAU20101014PAU20101015PAU20101016PAU20101017PAU20101018PAU20101019PAU20101020PAU20101021PAU20101022PAU20101023PAU20101024
PAU20101012PAU20101011PAU20101010PAU2010109PAU2010108PAU2010107PAU2010106PAU2010105PAU2010104PAU2010103PAU2010102PAU2010101
PAU20201PAU20202PAU20203PAU20204
PAU20205PAU20206PAU20207PAU20208
PAU20209PAU202010PAU202011PAU202012
PAU202024PAU202023PAU202022PAU202021
PAU202020PAU202019PAU202018PAU202017
PAU202016PAU202015PAU202014PAU202013
PAU2020101PAU2020102PAU2020103PAU2020104
PAU2020105PAU2020106PAU2020107PAU2020108
PAU2020109PAU20201010PAU20201011PAU20201012
PAU20201024PAU20201023PAU20201022PAU20201021
PAU20201020PAU20201019PAU20201018PAU20201017
PAU20201016PAU20201015PAU20201014PAU20201013
COU20201
PAU203013PAU203014PAU203015PAU203016PAU203017PAU203018PAU203019PAU203020PAU203021PAU203022PAU203023PAU203024
PAU203012PAU203011PAU203010PAU20309PAU20308PAU20307PAU20306PAU20305PAU20304PAU20303PAU20302PAU20301COU203
PAU20301013PAU20301014PAU20301015PAU20301016PAU20301017PAU20301018PAU20301019PAU20301020PAU20301021PAU20301022PAU20301023PAU20301024
PAU20301012PAU20301011PAU20301010PAU2030109PAU2030108PAU2030107PAU2030106PAU2030105PAU2030104PAU2030103PAU2030102PAU2030101COU20301
PAU20401PAU20402PAU20403PAU20404
PAU20405PAU20406PAU20407PAU20408
PAU20409PAU204010PAU204011PAU204012
PAU204024PAU204023PAU204022PAU204021
PAU204020PAU204019PAU204018PAU204017
PAU204016PAU204015PAU204014PAU204013
COU204PAU2040101PAU2040102PAU2040103PAU2040104
PAU2040105PAU2040106PAU2040107PAU2040108
PAU2040109PAU20401010PAU20401011PAU20401012
PAU20401024PAU20401023PAU20401022PAU20401021
PAU20401020PAU20401019PAU20401018PAU20401017
PAU20401016PAU20401015PAU20401014PAU20401013
COU20401
PAUS01013PAUS01014PAUS01015PAUS01016
PAUS01017PAUS01018PAUS01019
PAUS01020PAUS01021PAUS01022
PAUS01023PAUS01024
PAUS01012PAUS01011PAUS01010PAUS0109
PAUS0108PAUS0107PAUS0106
PAUS0105PAUS0104PAUS0103
PAUS0102PAUS0101
COUS01
PAUS0101013PAUS0101014
PAUS0101015PAUS0101016PAUS0101017
PAUS0101018PAUS0101019PAUS0101020PAUS0101021PAUS0101022PAUS0101023PAUS0101024
PAUS0101012PAUS0101011
PAUS0101010PAUS010109PAUS010108
PAUS010107PAUS010106PAUS010105PAUS010104PAUS010103PAUS010102PAUS010101
COUS0101 PADesignator101PAU102 PAU10102PAU1010102PAU10202
PAU202 PAU20102PAU2010102PAU20202
PAU302 PAU30102PAU3010102PAU30202
PAU402 PAU40102PAU4010102PAU40202
PAU502 PAU50102PAU5010102PAU50202
PAU602 PAU60102PAU6010102PAU60202
PAU702 PAU70102PAU7010102PAU70202
PAU802 PAU80102PAU8010102PAU80202
PAU902 PAU90102PAU9010102PAU90202
PAU1002 PAU100102PAU10010102PAU100202
PAU1102 PAU110102PAU11010102PAU110202
PAU1202 PAU120102PAU12010102PAU120202
PAU1302 PAU130102PAU13010102PAU130202
PAU1402 PAU140102PAU14010102PAU140202
PAU1502 PAU150102PAU15010102PAU150202
PAU1602 PAU160102PAU16010102PAU160202
PAU1702 PAU170102PAU17010102PAU170202
PAU1802 PAU180102PAU18010102PAU180202
PAU1902 PAU190102PAU19010102PAU190202
PAU2002 PAU200102PAU20010102PAU200202
PAU2102 PAU210102PAU21010102PAU210202
PAU2202 PAU220102PAU22010102PAU220202
PAU2302 PAU230102PAU23010102PAU230202
PAU2402 PAU240102PAU24010102PAU240202
PAU2502 PAU250102PAU25010102PAU250202
PAU2602 PAU260102PAU26010102PAU260202
PAU2702 PAU270102PAU27010102PAU270202
PAU2802 PAU280102PAU28010102PAU280202
PAU2902 PAU290102PAU29010102PAU290202
PAU3002 PAU300102PAU30010102PAU300202
PAU3102 PAU310102PAU31010102PAU310202
PAU3202 PAU320102PAU32010102PAU320202
PAU3302 PAU330102PAU33010102PAU330202
PAU3402 PAU340102PAU34010102PAU340202
PAU3502 PAU350102PAU35010102PAU350202
PAU3602 PAU360102PAU36010102PAU360202
PAU3702 PAU370102PAU37010102PAU370202
PAU3802 PAU380102PAU38010102PAU380202
PAU3902 PAU390102PAU39010102PAU390202
PAU4002 PAU400102PAU40010102PAU400202
PAU4102 PAU410102PAU41010102PAU410202
PAU4202 PAU420102PAU42010102PAU420202
PAU4302 PAU430102PAU43010102PAU430202
PAU4402 PAU440102PAU44010102PAU440202
PAU4502 PAU450102PAU45010102PAU450202
PAU4602 PAU460102PAU46010102PAU460202
PAU4702 PAU470102PAU47010102PAU470202
PAU4802 PAU480102PAU48010102PAU480202
PAU4902 PAU490102PAU49010102PAU490202
PAU5002 PAU500102PAU50010102PAU500202
PAU5102 PAU510102PAU51010102PAU510202
PAU5202 PAU520102PAU52010102PAU520202
PAU5302 PAU530102PAU53010102PAU530202
PAU5402 PAU540102PAU54010102PAU540202
PAU5502 PAU550102PAU55010102PAU550202
PAU5602 PAU560102PAU56010102PAU560202
PAU5702 PAU570102PAU57010102PAU570202
PAU5802 PAU580102PAU58010102PAU580202
PAU5902 PAU590102PAU59010102PAU590202
PAU6002 PAU600102PAU60010102PAU600202
PAU6102 PAU610102PAU61010102PAU610202
PAU6202 PAU620102PAU62010102PAU620202
PAU6302 PAU630102PAU63010102PAU630202
PAU6402 PAU640102PAU64010102PAU640202
PAU6502PAU650102
PAU6602PAU660102
PAU6702PAU670102
PAU6802PAU680102
PAU6902PAU690102
PAU7002PAU700102
PAU7102PAU710102
PAU7202PAU720102
PAU7302PAU730102
PAU7402PAU740102
PAU7502PAU750102
PAU7602PAU760102
PAU7702PAU770102
PAU7802PAU780102
PAU7902PAU790102
PAU8002PAU800102
PAU8102PAU810102
PAU8202PAU820102
PAU8302PAU830102
PAU8402PAU840102
PAU8502PAU850102
PAU8602PAU860102
PAU8702PAU870102
PAU8802PAU880102
PAU8902PAU890102
PAU9002PAU900102
PAU9102PAU910102
PAU9202PAU920102
PAU9302PAU930102
PAU9402PAU940102
PAU9502PAU950102
PAU9602PAU960102
PAU9702PAU970102
PAU9802PAU980102
PAU9902PAU990102
PAU10002PAU1000102PAU1020102
PAU10302PAU1030102
PAU10402PAU1040102
PAU10502PAU1050102
PAU10602PAU1060102
PAU10702PAU1070102
PAU10802PAU1080102
PAU10902PAU1090102
PAU11002PAU1100102
PAU11102PAU1110102
PAU11202PAU1120102
PAU11302PAU1130102
PAU11402PAU1140102
PAU11502PAU1150102
PAU11602PAU1160102
PAU11702PAU1170102
PAU11802PAU1180102
PAU11902PAU1190102
PAU12002PAU1200102
PAU12102PAU1210102
PAU12202PAU1220102
PAU12302PAU1230102
PAU12402PAU1240102
PAU12502PAU1250102
PAU12602PAU1260102
PAU12702PAU1270102
PAU12802PAU1280102
PAU12902PAU1290102
PAU13002PAU1300102
PAU13102PAU1310102
PAU13202PAU1320102
PAU13302PAU1330102
PAU13402PAU1340102
PAU13502PAU1350102
PAU13602PAU1360102
PAU13702PAU1370102
PAU13802PAU1380102
PAU13902PAU1390102
PAU14002PAU1400102
PAU14102PAU1410102
PAU14202PAU1420102
PAU14302PAU1430102
PAU14402PAU1440102
PAU14502PAU1450102
PAU14602PAU1460102
PAU14702PAU1470102
PAU14802PAU1480102
PAU14902PAU1490102
PAU15002PAU1500102
PAU15102PAU1510102
PAU15202PAU1520102
PAU15302PAU1530102
PAU15402PAU1540102
PAU15502PAU1550102
PAU15602PAU1560102
PAU15702PAU1570102
PAU15802PAU1580102
PAU15902PAU1590102
PAU16002PAU1600102
PAU16102PAU1610102
PAU16202PAU1620102
PAU16302PAU1630102
PAU16402PAU1640102
PAU16502PAU1650102
PAU16602PAU1660102
PAU16702PAU1670102
PAU16802PAU1680102
PAU16902PAU1690102
PAU17002PAU1700102
PAU17102PAU1710102
PAU17202PAU1720102
PAU17302PAU1730102
PAU17402PAU1740102
PAU17502PAU1750102
PAU17602PAU1760102
PAU17702PAU1770102
PAU17802PAU1780102
PAU17902PAU1790102
PAU18002PAU1800102
PAU18102PAU1810102
PAU18202PAU1820102
PAU18302PAU1830102
PAU18402PAU1840102
PAU18502PAU1850102
PAU18602PAU1860102
PAU18702PAU1870102
PAU18802PAU1880102
PAU18902PAU1890102
PAU19002PAU1900102
PAU19102PAU1910102
PAU19202PAU1920102
PAU193012PAU193015
PAU19301012PAU19301015
PAU1930101012PAU1930101015
PAU19302012PAU19302015
PAU194012PAU194015
PAU19401012PAU19401015
PAU1940101012PAU1940101015
PAU19402012PAU19402015
PAU195012PAU195015
PAU19501012PAU19501015
PAU1950101012PAU1950101015
PAU19502012PAU19502015
PAU196012PAU196015
PAU19601012PAU19601015
PAU1960101012PAU1960101015
PAU19602012PAU19602015
PAU197012PAU197015
PAU19701012PAU19701015
PAU198012PAU198015
PAU19801012PAU19801015
PAU199012PAU199015
PAU19901012PAU19901015
PAU200012PAU200015
PAU20001012PAU20001015
PAU201012PAU201015
PAU20101012PAU20101015
PAU202012PAU202015
