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Finding Self-intersections of a Triangular Mesh by Using Visibility Maps  

Park S. C. (아주대학교 산업정보시스템공학부)
Publication Information
Korean Journal of Computational Design and Engineering / v.9, no.4, 2004 , pp. 382-386 More about this Journal
Abstract
This paper presents an algorithm for the triangular mesh intersection problem. The key aspect of the proposed algorithm is to reduce the number of triangle pairs to be checked for intersection. To this end, it employs two different approaches, the Y-group approach and the space partitioning approach. Even though both approaches have the same objective of reducing the number of triangular-triangular intersection (TTI) pairs, their inherent characteristics are quite different. While the V-group approach works by topology (reduces TTI pairs by guaranteeing no intersection among adjacent triangles), the space partitioning approach works by geometry (reduces TTI pairs by guaranteeing no intersection among distant triangles). The complementary nature of the two approaches brings substantial improvement in reducing the number TTI pairs.
Keywords
Triangular mesh; Self-intersections; Visibility map;
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