Dm2 Lectures v3

8/4/2019 Dm2 Lectures v3

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POINTSDM2 | Lecture 1

www.matysdesign.com


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POINT OBJECT

Point objects mark a single pointin 3 D space. Points are the sim-plest objects when working in 3Dsoftwares. Points are most of-ten used as placeholders. Theyare placed with point drawingcommands. They can be locatedwith the point object snap and

manipulated with transform com-mands. Point objects are not thesame as control points which willlater be discussed.

a point

WHAT IS A POINT?

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2 POINT CURVE

Is a line that is made up of 2points, which contain coordinatedata in 3D space. The pointsdefine the beginning and end ofthe line.

WHAT DO POINTS DO?

2 point

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MULTIPLE POINT

The connection of points intocurves can be done numerous ways,some are a tighter fit then oth-ers. Simply selecting a curvefunction can give you a loosecurve to point relationship. Aninterpret curve (interpcrv) func-tion will give you the most ac-curate curve to point relation-ship.

WHAT DO POINTS DO?

multi point

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DIVIDE CURVE

Creates point objects by dividinga curve into a number of equallength segments or segments of aspecified length.

Dividing a curve creates an even-ly set of spaced points through-out the length of the curve. Thenumber of segments is defined in

the parameters of the command andusually cannot be more than 1000points.

WHAT DO POINTS DO?

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normal curve

divided curve


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POINT GRID

Draws a rectangular grid of pointobjects from specified cornerlocations, two adjacent cornersand a distance, perpendicular tothe construction plane, or froma center.

Steps:1. Must define the number ofpoints in the x-direction.

2. Must define the number ofpoints in the y-direction.3. Select a starting point forthe grid.4. Select an ending point forthe other corner.

WHAT DO POINTS DO?

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grid


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CLOSEST POINT

Creates a point object at the

closest point from a specifiedlocation to a selected object oron two objects where they areclosest to each other.

The distance is located on thecommand line.This command finds the locationon an object you specify that isclosest to the base point youpreviously picked, and it thencreates a point object.

Point objects are created bothof the selected objects at thepoints closest to each other.

WHAT ARE POINTS USED FOR?

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Closest


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CLOSEST POINT

Creates a single object from se-lected point objects for selec-tion and faster display.The point cloud object type im-proves Softwares performance

when handling a large number ofpoint objects imported from ex-ternal files.

You can use the point cloud ob-ject to group any number of in-dividual points into a singleobject, minimizing the amountof storage in the 3DM file andmaintaining performance. You can

snap and select points in thecloud as if they were just pointobjects. A point cloud is simi-lar to a mesh object that doesnot display any wires betweenvertices.


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VERONOI POINT CLOUD

In mathematics, a Veronoi diagram is a specialkind of decomposisiton of a metric space deter-mined by distances to a specified discrete setof objects in the space. Voronoi diagrams havecountless applications from statistics to biol-ogy and urban planning.

Voronoi diagrams can also be useful in an ar-chitectural context, for several reasons:

a. Their structural properties, both in 2d and3d.b. As a way to subdivide/organize space, basedon proximity/closest neighbor.c. The fact that they can describe many naturalformations, like soap bubbles, sponges or bonecells, which can inform architecture with newways to organize and structure space.

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3D SCANNER POINT CLOUD

A 3D scanner is a device that scans a real world

object 360 degrees, and collects data which istranslated into a 3 dimensional model.

A scanner will typically create a point cloudof geometric samples of the object. The pointscan be used to construct the shape of the objectaccurately. If color information is collectedat each point, then the colors of the objectwill also be determined.


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CONTROL POINTS

Control points are coefficients

of NURBS basis functions. Some-times also called control vertexor node.

Control points are markers orgrips on objects such ascurves, surfaces, lights, anddimensions and cannot be sepa-rated from their objects.

DEGREE

From a NURBS modeling point ofview, the (degree 1) is themaximum number of bends youcan get in each span.


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Control points determine the shape of thecurve. Typically, each point of the curve iscomputed by taking a weighted sum of a numberof control points. The weight of each point

varies according to the governing parameter.