PAU20201012PAU20201015
PAU203012PAU203015
PAU20301012PAU20301015
PAU204012PAU204015
PAU20401012PAU20401015
PAUS01012
PAUS01015
PAUS0101012
PAUS0101015
PAU103 PAU10103PAU1010103PAU10203
PAU19309 PAU1930109PAU193010109PAU1930209
PAU203 PAU20103PAU2010103PAU20203
PAU19308 PAU1930108PAU193010108PAU1930208
PAU303 PAU30103PAU3010103PAU30203
PAU19307 PAU1930107PAU193010107PAU1930207
PAU403 PAU40103PAU4010103PAU40203
PAU19306 PAU1930106PAU193010106PAU1930206
PAU503 PAU50103PAU5010103PAU50203
PAU19305 PAU1930105PAU193010105PAU1930205
PAU603 PAU60103PAU6010103PAU60203
PAU19304 PAU1930104PAU193010104PAU1930204
PAU703 PAU70103PAU7010103PAU70203
PAU19303 PAU1930103PAU193010103PAU1930203
PAU803 PAU80103PAU8010103PAU80203
PAU19302 PAU1930102PAU193010102PAU1930202
PAU903 PAU90103PAU9010103PAU90203
PAU193023 PAU19301023PAU1930101023PAU19302023
PAU1003 PAU100103PAU10010103PAU100203
PAU193022 PAU19301022PAU1930101022PAU19302022
PAU1103 PAU110103PAU11010103PAU110203
PAU193021 PAU19301021PAU1930101021PAU19302021
PAU1203 PAU120103PAU12010103PAU120203
PAU193020 PAU19301020PAU1930101020PAU19302020
PAU1303 PAU130103PAU13010103PAU130203
PAU193019 PAU19301019PAU1930101019PAU19302019
PAU1403 PAU140103PAU14010103PAU140203
PAU193018 PAU19301018PAU1930101018PAU19302018
PAU1503 PAU150103PAU15010103PAU150203
PAU193017 PAU19301017PAU1930101017PAU19302017
PAU1603 PAU160103PAU16010103PAU160203
PAU193016 PAU19301016PAU1930101016PAU19302016
PAU1703 PAU170103PAU17010103PAU170203
PAU19409 PAU1940109PAU194010109PAU1940209
PAU1803 PAU180103PAU18010103PAU180203
PAU19408 PAU1940108PAU194010108PAU1940208
PAU1903 PAU190103PAU19010103PAU190203
PAU19407 PAU1940107PAU194010107PAU1940207
PAU2003 PAU200103PAU20010103PAU200203
PAU19406 PAU1940106PAU194010106PAU1940206
PAU2103 PAU210103PAU21010103PAU210203
PAU19405 PAU1940105PAU194010105PAU1940205
PAU2203 PAU220103PAU22010103PAU220203
PAU19404 PAU1940104PAU194010104PAU1940204
PAU2303 PAU230103PAU23010103PAU230203
PAU19403 PAU1940103PAU194010103PAU1940203
PAU2403 PAU240103PAU24010103PAU240203
PAU19402 PAU1940102PAU194010102PAU1940202
PAU2503 PAU250103PAU25010103PAU250203
PAU194023 PAU19401023PAU1940101023PAU19402023
PAU2603 PAU260103PAU26010103PAU260203
PAU194022 PAU19401022PAU1940101022PAU19402022
PAU2703 PAU270103PAU27010103PAU270203
PAU194021 PAU19401021PAU1940101021PAU19402021
PAU2803 PAU280103PAU28010103PAU280203
PAU194020 PAU19401020PAU1940101020PAU19402020
PAU2903 PAU290103PAU29010103PAU290203
PAU194019 PAU19401019PAU1940101019PAU19402019
PAU3003 PAU300103PAU30010103PAU300203
PAU194018 PAU19401018PAU1940101018PAU19402018
PAU3103 PAU310103PAU31010103PAU310203
PAU194017 PAU19401017PAU1940101017PAU19402017
PAU3203 PAU320103PAU32010103PAU320203
PAU194016 PAU19401016PAU1940101016PAU19402016
PADesignator102
PAUS01010
PAUS0101010
PADesignator103
PAUS01011
PAUS0101011
PADesignator104
PAUS01014
PAUS0101014
PADesignator105
PAUS01013
PAUS0101013
PADesignator1015
PAUS0101
PADesignator1016
PAUS010101
PADesignator106
PAU193010 PAU19301010PAU1930101010PAU19302010
PAU194010 PAU19401010PAU1940101010PAU19402010 PAU196010 PAU19601010PAU1960101010PAU19602010 PAU198010PAU19801010
PAU199010PAU19901010
PAU200010PAU20001010
PAU201010PAU20101010
PAU202010PAU20201010 PAU204010PAU20401010
PADesignator107
PAU193011 PAU19301011PAU1930101011PAU19302011
PAU194011 PAU19401011PAU1940101011PAU19402011 PAU196011 PAU19601011PAU1960101011PAU19602011 PAU198011PAU19801011 PAU200011PAU20001011 PAU204011PAU20401011
PADesignator108
PAU193014 PAU19301014PAU1930101014PAU19302014
PAU194014 PAU19401014PAU1940101014PAU19402014
PAU203014PAU20301014
PAU204014PAU20401014
PADesignator109
PAU193013 PAU19301013PAU1930101013PAU19302013
PAU194013 PAU19401013PAU1940101013PAU19402013 PAU196013 PAU19601013PAU1960101013PAU19602013
PAU203013PAU20301013
PAU204013PAU20401013
PADesignator1014
PAU101 PAU10101PAU1010101PAU10201
PAU201 PAU20101PAU2010101PAU20201
PAU301 PAU30101PAU3010101PAU30201
PAU401 PAU40101PAU4010101PAU40201
PAU501 PAU50101PAU5010101PAU50201
PAU601 PAU60101PAU6010101PAU60201
PAU701 PAU70101PAU7010101PAU70201
PAU801 PAU80101PAU8010101PAU80201
PAU901 PAU90101PAU9010101PAU90201
PAU1001 PAU100101PAU10010101PAU100201
PAU1101 PAU110101PAU11010101PAU110201
PAU1201 PAU120101PAU12010101PAU120201
PAU1301 PAU130101PAU13010101PAU130201
PAU1401 PAU140101PAU14010101PAU140201
PAU1501 PAU150101PAU15010101PAU150201
PAU1601 PAU160101PAU16010101PAU160201
PAU1701 PAU170101PAU17010101PAU170201
PAU1801 PAU180101PAU18010101PAU180201
PAU1901 PAU190101PAU19010101PAU190201
PAU2001 PAU200101PAU20010101PAU200201
PAU2101 PAU210101PAU21010101PAU210201
PAU2201 PAU220101PAU22010101PAU220201
PAU2301 PAU230101PAU23010101PAU230201
PAU2401 PAU240101PAU24010101PAU240201
PAU2501 PAU250101PAU25010101PAU250201
PAU2601 PAU260101PAU26010101PAU260201
PAU2701 PAU270101PAU27010101PAU270201
PAU2801 PAU280101PAU28010101PAU280201
PAU2901 PAU290101PAU29010101PAU290201
PAU3001 PAU300101PAU30010101PAU300201
PAU3101 PAU310101PAU31010101PAU310201
PAU3201 PAU320101PAU32010101PAU320201
PAU3301 PAU330101PAU33010101PAU330201
PAU3401 PAU340101PAU34010101PAU340201
PAU3501 PAU350101PAU35010101PAU350201
PAU3601 PAU360101PAU36010101PAU360201
PAU3701 PAU370101PAU37010101PAU370201
PAU3801 PAU380101PAU38010101PAU380201
PAU3901 PAU390101PAU39010101PAU390201
PAU4001 PAU400101PAU40010101PAU400201
PAU4101 PAU410101PAU41010101PAU410201
PAU4201 PAU420101PAU42010101PAU420201
PAU4301 PAU430101PAU43010101PAU430201
PAU4401 PAU440101PAU44010101PAU440201
PAU4501 PAU450101PAU45010101PAU450201
PAU4601 PAU460101PAU46010101PAU460201
PAU4701 PAU470101PAU47010101PAU470201
PAU4801 PAU480101PAU48010101PAU480201
PAU4901 PAU490101PAU49010101PAU490201
PAU5001 PAU500101PAU50010101PAU500201
PAU5101 PAU510101PAU51010101PAU510201
PAU5201 PAU520101PAU52010101PAU520201
PAU5301 PAU530101PAU53010101PAU530201
PAU5401 PAU540101PAU54010101PAU540201
PAU5501 PAU550101PAU55010101PAU550201
PAU5601 PAU560101PAU56010101PAU560201
PAU5701 PAU570101PAU57010101PAU570201
PAU5801 PAU580101PAU58010101PAU580201
PAU5901 PAU590101PAU59010101PAU590201
PAU6001 PAU600101PAU60010101PAU600201
PAU6101 PAU610101PAU61010101PAU610201
PAU6201 PAU620101PAU62010101PAU620201
PAU6301 PAU630101PAU63010101PAU630201
PAU6401 PAU640101PAU64010101PAU640201
PAU6501PAU650101
PAU6601PAU660101
PAU6701PAU670101
PAU6801PAU680101
PAU6901PAU690101
PAU7001PAU700101
PAU7101PAU710101
PAU7201PAU720101
PAU7301PAU730101
PAU7401PAU740101
PAU7501PAU750101
PAU7601PAU760101
PAU7701PAU770101
PAU7801PAU780101
PAU7901PAU790101
PAU8001PAU800101
PAU8101PAU810101
PAU8201PAU820101
PAU8301PAU830101
PAU8401PAU840101
PAU8501PAU850101
PAU8601PAU860101
PAU8701PAU870101
PAU8801PAU880101
PAU8901PAU890101
PAU9001PAU900101
PAU9101PAU910101
PAU9201PAU920101
PAU9301PAU930101
PAU9401PAU940101
PAU9501PAU950101
PAU9601PAU960101
PAU9701PAU970101
PAU9801PAU980101
PAU9901PAU990101
PAU10001PAU1000101PAU1020101
PAU10301PAU1030101
PAU10401PAU1040101
PAU10501PAU1050101
PAU10601PAU1060101
PAU10701PAU1070101
PAU10801PAU1080101
PAU10901PAU1090101
PAU11001PAU1100101
PAU11101PAU1110101
PAU11201PAU1120101
PAU11301PAU1130101
PAU11401PAU1140101
PAU11501PAU1150101
PAU11601PAU1160101
PAU11701PAU1170101
PAU11801PAU1180101
PAU11901PAU1190101
PAU12001PAU1200101
PAU12101PAU1210101
PAU12201PAU1220101
PAU12301PAU1230101
PAU12401PAU1240101
PAU12501PAU1250101
PAU12601PAU1260101
PAU12701PAU1270101
PAU12801PAU1280101
PAU12901PAU1290101
PAU13001PAU1300101
PAU13101PAU1310101
PAU13201PAU1320101
PAU13301PAU1330101
PAU13401PAU1340101
PAU13501PAU1350101
PAU13601PAU1360101
PAU13701PAU1370101
PAU13801PAU1380101
PAU13901PAU1390101
