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2008

Computing geometry-aware handle and tunnel loops in 3D models

8 years 11 months ago
Computing geometry-aware handle and tunnel loops in 3D models
Many applications such as topology repair, model editing, surface parameterization, and feature recognition benefit from computing loops on surfaces that wrap around their `handles' and `tunnels'. Computing such loops while optimizing their geometric lengths is difficult. On the other hand, computing such loops without considering geometry is easy but may not be very useful. In this paper we strike a balance by computing topologically correct loops that are also geometrically relevant. Our algorithm is a novel application of the concepts from topological persistence introduced recently in computational topology. The usability of the computed loops is demonstrated with some examples in feature identification and topology simplification. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Curve, Surface, Solid, and Object Representations; I.3.4 [Computer Graphics]: Graphics Utilities-Graphics Editors
Tamal K. Dey, Kuiyu Li, Jian Sun, David Cohen-Stei
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where TOG
Authors Tamal K. Dey, Kuiyu Li, Jian Sun, David Cohen-Steiner
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