The fact that a single control point only in-fluences those intervals where its active isa highly desirable property, known as localsupport. In modelling, it allows the changingof one part of a surface while keeping otherparts equal. Adding more control points al-lows better approximation to a given curve

The control points can have any dimension-ality. One-dimensional points just define ascalar function of the parameter. Three-di-mensional control points are used abundantlyin 3D modelling, where they are used in theeveryday meaning of the word point, a lo-cation in 3D space. Multi-dimensional pointsmight be used to control sets of time-drivenvalues, e.g. the different positional and ro-

tational settings of a robot arm. NURBS sur-faces are just an application of this. Eachcontrol point is actually a full vectorof control points, defining a curve. Thesecurves share their degree and the number ofcontrol points, and span one dimension of theparameter space. By interpolating these con-trol vectors over the other dimension of theparameter space, a continuous set of curvesis obtained, defining the surface.

What is the relationshipof points and curves?

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P-WALL - ANDREW KUDLESS

2009


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P-WALL - ANDREW KUDLESS

Kudless generated a point cloud based on an imagesgreyscale values. These points were then used to markthe positions of dowels which constrain the elasticityin the fabric formwork. Kudless then poured plasterinto the mould so that the fabric expanded under the

weight of the plaster.

Assembled into a larger surface, a pattern emerges be-tween the initial images grayscale tones and the shad-ows produced by the wall.


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Feathered Edge -

ANDRE LYON | 2009


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Feathered Edge - Andrew Lyon, Benjamin Ball and GastonNogues,

Feather Edge is the exploration of space through fluidarchitectural forms. Linear connections are constructedto resemble objects hovering in space. With over 21miles of twine, suspended from a mesh of scrims in-

stalled in the walls and ceilings; conveying the ideaof hovering in space. The fabrication, by Ball-NogesStudio was simulated in parametric software will theygenerated a map to be printed onto a surface with pre-cise detail and location of the points for the twine tosuspend at a particular distribution. The weight ofthe string creates a complex system of overlapping cat-enary curves on which cyan, magenta, yellow, and blacksegments were printed to yield the effect of ghostlythree dimensional objects.


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CRADLE - FRANK GEHRY

2010


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GRAVIYS LOOM - 2010BENJAMIN JENETT, AYODH KAMATH


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GRAVITYS LOOM - BENJAMIN JENETT, AYODH KAMATH AND OTH-ERS

Spanning from one end to another in a pavillion, theGravitys Loom is a composition of an array of coloredtwine that denotes the idea of soft spiraling gossa-mer surface. The twin will start in a ordered degree,

twisting, controting, and spiralling to the atrium;changing the visitors experience as the descend/ascendthe stairs. The twine is connect by two points that cir-culate the parimeter, forming a curvilinear expressionin response to the Pavilion. At disctintive points, thetwine is painted to illuminate an image or three dimen-sional volus that will blur into billows of color andthen snap into a focused geometry.

- Ball-Nogues


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DROP-IN DISTRACTION -BENJAMIN BALL


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DROP-IN DISTRACTION - BENJAMIN BALL + GASTON NODGESLos Angeles County Permit Office | 2010

Composed of two thousand individual metallic bead chains,is a first part of the Suspension series in the Ball-Nogues studio experiement. A combination of sculpturalartwork and modular ceiling system, the chains span be-

tween custom perforated aluminum panels fitted withinthe existing acoustical ceiling grid. Each chain isin precise relation to its neighbors to yield an arraythat is more a diaphanous metallic vapor than a dis-crete solid object. The sculpture suggest a volume ofa regulated surface that responds to its visual ideaof a torrent of falling rain.


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UNSEEN CURRENT -BENJAMIN BALL


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STATUE OF LIBERTY -Dr. Louden, Texas Tech University

3d scan


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3D SCAN

Point clouds are essential when scaning objects becausethe plot the points based on the variable distances ofcolor from the spectrum of the scanner to the object.This is a repetitive action that occurs as the scanneranalyzes its data, determining precise detail for di-rect replication or fabrication.

Dm2 Lectures v3

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