PAU14001PAU1400101
PAU14101PAU1410101
PAU14201PAU1420101
PAU14301PAU1430101
PAU14401PAU1440101
PAU14501PAU1450101
PAU14601PAU1460101
PAU14701PAU1470101
PAU14801PAU1480101
PAU14901PAU1490101
PAU15001PAU1500101
PAU15101PAU1510101
PAU15201PAU1520101
PAU15301PAU1530101
PAU15401PAU1540101
PAU15501PAU1550101
PAU15601PAU1560101
PAU15701PAU1570101
PAU15801PAU1580101
PAU15901PAU1590101
PAU16001PAU1600101
PAU16101PAU1610101
PAU16201PAU1620101
PAU16301PAU1630101
PAU16401PAU1640101
PAU16501PAU1650101
PAU16601PAU1660101
PAU16701PAU1670101
PAU16801PAU1680101
PAU16901PAU1690101
PAU17001PAU1700101
PAU17101PAU1710101
PAU17201PAU1720101
PAU17301PAU1730101
PAU17401PAU1740101
PAU17501PAU1750101
PAU17601PAU1760101
PAU17701PAU1770101
PAU17801PAU1780101
PAU17901PAU1790101
PAU18001PAU1800101
PAU18101PAU1810101
PAU18201PAU1820101
PAU18301PAU1830101
PAU18401PAU1840101
PAU18501PAU1850101
PAU18601PAU1860101
PAU18701PAU1870101
PAU18801PAU1880101
PAU18901PAU1890101
PAU19001PAU1900101
PAU19101PAU1910101
PAU19201PAU1920101
PAU193024 PAU19301024PAU1930101024PAU19302024
PAU194024 PAU19401024PAU1940101024PAU19402024
PAU195024 PAU19501024PAU1950101024PAU19502024
PAU196024 PAU19601024PAU1960101024PAU19602024
PAU197024PAU19701024
PAU198024PAU19801024
PAU199024PAU19901024
PAU200024PAU20001024
PAU201024PAU20101024
PAU202024PAU20201024
PAU203024PAU20301024
PAU204024PAU20401024
PAUS01024
PAUS0101024
PAU1930101PAU193010101
PAUS0109
PAUS010109
PAU1940101PAU194010101
PAUS0108
PAUS010108
PAU1950101PAU195010101
PAUS0107
PAUS010107
PAUS0106
PAUS010106
PAU19301PAU1930201
PAUS0105
PAUS010105
PAU19401PAU1940201
PAUS0104
PAUS010104
PAU19501PAU1950201
PAUS0103
PAUS010103
PAU19601PAU1960201
PAUS0102
PAUS010102
PAU19701PAU1970101
PAUS01023
PAUS0101023
PAU19801PAU1980101
PAUS01022
PAUS0101022
PAU19901PAU1990101
PAUS01021
PAUS0101021
PAU20001PAU2000101
PAUS01020
PAUS0101020
PAU20101PAU2010101
PAUS01019
PAUS0101019
PAU20201PAU2020101
PAUS01018
PAUS0101018
PAU20301PAU2030101
PAUS01017
PAUS0101017
PAU20401PAU2040101
PAUS01016
PAUS0101016
FREE License the schematic layout of the GaussSense PCB board
for Individual and Educational use from Today!Attachable
Hall-Sensor Grid
GaussSense
[Liang et al. UIST’12]
PADesignator1016PADesignator1015
PADesignator1014
PADesignator106PADesignator107PADesignator108PADesignator109
PADesignator101PADesignator102PADesignator103PADesignator104PADesignator105
CODesignator1PAU103PAU102 PAU101COU1
PAU10103PAU10102 PAU10101COU101
PAU1010103PAU1010102 PAU1010101COU10101
PAU10203PAU10202 PAU10201COU102
PAU203PAU202 PAU201COU2
PAU20103PAU20102 PAU20101COU201
PAU2010103PAU2010102 PAU2010101COU20101
PAU20203PAU20202 PAU20201COU202
PAU303PAU302 PAU301COU3
PAU30103PAU30102 PAU30101COU301
PAU3010103PAU3010102 PAU3010101COU30101
PAU30203PAU30202 PAU30201COU302
PAU403PAU402 PAU401COU4
PAU40103PAU40102 PAU40101COU401
PAU4010103PAU4010102 PAU4010101COU40101
PAU40203PAU40202 PAU40201COU402
PAU503PAU502 PAU501COU5
PAU50103PAU50102 PAU50101COU501
PAU5010103PAU5010102 PAU5010101COU50101
PAU50203PAU50202 PAU50201COU502
PAU603PAU602 PAU601COU6
PAU60103PAU60102 PAU60101COU601
PAU6010103PAU6010102 PAU6010101COU60101
PAU60203PAU60202 PAU60201COU602
PAU703PAU702 PAU701COU7
PAU70103PAU70102 PAU70101COU701
PAU7010103PAU7010102 PAU7010101COU70101
PAU70203PAU70202 PAU70201COU702
PAU803PAU802 PAU801COU8
PAU80103PAU80102 PAU80101COU801
PAU8010103PAU8010102 PAU8010101COU80101
PAU80203PAU80202 PAU80201COU802
PAU903PAU902 PAU901COU9
PAU90103PAU90102 PAU90101COU901
PAU9010103PAU9010102 PAU9010101COU90101
PAU90203PAU90202 PAU90201COU902
PAU1003PAU1002 PAU1001COU10
PAU100103PAU100102 PAU100101COU1001
PAU10010103PAU10010102 PAU10010101COU100101
PAU100203PAU100202 PAU100201COU1002
PAU1103PAU1102 PAU1101COU11
PAU110103PAU110102 PAU110101COU1101
PAU11010103PAU11010102 PAU11010101COU110101
PAU110203PAU110202 PAU110201COU1102
PAU1203PAU1202 PAU1201COU12
PAU120103PAU120102 PAU120101COU1201
PAU12010103PAU12010102 PAU12010101COU120101
PAU120203PAU120202 PAU120201COU1202
PAU1303PAU1302 PAU1301COU13
PAU130103PAU130102 PAU130101COU1301
PAU13010103PAU13010102 PAU13010101COU130101
PAU130203PAU130202 PAU130201COU1302
PAU1403PAU1402 PAU1401COU14
PAU140103PAU140102 PAU140101COU1401
PAU14010103PAU14010102 PAU14010101COU140101
PAU140203PAU140202 PAU140201COU1402
PAU1503PAU1502 PAU1501COU15
PAU150103PAU150102 PAU150101COU1501
PAU15010103PAU15010102 PAU15010101COU150101
PAU150203PAU150202 PAU150201COU1502
PAU1601
PAU1602
PAU1603
COU16
PAU160101
PAU160102
PAU160103
COU1601
PAU16010101
PAU16010102
PAU16010103
COU160101
PAU160201
PAU160202
PAU160203
COU1602
PAU1703PAU1702 PAU1701 COU17
PAU170103PAU170102 PAU170101 COU1701
PAU17010103PAU17010102 PAU17010101 COU170101
PAU170203PAU170202 PAU170201 COU1702
PAU1803PAU1802 PAU1801 COU18
PAU180103PAU180102 PAU180101 COU1801
PAU18010103PAU18010102 PAU18010101 COU180101
PAU180203PAU180202 PAU180201 COU1802
PAU1903PAU1902 PAU1901 COU19
PAU190103PAU190102 PAU190101 COU1901
PAU19010103PAU19010102 PAU19010101 COU190101
PAU190203PAU190202 PAU190201 COU1902
PAU2003PAU2002 PAU2001 COU20
PAU200103PAU200102 PAU200101 COU2001
PAU20010103PAU20010102 PAU20010101 COU200101
PAU200203PAU200202 PAU200201 COU2002
PAU2103PAU2102 PAU2101 COU21
PAU210103PAU210102 PAU210101 COU2101
PAU21010103PAU21010102 PAU21010101 COU210101
PAU210203PAU210202 PAU210201 COU2102
PAU2203PAU2202 PAU2201 COU22
PAU220103PAU220102 PAU220101 COU2201
PAU22010103PAU22010102 PAU22010101 COU220101
PAU220203PAU220202 PAU220201 COU2202
PAU2303PAU2302 PAU2301 COU23
PAU230103PAU230102 PAU230101 COU2301
PAU23010103PAU23010102 PAU23010101 COU230101
PAU230203PAU230202 PAU230201 COU2302
PAU2403PAU2402 PAU2401 COU24
PAU240103PAU240102 PAU240101 COU2401
PAU24010103PAU24010102 PAU24010101 COU240101
PAU240203PAU240202 PAU240201 COU2402
PAU2503PAU2502 PAU2501 COU25
PAU250103PAU250102 PAU250101 COU2501
PAU25010103PAU25010102 PAU25010101 COU250101
PAU250203PAU250202 PAU250201 COU2502
PAU2603PAU2602 PAU2601 COU26
PAU260103PAU260102 PAU260101 COU2601
PAU26010103PAU26010102 PAU26010101 COU260101
PAU260203PAU260202 PAU260201 COU2602
PAU2703PAU2702 PAU2701 COU27
PAU270103PAU270102 PAU270101 COU2701
PAU27010103PAU27010102 PAU27010101 COU270101
PAU270203PAU270202 PAU270201 COU2702
PAU2803PAU2802 PAU2801 COU28
PAU280103PAU280102 PAU280101 COU2801
PAU28010103PAU28010102 PAU28010101 COU280101
PAU280203PAU280202 PAU280201 COU2802
PAU2903PAU2902 PAU2901 COU29
PAU290103PAU290102 PAU290101 COU2901
PAU29010103PAU29010102 PAU29010101 COU290101
PAU290203PAU290202 PAU290201 COU2902
PAU3003PAU3002 PAU3001 COU30
PAU300103PAU300102 PAU300101 COU3001
PAU30010103PAU30010102 PAU30010101 COU300101
PAU300203PAU300202 PAU300201 COU3002
PAU3103PAU3102 PAU3101 COU31
PAU310103PAU310102 PAU310101 COU3101
PAU31010103PAU31010102 PAU31010101 COU310101
PAU310203PAU310202 PAU310201 COU3102
PAU3201
PAU3202
PAU3203COU32
PAU320101
PAU320102
PAU320103COU3201
PAU32010101
PAU32010102
PAU32010103COU320101
PAU320201PAU320202
PAU320203COU3202
PAU3303PAU3302 PAU3301COU33
PAU330103PAU330102 PAU330101COU3301
PAU33010103PAU33010102 PAU33010101COU330101
PAU330203PAU330202 PAU330201COU3302
PAU3403PAU3402 PAU3401COU34
PAU340103PAU340102 PAU340101COU3401
PAU34010103PAU34010102 PAU34010101COU340101
PAU340203PAU340202 PAU340201COU3402
PAU3503PAU3502 PAU3501COU35
PAU350103PAU350102 PAU350101COU3501
PAU35010103PAU35010102 PAU35010101COU350101
PAU350203PAU350202 PAU350201COU3502
PAU3603PAU3602 PAU3601COU36
PAU360103PAU360102 PAU360101COU3601
PAU36010103PAU36010102 PAU36010101COU360101
PAU360203PAU360202 PAU360201COU3602
PAU3703PAU3702 PAU3701COU37
