Handling degenerate cases in exact geodesic computation on triangle meshes |
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Authors: | Yong-Jin Liu Qian-Yi Zhou Shi-Min Hu |
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Affiliation: | 1. Department of Computer Science and Technology, Tsinghua University, East Main Building, Beijing, 100084, China
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Abstract: | The computation of exact geodesics on triangle meshes is a widely used operation in computer-aided design and computer graphics. Practical algorithms for computing such exact geodesics have been recently proposed by Surazhsky et al. 5]. By applying these geometric algorithms to real-world data, degenerate cases frequently appear. In this paper we classify and enumerate all the degenerate cases in a systematic way. Based on the classification, we present solutions to handle all the degenerate cases consistently and correctly. The common users may find the present techniques useful when they implement a robust code of computing exact geodesic paths on meshes. |
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