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This presentation provides an overview of coverage in sensor networks, focusing on the concepts of worst-case and best-case scenarios for detection paths. The worst-case scenario involves analyzing the closest distances to sensors (Breach Coverage), while the best-case scenario examines the maximum distances between sensors (Support Coverage). It utilizes Voronoi diagrams for defining regions and Delaunay triangulation for optimizing paths. The discussion highlights coverage improvements and the impact of sensor placement, revealing that adding one sensor can significantly enhance coverage efficiency.
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Worst & Best-Case Coverage in Sensors Networks DEC 2004 Seapahn Megerian Ph.D. UCLA Miodrag Potkonjak Ph.D. Berkley Mani B. Srivastava Ph.D. Berkley Farinaz Koushanfar Grad @ Berkley Presented by: Eugene Khokhlov Eugene@ApplicaSoft.com (847) 4591535
Coverage in Sensor Networks Voronoi diagrams & Maximal Breach Path Delaunay triangulation & Maximal Support Path Coverage Improvement Quick Overview Eugene, Worst & Best-Case Coverage in S.N.
Definitions • Coverage – an area in which seismic or acoustic sensors can detect an activity • Worst-case (Breach)– The closest distance to sensors on a path. • Best-Case – The maximum distance between the sensors on the path of closest sensors Eugene, Worst & Best-Case Coverage in S.N.
Voronoi Diagram Set of polygons such that all points inside a polygon are closest to only one site Edges that are equidistant from neighboring sites Eugene, Worst & Best-Case Coverage in S.N.
Delaunay triangulation • Connecting the sites in the Voronoi diagram whose polygons share a common edge. Eugene, Worst & Best-Case Coverage in S.N.
Worst Case (Breach) Worst Case (Breach) Eugene, Worst & Best-Case Coverage in S.N.
Best Case, Path Choosing the CLOSEST Eugene, Worst & Best-Case Coverage in S.N.
Comparison Worst Case => Breach Weight The closest distance to sensors on the path of travel. Best Case => Support Weight The maximum distance from the closest sensors on the Path of travel Eugene, Worst & Best-Case Coverage in S.N.
Add 1 sensor to 100 and get 10% improvement in coverage Coverage Improvement Eugene, Worst & Best-Case Coverage in S.N.
Conclusion • Voronoy diagram & breach path (Worst-Case) • Delaunay triangulation & Support Path (Best-Case) • Coverage improvement • Questions? Email to: Eugene@ApplicaSoft.com Eugene, Worst & Best-Case Coverage in S.N.