PAU370103PAU370102 PAU370101COU3701
PAU37010103PAU37010102 PAU37010101COU370101
PAU370203PAU370202 PAU370201COU3702
PAU3803PAU3802 PAU3801COU38
PAU380103PAU380102 PAU380101COU3801
PAU38010103PAU38010102 PAU38010101COU380101
PAU380203PAU380202 PAU380201COU3802
PAU3903PAU3902 PAU3901COU39
PAU390103PAU390102 PAU390101COU3901
PAU39010103PAU39010102 PAU39010101COU390101
PAU390203PAU390202 PAU390201COU3902
PAU4003PAU4002 PAU4001COU40
PAU400103PAU400102 PAU400101COU4001
PAU40010103PAU40010102 PAU40010101COU400101
PAU400203PAU400202 PAU400201COU4002
PAU4103PAU4102 PAU4101COU41
PAU410103PAU410102 PAU410101COU4101
PAU41010103PAU41010102 PAU41010101COU410101
PAU410203PAU410202 PAU410201COU4102
PAU4203PAU4202 PAU4201COU42
PAU420103PAU420102 PAU420101COU4201
PAU42010103PAU42010102 PAU42010101COU420101
PAU420203PAU420202 PAU420201COU4202
PAU4303PAU4302 PAU4301COU43
PAU430103PAU430102 PAU430101COU4301
PAU43010103PAU43010102 PAU43010101COU430101
PAU430203PAU430202 PAU430201COU4302
PAU4403PAU4402 PAU4401COU44
PAU440103PAU440102 PAU440101COU4401
PAU44010103PAU44010102 PAU44010101COU440101
PAU440203PAU440202 PAU440201COU4402
PAU4503PAU4502 PAU4501COU45
PAU450103PAU450102 PAU450101COU4501
PAU45010103PAU45010102 PAU45010101COU450101
PAU450203PAU450202 PAU450201COU4502
PAU4603PAU4602 PAU4601COU46
PAU460103PAU460102 PAU460101COU4601
PAU46010103PAU46010102 PAU46010101COU460101
PAU460203PAU460202 PAU460201COU4602
PAU4703PAU4702 PAU4701COU47
PAU470103PAU470102 PAU470101COU4701
PAU47010103PAU47010102 PAU47010101COU470101
PAU470203PAU470202 PAU470201COU4702
PAU4801
PAU4802
PAU4803
COU48
PAU480101
PAU480102
PAU480103
COU4801
PAU48010101
PAU48010102
PAU48010103
COU480101
PAU480201
PAU480202
PAU480203
COU4802
PAU4903PAU4902 PAU4901 COU49
PAU490103PAU490102 PAU490101 COU4901
PAU49010103PAU49010102 PAU49010101 COU490101
PAU490203PAU490202 PAU490201 COU4902
PAU5003PAU5002 PAU5001 COU50
PAU500103PAU500102 PAU500101 COU5001
PAU50010103PAU50010102 PAU50010101 COU500101
PAU500203PAU500202 PAU500201 COU5002
PAU5103PAU5102 PAU5101 COU51
PAU510103PAU510102 PAU510101 COU5101
PAU51010103PAU51010102 PAU51010101 COU510101
PAU510203PAU510202 PAU510201 COU5102
PAU5203PAU5202 PAU5201 COU52
PAU520103PAU520102 PAU520101 COU5201
PAU52010103PAU52010102 PAU52010101 COU520101
PAU520203PAU520202 PAU520201 COU5202
PAU5303PAU5302 PAU5301 COU53
PAU530103PAU530102 PAU530101 COU5301
PAU53010103PAU53010102 PAU53010101 COU530101
PAU530203PAU530202 PAU530201 COU5302
PAU5403PAU5402 PAU5401 COU54
PAU540103PAU540102 PAU540101 COU5401
PAU54010103PAU54010102 PAU54010101 COU540101
PAU540203PAU540202 PAU540201 COU5402
PAU5503PAU5502 PAU5501 COU55
PAU550103PAU550102 PAU550101 COU5501
PAU55010103PAU55010102 PAU55010101 COU550101
PAU550203PAU550202 PAU550201 COU5502
PAU5603PAU5602 PAU5601 COU56
PAU560103PAU560102 PAU560101 COU5601
PAU56010103PAU56010102 PAU56010101 COU560101
PAU560203PAU560202 PAU560201 COU5602
PAU5703PAU5702 PAU5701 COU57
PAU570103PAU570102 PAU570101 COU5701
PAU57010103PAU57010102 PAU57010101 COU570101
PAU570203PAU570202 PAU570201 COU5702
PAU5803PAU5802 PAU5801 COU58
PAU580103PAU580102 PAU580101 COU5801
PAU58010103PAU58010102 PAU58010101 COU580101
PAU580203PAU580202 PAU580201 COU5802
PAU5903PAU5902 PAU5901 COU59
PAU590103PAU590102 PAU590101 COU5901
PAU59010103PAU59010102 PAU59010101 COU590101
PAU590203PAU590202 PAU590201 COU5902
PAU6003PAU6002 PAU6001 COU60
PAU600103PAU600102 PAU600101 COU6001
PAU60010103PAU60010102 PAU60010101 COU600101
PAU600203PAU600202 PAU600201 COU6002
PAU6103PAU6102 PAU6101 COU61
PAU610103PAU610102 PAU610101 COU6101
PAU61010103PAU61010102 PAU61010101 COU610101
PAU610203PAU610202 PAU610201 COU6102
PAU6203PAU6202 PAU6201 COU62
PAU620103PAU620102 PAU620101 COU6201
PAU62010103PAU62010102 PAU62010101 COU620101
PAU620203PAU620202 PAU620201 COU6202
PAU6303PAU6302 PAU6301 COU63
PAU630103PAU630102 PAU630101 COU6301
PAU63010103PAU63010102 PAU63010101 COU630101
PAU630203PAU630202 PAU630201 COU6302
PAU6401
PAU6402
PAU6403COU64
PAU640101
PAU640102
PAU640103COU6401
PAU64010101
PAU64010102
PAU64010103COU640101
PAU640201PAU640202
PAU640203COU6402
PAU6503PAU6502 PAU6501COU65
PAU650103PAU650102 PAU650101COU6501
PAU6603PAU6602 PAU6601COU66
PAU660103PAU660102 PAU660101COU6601
PAU6703PAU6702 PAU6701COU67
PAU670103PAU670102 PAU670101COU6701
PAU6803PAU6802 PAU6801COU68
PAU680103PAU680102 PAU680101COU6801
PAU6903PAU6902 PAU6901COU69
PAU690103PAU690102 PAU690101COU6901
PAU7003PAU7002 PAU7001COU70
PAU700103PAU700102 PAU700101COU7001
PAU7103PAU7102 PAU7101COU71
PAU710103PAU710102 PAU710101COU7101
PAU7203PAU7202 PAU7201COU72
PAU720103PAU720102 PAU720101COU7201
PAU7303PAU7302 PAU7301COU73
PAU730103PAU730102 PAU730101COU7301
PAU7403PAU7402 PAU7401COU74
PAU740103PAU740102 PAU740101COU7401
PAU7503PAU7502 PAU7501COU75
PAU750103PAU750102 PAU750101COU7501
PAU7603PAU7602 PAU7601COU76
PAU760103PAU760102 PAU760101COU7601
PAU7703PAU7702 PAU7701COU77
PAU770103PAU770102 PAU770101COU7701
PAU7803PAU7802 PAU7801COU78
PAU780103PAU780102 PAU780101COU7801
PAU7903PAU7902 PAU7901COU79
PAU790103PAU790102 PAU790101COU7901
PAU8001
PAU8002
PAU8003COU80
PAU800101
PAU800102
PAU800103
COU8001
PAU8103PAU8102 PAU8101 COU81
PAU810103PAU810102 PAU810101 COU8101
PAU8203PAU8202 PAU8201 COU82
PAU820103PAU820102 PAU820101 COU8201
PAU8303PAU8302 PAU8301 COU83
PAU830103PAU830102 PAU830101 COU8301
PAU8403PAU8402 PAU8401 COU84
PAU840103PAU840102 PAU840101 COU8401
PAU8503PAU8502 PAU8501 COU85
PAU850103PAU850102 PAU850101 COU8501
PAU8603PAU8602 PAU8601 COU86
PAU860103PAU860102 PAU860101 COU8601
PAU8703PAU8702 PAU8701 COU87
PAU870103PAU870102 PAU870101 COU8701
PAU8803PAU8802 PAU8801 COU88
PAU880103PAU880102 PAU880101 COU8801
PAU8903PAU8902 PAU8901 COU89
PAU890103PAU890102 PAU890101 COU8901
PAU9003PAU9002 PAU9001 COU90
PAU900103PAU900102 PAU900101 COU9001
PAU9103PAU9102 PAU9101 COU91
PAU910103PAU910102 PAU910101 COU9101
PAU9203PAU9202 PAU9201 COU92
PAU920103PAU920102 PAU920101 COU9201
PAU9303PAU9302 PAU9301 COU93
PAU930103PAU930102 PAU930101 COU9301
PAU9403PAU9402 PAU9401 COU94
PAU940103PAU940102 PAU940101 COU9401
PAU9503PAU9502 PAU9501 COU95
PAU950103PAU950102 PAU950101 COU9501
PAU9601
PAU9602
PAU9603COU96
PAU960101
PAU960102
PAU960103COU9601
PAU9703PAU9702 PAU9701COU97
PAU970103PAU970102 PAU970101COU9701
PAU9803PAU9802 PAU9801COU98
PAU980103PAU980102 PAU980101COU9801
PAU9903PAU9902 PAU9901COU99
PAU990103PAU990102 PAU990101COU9901
PAU10003PAU10002 PAU10001COU100
PAU1000103PAU1000102 PAU1000101COU10001
PAU10103PAU10102 PAU10101
PAU1010103PAU1010102 PAU1010101
PAU10203PAU10202 PAU10201
PAU1020103PAU1020102 PAU1020101COU10201
PAU10303PAU10302 PAU10301COU103
PAU1030103PAU1030102 PAU1030101COU10301
PAU10403PAU10402 PAU10401COU104
PAU1040103PAU1040102 PAU1040101COU10401
PAU10503PAU10502 PAU10501COU105
PAU1050103PAU1050102 PAU1050101COU10501
PAU10603PAU10602 PAU10601COU106
PAU1060103PAU1060102 PAU1060101COU10601
PAU10703PAU10702 PAU10701COU107
PAU1070103PAU1070102 PAU1070101COU10701
PAU10803PAU10802 PAU10801COU108
PAU1080103PAU1080102 PAU1080101COU10801
PAU10903PAU10902 PAU10901COU109
PAU1090103PAU1090102 PAU1090101COU10901
PAU11003PAU11002 PAU11001COU110
PAU1100103PAU1100102 PAU1100101COU11001
PAU11103PAU11102 PAU11101COU111
PAU1110103PAU1110102 PAU1110101COU11101
PAU11201
PAU11202
PAU11203
COU112
PAU1120101
PAU1120102
PAU1120103
COU11201
PAU11303PAU11302 PAU11301 COU113
PAU1130103PAU1130102 PAU1130101 COU11301
PAU11403PAU11402 PAU11401 COU114
PAU1140103PAU1140102 PAU1140101 COU11401
PAU11503PAU11502 PAU11501 COU115
PAU1150103PAU1150102 PAU1150101 COU11501
PAU11603PAU11602 PAU11601 COU116
