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An efficient PILP algorithm for 3D region guarding and star decomposition

Published: 07 August 2011 Publication History

Abstract

We propose an efficient algorithm to compute 3D region guarding and star decomposition. A star decomposition partitions a 3D region to a set of sub-regions, each of which is visible from an interior point and is called a star shape. Star decomposition is closely related to the well known gallery guarding problem [Chvatal 1975]. Despite their broad applications in graphics and robotics, 3D region guarding and star decomposition are highly challenging and have been little explored.

References

[1]
Chvatal, V. 1975. A combinatorial theorem in plane geometry. Journal of Combinatorial Theory Series B 18, 39--41.
[2]
Lien, J.-M. 2007. Approximate star-shaped decomposition of point set data. In Eurographics Symposium on Point-Based Graphics, 1--8.

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  1. An efficient PILP algorithm for 3D region guarding and star decomposition

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      cover image ACM Conferences
      SIGGRAPH '11: ACM SIGGRAPH 2011 Posters
      August 2011
      92 pages
      ISBN:9781450309714
      DOI:10.1145/2037715
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      Published: 07 August 2011

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