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![Page 1: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless.](https://reader035.fdocuments.us/reader035/viewer/2022062809/5697bf821a28abf838c859a6/html5/thumbnails/1.jpg)
Chinh T. Vu , Yingshu Li
Computer Science Department Georgia State University
IEEE percom 2009
Delaunay-triangulation based complete coverage inwireless sensor networks
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OutlineIntroduction Protocol Simulation Conclusion
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Introduction The coverage problems for sensor networks can be categorized into three broad
types Barrier Coverage Target Coverage Area Coverage
AA
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Introduction The coverage problems for sensor networks can be categorized into three broad
types Barrier Coverage Target Coverage Area Coverage AA
Target point
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Introduction The coverage problems for sensor networks can be categorized into three broad
types Barrier Coverage Target Coverage Area Coverage
AA
![Page 6: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless.](https://reader035.fdocuments.us/reader035/viewer/2022062809/5697bf821a28abf838c859a6/html5/thumbnails/6.jpg)
Introduction Equilateral triangulation with each edge as has the minimal redundant coverage3 sR
AA
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Introduction Random sensor deployment and variable sensing radii
AA
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Motivation Overlap Uncovered hole
A B
E
D
C
maxr
A B
E
D
C
maxr
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Goal The monitored area can be completely covered.Minimize the energy consumption and extend the lifetime of
networks.
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IDT AlgorithmStep 1. Build the local Delaunay triangulationStep 2. Determine weighted centroid of Delaunay
triangulationStep 3. Sensors at border increase sensing ranges
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Step 1. Delaunay Triangulation (DT)
Empty Circle Property Nearest
P1
P2
P4P3
P1
P2
P4P3
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Step 1. Delaunay Triangulation (DT)
Empty Circle Property Nearest
A B
ED
C
A B
E
D
C
maxr
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Step 1.
P1
P4
P8P5
P2
P3
P7
P6
P9
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Step 1.
P1
P4
P8P5
P2
P3
P7
P6
P9
Delaunay triangulation
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Step 1.
P1
P4
P8P5
P2
P3
P7
P6
P9
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Step 2. E(s) : sensor s’s current residual energy
Sx : x coordinate
Sy : y coordinate
(1.5 , 1.6)
(2 , 1)(1 , 1)
0.5 1.5 0.5 1 0.5 21.5
0.5 0.5 0.5xm
0.5 1.6 0.5 1 0.5 11.2
0.5 0.5 0.5ym
A
B C
ID E(s)
A 0.5
B 0.5
C 0.5
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Step 2. E(s) : sensor s’s current residual energy
Sx : x coordinate
Sy : y coordinate
(1.5 , 1.6)
(2 , 1)(1 , 1)
0.5 1.5 0.5 1 1 21.625
0.5 0.5 1xm
0.5 1.6 0.5 1 1 11.15
0.5 0.5 1ym
A
B C
ID E(s)
A 0.5
B 0.5
C 1
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Step 2. E(s) : sensor s’s current residual energy
Sx : x coordinate
Sy : y coordinate
(1.5 , 1.6)
(2 , 1)(1 , 1)
0.5 1.5 0.5 1 0 21.25
0.5 0.5 0xm
0.5 1.6 0.5 1 0 11.3
0.5 0.5 0ym
A
B C
ID E(s)
A 0.5
B 0.5
C 0
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Problem
A
B
C
boundary
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Step 1.
A
B
C
D
E
G
F
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Step 1.
A
B
C
D
E
G
F
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Step 1.
A
B
C
D
E
G
F
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Step 2.
A
B
C
D
E
G
F
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Step 2.
A
B
C
D
E
G
F
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Step 2.
A
B
C
D
E
G
F
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Step 3.
A
B
C
D
E
G
F
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Step 3. Define priority of a node as <Es, ID >
A
B
C
D
E
G
F E has the highest priority & NOT completely perimeter- covered
G has the highest priority & NOT completely perimeter- covered
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Simulation
Parameter Value
Network size 800m X 400m
Number of sensors 100 ~ 500
Energy range 100 ~ 120 mJoules
Maximum sensing range 100m
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Simulation
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Simulation
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Simulation
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Conclusion They deal with the area coverage problem with variable sensing
radii variable sensing radii in WSN Using variable sensing radii variable sensing radii in WSN by improving the
energy balancing The monitored area can be completely covered
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Thank you~