PAU1160103PAU1160102 PAU1160101 COU11601
PAU11703PAU11702 PAU11701 COU117
PAU1170103PAU1170102 PAU1170101 COU11701
PAU11803PAU11802 PAU11801 COU118
PAU1180103PAU1180102 PAU1180101 COU11801
PAU11903PAU11902 PAU11901 COU119
PAU1190103PAU1190102 PAU1190101 COU11901
PAU12003PAU12002 PAU12001 COU120
PAU1200103PAU1200102 PAU1200101 COU12001
PAU12103PAU12102 PAU12101 COU121
PAU1210103PAU1210102 PAU1210101 COU12101
PAU12203PAU12202 PAU12201 COU122
PAU1220103PAU1220102 PAU1220101 COU12201
PAU12303PAU12302 PAU12301 COU123
PAU1230103PAU1230102 PAU1230101 COU12301
PAU12403PAU12402 PAU12401 COU124
PAU1240103PAU1240102 PAU1240101 COU12401
PAU12503PAU12502 PAU12501 COU125
PAU1250103PAU1250102 PAU1250101 COU12501
PAU12603PAU12602 PAU12601 COU126
PAU1260103PAU1260102 PAU1260101 COU12601
PAU12703PAU12702 PAU12701 COU127
PAU1270103PAU1270102 PAU1270101 COU12701
PAU12801
PAU12802
PAU12803COU128
PAU1280101
PAU1280102
PAU1280103COU12801
PAU12903PAU12902 PAU12901
COU129
PAU1290103PAU1290102 PAU1290101COU12901
PAU13003PAU13002 PAU13001COU130
PAU1300103PAU1300102 PAU1300101COU13001
PAU13103PAU13102 PAU13101COU131
PAU1310103PAU1310102 PAU1310101COU13101
PAU13203PAU13202 PAU13201COU132
PAU1320103PAU1320102 PAU1320101COU13201
PAU13303PAU13302 PAU13301COU133
PAU1330103PAU1330102 PAU1330101COU13301
PAU13403PAU13402 PAU13401COU134
PAU1340103PAU1340102 PAU1340101COU13401
PAU13503PAU13502 PAU13501COU135
PAU1350103PAU1350102 PAU1350101COU13501
PAU13603PAU13602 PAU13601COU136
PAU1360103PAU1360102 PAU1360101COU13601
PAU13703PAU13702 PAU13701COU137
PAU1370103PAU1370102 PAU1370101COU13701
PAU13803PAU13802 PAU13801COU138
PAU1380103PAU1380102 PAU1380101COU13801
PAU13903PAU13902 PAU13901COU139
PAU1390103PAU1390102 PAU1390101COU13901
PAU14003PAU14002 PAU14001COU140
PAU1400103PAU1400102 PAU1400101COU14001
PAU14103PAU14102 PAU14101COU141
PAU1410103PAU1410102 PAU1410101COU14101
PAU14203PAU14202 PAU14201COU142
PAU1420103PAU1420102 PAU1420101COU14201
PAU14303PAU14302 PAU14301COU143
PAU1430103PAU1430102 PAU1430101COU14301
PAU14401
PAU14402
PAU14403
COU144
PAU1440101
PAU1440102
PAU1440103
COU14401
PAU14503PAU14502 PAU14501 COU145
PAU1450103PAU1450102 PAU1450101 COU14501
PAU14603PAU14602 PAU14601 COU146
PAU1460103PAU1460102 PAU1460101 COU14601
PAU14703PAU14702 PAU14701 COU147
PAU1470103PAU1470102 PAU1470101 COU14701
PAU14803PAU14802 PAU14801 COU148
PAU1480103PAU1480102 PAU1480101 COU14801
PAU14903PAU14902 PAU14901 COU149
PAU1490103PAU1490102 PAU1490101 COU14901
PAU15003PAU15002 PAU15001 COU150
PAU1500103PAU1500102 PAU1500101 COU15001
PAU15103PAU15102 PAU15101 COU151
PAU1510103PAU1510102 PAU1510101 COU15101
PAU15203PAU15202 PAU15201 COU152
PAU1520103PAU1520102 PAU1520101 COU15201
PAU15303PAU15302 PAU15301 COU153
PAU1530103PAU1530102 PAU1530101 COU15301
PAU15403PAU15402 PAU15401 COU154
PAU1540103PAU1540102 PAU1540101 COU15401
PAU15503PAU15502 PAU15501 COU155
PAU1550103PAU1550102 PAU1550101 COU15501
PAU15603PAU15602 PAU15601 COU156
PAU1560103PAU1560102 PAU1560101 COU15601
PAU15703PAU15702 PAU15701 COU157
PAU1570103PAU1570102 PAU1570101 COU15701
PAU15803PAU15802 PAU15801 COU158
PAU1580103PAU1580102 PAU1580101 COU15801
PAU15903PAU15902 PAU15901 COU159
PAU1590103PAU1590102 PAU1590101 COU15901
PAU16001
PAU16002
PAU16003COU160
PAU1600101
PAU1600102
PAU1600103COU16001
PAU16103PAU16102 PAU16101COU161
PAU1610103PAU1610102 PAU1610101COU16101
PAU16203PAU16202 PAU16201COU162
PAU1620103PAU1620102 PAU1620101COU16201
PAU16303PAU16302 PAU16301COU163
PAU1630103PAU1630102 PAU1630101COU16301
PAU16403PAU16402 PAU16401COU164
PAU1640103PAU1640102 PAU1640101COU16401
PAU16503PAU16502 PAU16501COU165
PAU1650103PAU1650102 PAU1650101COU16501
PAU16603PAU16602 PAU16601COU166
PAU1660103PAU1660102 PAU1660101COU16601
PAU16703PAU16702 PAU16701COU167
PAU1670103PAU1670102 PAU1670101COU16701
PAU16803PAU16802 PAU16801COU168
PAU1680103PAU1680102 PAU1680101COU16801
PAU16903PAU16902 PAU16901COU169
PAU1690103PAU1690102 PAU1690101COU16901
PAU17003PAU17002 PAU17001COU170
PAU1700103PAU1700102 PAU1700101COU17001
PAU17103PAU17102 PAU17101COU171
PAU1710103PAU1710102 PAU1710101COU17101
PAU17203PAU17202 PAU17201COU172
PAU1720103PAU1720102 PAU1720101COU17201
PAU17303PAU17302 PAU17301COU173
PAU1730103PAU1730102 PAU1730101COU17301
PAU17403PAU17402 PAU17401COU174
PAU1740103PAU1740102 PAU1740101COU17401
PAU17503PAU17502 PAU17501COU175
PAU1750103PAU1750102 PAU1750101COU17501
PAU17601
PAU17602
PAU17603
COU176
PAU1760101
PAU1760102
PAU1760103
COU17601
PAU17703PAU17702 PAU17701 COU177
PAU1770103PAU1770102 PAU1770101 COU17701
PAU17803PAU17802 PAU17801 COU178
PAU1780103PAU1780102 PAU1780101 COU17801
PAU17903PAU17902 PAU17901 COU179
PAU1790103PAU1790102 PAU1790101 COU17901
PAU18003PAU18002 PAU18001 COU180
PAU1800103PAU1800102 PAU1800101 COU18001
PAU18103PAU18102 PAU18101 COU181
PAU1810103PAU1810102 PAU1810101 COU18101
PAU18203PAU18202 PAU18201 COU182
PAU1820103PAU1820102 PAU1820101 COU18201
PAU18303PAU18302 PAU18301 COU183
PAU1830103PAU1830102 PAU1830101 COU18301
PAU18403PAU18402 PAU18401 COU184
PAU1840103PAU1840102 PAU1840101 COU18401
PAU18503PAU18502 PAU18501 COU185
PAU1850103PAU1850102 PAU1850101 COU18501
PAU18603PAU18602 PAU18601 COU186
PAU1860103PAU1860102 PAU1860101 COU18601
PAU18703PAU18702 PAU18701 COU187
PAU1870103PAU1870102 PAU1870101 COU18701
PAU18803PAU18802 PAU18801 COU188
PAU1880103PAU1880102 PAU1880101 COU18801
PAU18903PAU18902 PAU18901 COU189
PAU1890103PAU1890102 PAU1890101 COU18901
PAU19003PAU19002 PAU19001 COU190
PAU1900103PAU1900102 PAU1900101 COU19001
PAU19103PAU19102 PAU19101 COU191
PAU1910103PAU1910102 PAU1910101 COU19101
PAU19201
PAU19202
PAU19203COU192
PAU1920101
PAU1920102
PAU1920103COU19201
PAU193013PAU193014PAU193015PAU193016PAU193017PAU193018PAU193019PAU193020PAU193021PAU193022PAU193023PAU193024
PAU193012PAU193011PAU193010PAU19309PAU19308PAU19307PAU19306PAU19305PAU19304PAU19303PAU19302PAU19301COU193
PAU19301013PAU19301014PAU19301015PAU19301016PAU19301017PAU19301018PAU19301019PAU19301020PAU19301021PAU19301022PAU19301023PAU19301024
PAU19301012PAU19301011PAU19301010PAU1930109PAU1930108PAU1930107PAU1930106PAU1930105PAU1930104PAU1930103PAU1930102PAU1930101COU19301
PAU1930101013PAU1930101014PAU1930101015PAU1930101016PAU1930101017PAU1930101018PAU1930101019PAU1930101020PAU1930101021PAU1930101022PAU1930101023PAU1930101024
PAU1930101012PAU1930101011PAU1930101010PAU193010109PAU193010108PAU193010107PAU193010106PAU193010105PAU193010104PAU193010103PAU193010102PAU193010101COU1930101
PAU19302013PAU19302014PAU19302015PAU19302016PAU19302017PAU19302018PAU19302019PAU19302020PAU19302021PAU19302022PAU19302023PAU19302024
PAU19302012PAU19302011PAU19302010PAU1930209PAU1930208PAU1930207PAU1930206PAU1930205PAU1930204PAU1930203PAU1930202PAU1930201COU19302
PAU19401PAU19402PAU19403PAU19404
PAU19405PAU19406PAU19407PAU19408
PAU19409PAU194010PAU194011PAU194012
PAU194024PAU194023PAU194022PAU194021
PAU194020PAU194019PAU194018PAU194017
PAU194016PAU194015PAU194014PAU194013
COU194
PAU1940101PAU1940102PAU1940103PAU1940104
PAU1940105PAU1940106PAU1940107PAU1940108
PAU1940109PAU19401010PAU19401011PAU19401012
PAU19401024PAU19401023PAU19401022PAU19401021
PAU19401020PAU19401019PAU19401018PAU19401017
PAU19401016PAU19401015PAU19401014PAU19401013
COU19401
PAU194010101PAU194010102PAU194010103PAU194010104
PAU194010105PAU194010106PAU194010107PAU194010108
PAU194010109PAU1940101010PAU1940101011PAU1940101012
PAU1940101024PAU1940101023PAU1940101022PAU1940101021
PAU1940101020PAU1940101019PAU1940101018PAU1940101017
PAU1940101016PAU1940101015PAU1940101014PAU1940101013
COU1940101PAU1940201PAU1940202PAU1940203PAU1940204
PAU1940205PAU1940206PAU1940207PAU1940208
PAU1940209PAU19402010PAU19402011PAU19402012
PAU19402024PAU19402023PAU19402022PAU19402021
PAU19402020PAU19402019PAU19402018PAU19402017
PAU19402016PAU19402015PAU19402014PAU19402013
COU19402
PAU195013PAU195014PAU195015PAU195016PAU195017PAU195018PAU195019PAU195020PAU195021PAU195022PAU195023PAU195024
PAU195012PAU195011PAU195010PAU19509PAU19508PAU19507PAU19506PAU19505PAU19504PAU19503PAU19502PAU19501COU195
PAU19501013PAU19501014PAU19501015PAU19501016PAU19501017PAU19501018PAU19501019PAU19501020PAU19501021PAU19501022PAU19501023PAU19501024
PAU19501012PAU19501011PAU19501010PAU1950109PAU1950108PAU1950107PAU1950106PAU1950105PAU1950104PAU1950103PAU1950102PAU1950101COU19501
PAU1950101013PAU1950101014PAU1950101015PAU1950101016PAU1950101017PAU1950101018PAU1950101019PAU1950101020PAU1950101021PAU1950101022PAU1950101023PAU1950101024
PAU1950101012PAU1950101011PAU1950101010PAU195010109PAU195010108PAU195010107PAU195010106PAU195010105PAU195010104PAU195010103PAU195010102PAU195010101COU1950101
PAU19502013PAU19502014PAU19502015PAU19502016PAU19502017PAU19502018PAU19502019PAU19502020PAU19502021PAU19502022PAU19502023PAU19502024
PAU19502012PAU19502011PAU19502010PAU1950209PAU1950208PAU1950207PAU1950206PAU1950205PAU1950204PAU1950203PAU1950202PAU1950201COU19502
PAU19601PAU19602PAU19603PAU19604
PAU19605PAU19606PAU19607PAU19608
PAU19609PAU196010PAU196011PAU196012
PAU196024PAU196023PAU196022PAU196021
PAU196020PAU196019PAU196018PAU196017
PAU196016PAU196015PAU196014PAU196013
COU196
PAU1960101PAU1960102PAU1960103PAU1960104
PAU1960105PAU1960106PAU1960107PAU1960108
PAU1960109PAU19601010PAU19601011PAU19601012
PAU19601024PAU19601023PAU19601022PAU19601021
PAU19601020PAU19601019PAU19601018PAU19601017
PAU19601016PAU19601015PAU19601014PAU19601013
COU19601PAU196010101PAU196010102PAU196010103PAU196010104
PAU196010105PAU196010106PAU196010107PAU196010108
PAU196010109PAU1960101010PAU1960101011PAU1960101012
PAU1960101024PAU1960101023PAU1960101022PAU1960101021
PAU1960101020PAU1960101019PAU1960101018PAU1960101017
PAU1960101016PAU1960101015PAU1960101014PAU1960101013
COU1960101PAU1960201PAU1960202PAU1960203PAU1960204
PAU1960205PAU1960206PAU1960207PAU1960208
PAU1960209PAU19602010PAU19602011PAU19602012
PAU19602024PAU19602023PAU19602022PAU19602021
PAU19602020PAU19602019PAU19602018PAU19602017
PAU19602016PAU19602015PAU19602014PAU19602013
COU19602
PAU197013PAU197014PAU197015PAU197016PAU197017PAU197018PAU197019PAU197020PAU197021PAU197022PAU197023PAU197024
PAU197012PAU197011PAU197010PAU19709PAU19708PAU19707PAU19706PAU19705PAU19704PAU19703PAU19702PAU19701COU197
PAU19701013PAU19701014PAU19701015PAU19701016PAU19701017PAU19701018PAU19701019PAU19701020PAU19701021PAU19701022PAU19701023PAU19701024
PAU19701012PAU19701011PAU19701010PAU1970109PAU1970108PAU1970107PAU1970106PAU1970105PAU1970104PAU1970103PAU1970102PAU1970101COU19701
PAU19801PAU19802PAU19803PAU19804
PAU19805PAU19806PAU19807PAU19808
PAU19809PAU198010PAU198011PAU198012
PAU198024PAU198023PAU198022PAU198021
PAU198020PAU198019PAU198018PAU198017
PAU198016PAU198015PAU198014PAU198013
COU198
PAU1980101PAU1980102PAU1980103PAU1980104
PAU1980105PAU1980106PAU1980107PAU1980108
PAU1980109PAU19801010PAU19801011PAU19801012
PAU19801024PAU19801023PAU19801022PAU19801021
PAU19801020PAU19801019PAU19801018PAU19801017
PAU19801016PAU19801015PAU19801014PAU19801013
COU19801
PAU199013PAU199014PAU199015PAU199016PAU199017PAU199018PAU199019PAU199020PAU199021PAU199022PAU199023PAU199024
PAU199012PAU199011PAU199010PAU19909PAU19908PAU19907PAU19906PAU19905PAU19904PAU19903PAU19902PAU19901COU199
PAU19901013PAU19901014PAU19901015PAU19901016PAU19901017PAU19901018PAU19901019PAU19901020PAU19901021PAU19901022PAU19901023PAU19901024
PAU19901012PAU19901011PAU19901010PAU1990109PAU1990108PAU1990107PAU1990106PAU1990105PAU1990104PAU1990103PAU1990102PAU1990101COU19901
PAU20001PAU20002PAU20003PAU20004
PAU20005PAU20006PAU20007PAU20008
PAU20009PAU200010PAU200011PAU200012
PAU200024PAU200023PAU200022PAU200021
PAU200020PAU200019PAU200018PAU200017
PAU200016PAU200015PAU200014PAU200013
COU200
PAU2000101PAU2000102PAU2000103PAU2000104
PAU2000105PAU2000106PAU2000107PAU2000108
PAU2000109PAU20001010PAU20001011PAU20001012
PAU20001024PAU20001023PAU20001022PAU20001021
PAU20001020PAU20001019PAU20001018PAU20001017
PAU20001016PAU20001015PAU20001014PAU20001013
COU20001
PAU201013PAU201014PAU201015PAU201016PAU201017PAU201018PAU201019PAU201020PAU201021PAU201022PAU201023PAU201024
PAU201012PAU201011PAU201010PAU20109PAU20108PAU20107PAU20106PAU20105PAU20104PAU20103PAU20102PAU20101
PAU20101013PAU20101014PAU20101015PAU20101016PAU20101017PAU20101018PAU20101019PAU20101020PAU20101021PAU20101022PAU20101023PAU20101024
PAU20101012PAU20101011PAU20101010PAU2010109PAU2010108PAU2010107PAU2010106PAU2010105PAU2010104PAU2010103PAU2010102PAU2010101
PAU20201PAU20202PAU20203PAU20204
PAU20205PAU20206PAU20207PAU20208
PAU20209PAU202010PAU202011PAU202012
PAU202024PAU202023PAU202022PAU202021
PAU202020PAU202019PAU202018PAU202017
PAU202016PAU202015PAU202014PAU202013
PAU2020101PAU2020102PAU2020103PAU2020104
PAU2020105PAU2020106PAU2020107PAU2020108
PAU2020109PAU20201010PAU20201011PAU20201012
PAU20201024PAU20201023PAU20201022PAU20201021
PAU20201020PAU20201019PAU20201018PAU20201017
PAU20201016PAU20201015PAU20201014PAU20201013
COU20201
PAU203013PAU203014PAU203015PAU203016PAU203017PAU203018PAU203019PAU203020PAU203021PAU203022PAU203023PAU203024
PAU203012PAU203011PAU203010PAU20309PAU20308PAU20307PAU20306PAU20305PAU20304PAU20303PAU20302PAU20301COU203
PAU20301013PAU20301014PAU20301015PAU20301016PAU20301017PAU20301018PAU20301019PAU20301020PAU20301021PAU20301022PAU20301023PAU20301024
PAU20301012PAU20301011PAU20301010PAU2030109PAU2030108PAU2030107PAU2030106PAU2030105PAU2030104PAU2030103PAU2030102PAU2030101COU20301
PAU20401PAU20402PAU20403PAU20404
PAU20405PAU20406PAU20407PAU20408
PAU20409PAU204010PAU204011PAU204012
PAU204024PAU204023PAU204022PAU204021
PAU204020PAU204019PAU204018PAU204017
PAU204016PAU204015PAU204014PAU204013
COU204PAU2040101PAU2040102PAU2040103PAU2040104
PAU2040105PAU2040106PAU2040107PAU2040108
PAU2040109PAU20401010PAU20401011PAU20401012
PAU20401024PAU20401023PAU20401022PAU20401021
PAU20401020PAU20401019PAU20401018PAU20401017
PAU20401016PAU20401015PAU20401014PAU20401013
COU20401
PAUS01013PAUS01014PAUS01015PAUS01016
PAUS01017PAUS01018PAUS01019
PAUS01020PAUS01021PAUS01022
PAUS01023PAUS01024
PAUS01012PAUS01011PAUS01010PAUS0109
PAUS0108PAUS0107PAUS0106
PAUS0105PAUS0104PAUS0103
PAUS0102PAUS0101
COUS01
PAUS0101013PAUS0101014
PAUS0101015PAUS0101016PAUS0101017
PAUS0101018PAUS0101019PAUS0101020PAUS0101021PAUS0101022PAUS0101023PAUS0101024
PAUS0101012PAUS0101011
PAUS0101010PAUS010109PAUS010108
PAUS010107PAUS010106PAUS010105PAUS010104PAUS010103PAUS010102PAUS010101
COUS0101 PADesignator101PAU102 PAU10102PAU1010102PAU10202
PAU202 PAU20102PAU2010102PAU20202
PAU302 PAU30102PAU3010102PAU30202
PAU402 PAU40102PAU4010102PAU40202
PAU502 PAU50102PAU5010102PAU50202
PAU602 PAU60102PAU6010102PAU60202
PAU702 PAU70102PAU7010102PAU70202
PAU802 PAU80102PAU8010102PAU80202
PAU902 PAU90102PAU9010102PAU90202
PAU1002 PAU100102PAU10010102PAU100202
PAU1102 PAU110102PAU11010102PAU110202
PAU1202 PAU120102PAU12010102PAU120202
PAU1302 PAU130102PAU13010102PAU130202
PAU1402 PAU140102PAU14010102PAU140202
PAU1502 PAU150102PAU15010102PAU150202
PAU1602 PAU160102PAU16010102PAU160202
PAU1702 PAU170102PAU17010102PAU170202
PAU1802 PAU180102PAU18010102PAU180202
PAU1902 PAU190102PAU19010102PAU190202
PAU2002 PAU200102PAU20010102PAU200202
PAU2102 PAU210102PAU21010102PAU210202
PAU2202 PAU220102PAU22010102PAU220202
PAU2302 PAU230102PAU23010102PAU230202
PAU2402 PAU240102PAU24010102PAU240202
PAU2502 PAU250102PAU25010102PAU250202
PAU2602 PAU260102PAU26010102PAU260202
PAU2702 PAU270102PAU27010102PAU270202
PAU2802 PAU280102PAU28010102PAU280202
PAU2902 PAU290102PAU29010102PAU290202
PAU3002 PAU300102PAU30010102PAU300202
PAU3102 PAU310102PAU31010102PAU310202
PAU3202 PAU320102PAU32010102PAU320202
PAU3302 PAU330102PAU33010102PAU330202
PAU3402 PAU340102PAU34010102PAU340202
PAU3502 PAU350102PAU35010102PAU350202
PAU3602 PAU360102PAU36010102PAU360202
PAU3702 PAU370102PAU37010102PAU370202
PAU3802 PAU380102PAU38010102PAU380202
PAU3902 PAU390102PAU39010102PAU390202
PAU4002 PAU400102PAU40010102PAU400202
PAU4102 PAU410102PAU41010102PAU410202
PAU4202 PAU420102PAU42010102PAU420202
PAU4302 PAU430102PAU43010102PAU430202
PAU4402 PAU440102PAU44010102PAU440202
PAU4502 PAU450102PAU45010102PAU450202
PAU4602 PAU460102PAU46010102PAU460202
PAU4702 PAU470102PAU47010102PAU470202
PAU4802 PAU480102PAU48010102PAU480202
PAU4902 PAU490102PAU49010102PAU490202
PAU5002 PAU500102PAU50010102PAU500202
PAU5102 PAU510102PAU51010102PAU510202
PAU5202 PAU520102PAU52010102PAU520202
PAU5302 PAU530102PAU53010102PAU530202
PAU5402 PAU540102PAU54010102PAU540202
PAU5502 PAU550102PAU55010102PAU550202
PAU5602 PAU560102PAU56010102PAU560202
PAU5702 PAU570102PAU57010102PAU570202
PAU5802 PAU580102PAU58010102PAU580202
PAU5902 PAU590102PAU59010102PAU590202
PAU6002 PAU600102PAU60010102PAU600202
PAU6102 PAU610102PAU61010102PAU610202
PAU6202 PAU620102PAU62010102PAU620202
PAU6302 PAU630102PAU63010102PAU630202
PAU6402 PAU640102PAU64010102PAU640202
PAU6502PAU650102
PAU6602PAU660102
PAU6702PAU670102
PAU6802PAU680102
PAU6902PAU690102
PAU7002PAU700102
PAU7102PAU710102
PAU7202PAU720102
PAU7302PAU730102
PAU7402PAU740102
PAU7502PAU750102
PAU7602PAU760102
PAU7702PAU770102
PAU7802PAU780102
PAU7902PAU790102
PAU8002PAU800102
PAU8102PAU810102
PAU8202PAU820102
PAU8302PAU830102
PAU8402PAU840102
PAU8502PAU850102
PAU8602PAU860102
PAU8702PAU870102
PAU8802PAU880102
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PAU9002PAU900102
PAU9102PAU910102
PAU9202PAU920102
PAU9302PAU930102
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PAU9502PAU950102
PAU9602PAU960102
PAU9702PAU970102
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PAU9902PAU990102
PAU10002PAU1000102PAU1020102
PAU10302PAU1030102
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PAU10502PAU1050102
PAU10602PAU1060102
PAU10702PAU1070102
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PAU11002PAU1100102
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PAU11202PAU1120102
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PAU11502PAU1150102
PAU11602PAU1160102
PAU11702PAU1170102
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PAU11902PAU1190102
PAU12002PAU1200102
PAU12102PAU1210102
PAU12202PAU1220102
PAU12302PAU1230102
PAU12402PAU1240102
PAU12502PAU1250102
PAU12602PAU1260102
PAU12702PAU1270102
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PAU13002PAU1300102
PAU13102PAU1310102
PAU13202PAU1320102
PAU13302PAU1330102
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PAU13502PAU1350102
PAU13602PAU1360102
PAU13702PAU1370102
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PAU14002PAU1400102
PAU14102PAU1410102
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PAU14702PAU1470102
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PAU15002PAU1500102
PAU15102PAU1510102
PAU15202PAU1520102
PAU15302PAU1530102
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PAU15602PAU1560102
PAU15702PAU1570102
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PAU16002PAU1600102
PAU16102PAU1610102
PAU16202PAU1620102
PAU16302PAU1630102
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PAU16502PAU1650102
PAU16602PAU1660102
PAU16702PAU1670102
PAU16802PAU1680102
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PAU17002PAU1700102
PAU17102PAU1710102
PAU17202PAU1720102
PAU17302PAU1730102
PAU17402PAU1740102
PAU17502PAU1750102
PAU17602PAU1760102
PAU17702PAU1770102
PAU17802PAU1780102
PAU17902PAU1790102
PAU18002PAU1800102
PAU18102PAU1810102
PAU18202PAU1820102
PAU18302PAU1830102
PAU18402PAU1840102
PAU18502PAU1850102
PAU18602PAU1860102
PAU18702PAU1870102
PAU18802PAU1880102
PAU18902PAU1890102
PAU19002PAU1900102
PAU19102PAU1910102
PAU19202PAU1920102
PAU193012PAU193015
PAU19301012PAU19301015
PAU1930101012PAU1930101015
PAU19302012PAU19302015
PAU194012PAU194015
PAU19401012PAU19401015
PAU1940101012PAU1940101015
PAU19402012PAU19402015
PAU195012PAU195015
PAU19501012PAU19501015
PAU1950101012PAU1950101015
PAU19502012PAU19502015
PAU196012PAU196015
PAU19601012PAU19601015
PAU1960101012PAU1960101015
PAU19602012PAU19602015
PAU197012PAU197015
PAU19701012PAU19701015
PAU198012PAU198015
PAU19801012PAU19801015
PAU199012PAU199015
PAU19901012PAU19901015
PAU200012PAU200015
PAU20001012PAU20001015
PAU201012PAU201015
PAU20101012PAU20101015
PAU202012PAU202015
PAU20201012PAU20201015
PAU203012PAU203015
PAU20301012PAU20301015
PAU204012PAU204015
PAU20401012PAU20401015
PAUS01012
PAUS01015
PAUS0101012
PAUS0101015
PAU103 PAU10103PAU1010103PAU10203
PAU19309 PAU1930109PAU193010109PAU1930209
PAU203 PAU20103PAU2010103PAU20203
PAU19308 PAU1930108PAU193010108PAU1930208
PAU303 PAU30103PAU3010103PAU30203
PAU19307 PAU1930107PAU193010107PAU1930207
PAU403 PAU40103PAU4010103PAU40203
PAU19306 PAU1930106PAU193010106PAU1930206
PAU503 PAU50103PAU5010103PAU50203
PAU19305 PAU1930105PAU193010105PAU1930205
PAU603 PAU60103PAU6010103PAU60203
PAU19304 PAU1930104PAU193010104PAU1930204
PAU703 PAU70103PAU7010103PAU70203
PAU19303 PAU1930103PAU193010103PAU1930203
PAU803 PAU80103PAU8010103PAU80203
PAU19302 PAU1930102PAU193010102PAU1930202
PAU903 PAU90103PAU9010103PAU90203
PAU193023 PAU19301023PAU1930101023PAU19302023
PAU1003 PAU100103PAU10010103PAU100203
PAU193022 PAU19301022PAU1930101022PAU19302022
PAU1103 PAU110103PAU11010103PAU110203
PAU193021 PAU19301021PAU1930101021PAU19302021
PAU1203 PAU120103PAU12010103PAU120203
PAU193020 PAU19301020PAU1930101020PAU19302020
PAU1303 PAU130103PAU13010103PAU130203
PAU193019 PAU19301019PAU1930101019PAU19302019
PAU1403 PAU140103PAU14010103PAU140203
PAU193018 PAU19301018PAU1930101018PAU19302018
PAU1503 PAU150103PAU15010103PAU150203
PAU193017 PAU19301017PAU1930101017PAU19302017
PAU1603 PAU160103PAU16010103PAU160203
PAU193016 PAU19301016PAU1930101016PAU19302016
PAU1703 PAU170103PAU17010103PAU170203
PAU19409 PAU1940109PAU194010109PAU1940209
PAU1803 PAU180103PAU18010103PAU180203
PAU19408 PAU1940108PAU194010108PAU1940208
PAU1903 PAU190103PAU19010103PAU190203
PAU19407 PAU1940107PAU194010107PAU1940207
PAU2003 PAU200103PAU20010103PAU200203
PAU19406 PAU1940106PAU194010106PAU1940206
PAU2103 PAU210103PAU21010103PAU210203
PAU19405 PAU1940105PAU194010105PAU1940205
PAU2203 PAU220103PAU22010103PAU220203
PAU19404 PAU1940104PAU194010104PAU1940204
PAU2303 PAU230103PAU23010103PAU230203
PAU19403 PAU1940103PAU194010103PAU1940203
PAU2403 PAU240103PAU24010103PAU240203
PAU19402 PAU1940102PAU194010102PAU1940202
PAU2503 PAU250103PAU25010103PAU250203
PAU194023 PAU19401023PAU1940101023PAU19402023
PAU2603 PAU260103PAU26010103PAU260203
PAU194022 PAU19401022PAU1940101022PAU19402022
PAU2703 PAU270103PAU27010103PAU270203
PAU194021 PAU19401021PAU1940101021PAU19402021
PAU2803 PAU280103PAU28010103PAU280203
PAU194020 PAU19401020PAU1940101020PAU19402020
PAU2903 PAU290103PAU29010103PAU290203
PAU194019 PAU19401019PAU1940101019PAU19402019
PAU3003 PAU300103PAU30010103PAU300203
PAU194018 PAU19401018PAU1940101018PAU19402018
PAU3103 PAU310103PAU31010103PAU310203
PAU194017 PAU19401017PAU1940101017PAU19402017
PAU3203 PAU320103PAU32010103PAU320203
PAU194016 PAU19401016PAU1940101016PAU19402016
PADesignator102
PAUS01010
PAUS0101010
PADesignator103
PAUS01011
PAUS0101011
PADesignator104
PAUS01014
PAUS0101014
PADesignator105
PAUS01013
PAUS0101013
PADesignator1015
PAUS0101
PADesignator1016
PAUS010101
PADesignator106
PAU193010 PAU19301010PAU1930101010PAU19302010
PAU194010 PAU19401010PAU1940101010PAU19402010 PAU196010 PAU19601010PAU1960101010PAU19602010 PAU198010PAU19801010
PAU199010PAU19901010
PAU200010PAU20001010
PAU201010PAU20101010
PAU202010PAU20201010 PAU204010PAU20401010
PADesignator107
PAU193011 PAU19301011PAU1930101011PAU19302011
PAU194011 PAU19401011PAU1940101011PAU19402011 PAU196011 PAU19601011PAU1960101011PAU19602011 PAU198011PAU19801011 PAU200011PAU20001011 PAU204011PAU20401011
PADesignator108
PAU193014 PAU19301014PAU1930101014PAU19302014
PAU194014 PAU19401014PAU1940101014PAU19402014
PAU203014PAU20301014
PAU204014PAU20401014
PADesignator109
PAU193013 PAU19301013PAU1930101013PAU19302013
PAU194013 PAU19401013PAU1940101013PAU19402013 PAU196013 PAU19601013PAU1960101013PAU19602013
PAU203013PAU20301013
PAU204013PAU20401013
PADesignator1014
PAU101 PAU10101PAU1010101PAU10201
PAU201 PAU20101PAU2010101PAU20201
PAU301 PAU30101PAU3010101PAU30201
PAU401 PAU40101PAU4010101PAU40201
PAU501 PAU50101PAU5010101PAU50201
PAU601 PAU60101PAU6010101PAU60201
PAU701 PAU70101PAU7010101PAU70201
PAU801 PAU80101PAU8010101PAU80201
PAU901 PAU90101PAU9010101PAU90201
PAU1001 PAU100101PAU10010101PAU100201
PAU1101 PAU110101PAU11010101PAU110201
PAU1201 PAU120101PAU12010101PAU120201
PAU1301 PAU130101PAU13010101PAU130201
PAU1401 PAU140101PAU14010101PAU140201
PAU1501 PAU150101PAU15010101PAU150201
PAU1601 PAU160101PAU16010101PAU160201
PAU1701 PAU170101PAU17010101PAU170201
PAU1801 PAU180101PAU18010101PAU180201
PAU1901 PAU190101PAU19010101PAU190201
PAU2001 PAU200101PAU20010101PAU200201
PAU2101 PAU210101PAU21010101PAU210201
PAU2201 PAU220101PAU22010101PAU220201
PAU2301 PAU230101PAU23010101PAU230201
PAU2401 PAU240101PAU24010101PAU240201
PAU2501 PAU250101PAU25010101PAU250201
PAU2601 PAU260101PAU26010101PAU260201
PAU2701 PAU270101PAU27010101PAU270201
PAU2801 PAU280101PAU28010101PAU280201
PAU2901 PAU290101PAU29010101PAU290201
PAU3001 PAU300101PAU30010101PAU300201
PAU3101 PAU310101PAU31010101PAU310201
PAU3201 PAU320101PAU32010101PAU320201
PAU3301 PAU330101PAU33010101PAU330201
PAU3401 PAU340101PAU34010101PAU340201
PAU3501 PAU350101PAU35010101PAU350201
PAU3601 PAU360101PAU36010101PAU360201
PAU3701 PAU370101PAU37010101PAU370201
PAU3801 PAU380101PAU38010101PAU380201
PAU3901 PAU390101PAU39010101PAU390201
PAU4001 PAU400101PAU40010101PAU400201
PAU4101 PAU410101PAU41010101PAU410201
PAU4201 PAU420101PAU42010101PAU420201
PAU4301 PAU430101PAU43010101PAU430201
PAU4401 PAU440101PAU44010101PAU440201
PAU4501 PAU450101PAU45010101PAU450201
PAU4601 PAU460101PAU46010101PAU460201
PAU4701 PAU470101PAU47010101PAU470201
PAU4801 PAU480101PAU48010101PAU480201
PAU4901 PAU490101PAU49010101PAU490201
PAU5001 PAU500101PAU50010101PAU500201
PAU5101 PAU510101PAU51010101PAU510201
PAU5201 PAU520101PAU52010101PAU520201
PAU5301 PAU530101PAU53010101PAU530201
PAU5401 PAU540101PAU54010101PAU540201
PAU5501 PAU550101PAU55010101PAU550201
PAU5601 PAU560101PAU56010101PAU560201
PAU5701 PAU570101PAU57010101PAU570201
PAU5801 PAU580101PAU58010101PAU580201
PAU5901 PAU590101PAU59010101PAU590201
PAU6001 PAU600101PAU60010101PAU600201
PAU6101 PAU610101PAU61010101PAU610201
PAU6201 PAU620101PAU62010101PAU620201
PAU6301 PAU630101PAU63010101PAU630201
PAU6401 PAU640101PAU64010101PAU640201
PAU6501PAU650101
PAU6601PAU660101
PAU6701PAU670101
PAU6801PAU680101
PAU6901PAU690101
PAU7001PAU700101
PAU7101PAU710101
PAU7201PAU720101
PAU7301PAU730101
PAU7401PAU740101
PAU7501PAU750101
PAU7601PAU760101
PAU7701PAU770101
PAU7801PAU780101
PAU7901PAU790101
PAU8001PAU800101
PAU8101PAU810101
PAU8201PAU820101
PAU8301PAU830101
PAU8401PAU840101
PAU8501PAU850101
PAU8601PAU860101
PAU8701PAU870101
PAU8801PAU880101
PAU8901PAU890101
PAU9001PAU900101
PAU9101PAU910101
PAU9201PAU920101
PAU9301PAU930101
PAU9401PAU940101
PAU9501PAU950101
PAU9601PAU960101
PAU9701PAU970101
PAU9801PAU980101
PAU9901PAU990101
PAU10001PAU1000101PAU1020101
PAU10301PAU1030101
PAU10401PAU1040101
PAU10501PAU1050101
PAU10601PAU1060101
PAU10701PAU1070101
PAU10801PAU1080101
PAU10901PAU1090101
PAU11001PAU1100101
PAU11101PAU1110101
PAU11201PAU1120101
PAU11301PAU1130101
PAU11401PAU1140101
PAU11501PAU1150101
PAU11601PAU1160101
PAU11701PAU1170101
PAU11801PAU1180101
PAU11901PAU1190101
PAU12001PAU1200101
PAU12101PAU1210101
PAU12201PAU1220101
PAU12301PAU1230101
PAU12401PAU1240101
PAU12501PAU1250101
PAU12601PAU1260101
PAU12701PAU1270101
PAU12801PAU1280101
PAU12901PAU1290101
PAU13001PAU1300101
PAU13101PAU1310101
PAU13201PAU1320101
PAU13301PAU1330101
PAU13401PAU1340101
PAU13501PAU1350101
PAU13601PAU1360101
PAU13701PAU1370101
PAU13801PAU1380101
PAU13901PAU1390101
PAU14001PAU1400101
PAU14101PAU1410101
PAU14201PAU1420101
PAU14301PAU1430101
PAU14401PAU1440101
PAU14501PAU1450101
PAU14601PAU1460101
PAU14701PAU1470101
PAU14801PAU1480101
PAU14901PAU1490101
PAU15001PAU1500101
PAU15101PAU1510101
PAU15201PAU1520101
PAU15301PAU1530101
PAU15401PAU1540101
PAU15501PAU1550101
PAU15601PAU1560101
PAU15701PAU1570101
PAU15801PAU1580101
PAU15901PAU1590101
PAU16001PAU1600101
PAU16101PAU1610101
PAU16201PAU1620101
PAU16301PAU1630101
PAU16401PAU1640101
PAU16501PAU1650101
PAU16601PAU1660101
PAU16701PAU1670101
PAU16801PAU1680101
PAU16901PAU1690101
PAU17001PAU1700101
PAU17101PAU1710101
PAU17201PAU1720101
PAU17301PAU1730101
PAU17401PAU1740101
PAU17501PAU1750101
PAU17601PAU1760101
PAU17701PAU1770101
PAU17801PAU1780101
PAU17901PAU1790101
PAU18001PAU1800101
PAU18101PAU1810101
PAU18201PAU1820101
PAU18301PAU1830101
PAU18401PAU1840101
PAU18501PAU1850101
PAU18601PAU1860101
PAU18701PAU1870101
PAU18801PAU1880101
PAU18901PAU1890101
PAU19001PAU1900101
PAU19101PAU1910101
PAU19201PAU1920101
PAU193024 PAU19301024PAU1930101024PAU19302024
PAU194024 PAU19401024PAU1940101024PAU19402024
PAU195024 PAU19501024PAU1950101024PAU19502024
PAU196024 PAU19601024PAU1960101024PAU19602024
PAU197024PAU19701024
PAU198024PAU19801024
PAU199024PAU19901024
PAU200024PAU20001024
PAU201024PAU20101024
PAU202024PAU20201024
PAU203024PAU20301024
PAU204024PAU20401024
PAUS01024
PAUS0101024
PAU1930101PAU193010101
PAUS0109
PAUS010109
PAU1940101PAU194010101
PAUS0108
PAUS010108
PAU1950101PAU195010101
PAUS0107
PAUS010107
PAUS0106
PAUS010106
PAU19301PAU1930201
PAUS0105
PAUS010105
PAU19401PAU1940201
PAUS0104
PAUS010104
PAU19501PAU1950201
PAUS0103
PAUS010103
PAU19601PAU1960201
PAUS0102
PAUS010102
PAU19701PAU1970101
PAUS01023
PAUS0101023
PAU19801PAU1980101
PAUS01022
PAUS0101022
PAU19901PAU1990101
PAUS01021
PAUS0101021
PAU20001PAU2000101
PAUS01020
PAUS0101020
PAU20101PAU2010101
PAUS01019
PAUS0101019
PAU20201PAU2020101
PAUS01018
PAUS0101018
PAU20301PAU2030101
PAUS01017
PAUS0101017
PAU20401PAU2040101
PAUS01016
PAUS0101016
FREE License the schematic layout of the GaussSense PCB board
for Individual and Educational use from Today!Please check the materials on the website or
contact us at our Interactivity booth
AttachableHall-Sensor Grid
GaussSense
[Liang et al. UIST’12]
Rong-Hao Liang, Kai-Yin Cheng, Liwei Chan, Chuan-Xhyuan Peng, Mike Y. Chen, Rung-Huei Liang, De-Nian Yang, and Bing-Yu Chen
GaussBits: Magnetic Tangible Bits for Portable and Occlusion-Free Near-Surface Interactions
National Taiwan University, Academia Sinica, and National Taiwan University of Science and Technology
13年1月5日星期六
13年1月5日星期六Thanks for your attention!