Nonobtuse Meshes with Guaranteed Angle Bounds - Yung San Li, John
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High-quality mesh representations of 3D objects are useful in many applications ranging from computer graphics to mathematical simulation. We present a novel method to generate triangular meshes with a guaranteed face angle bound of [30, 90]. The strategy is to first remesh a 2-manifold, open or closed, mesh into a rough approximate mesh that respects the proposed angle bounds. This is achieved by a novel extension to the Marching Cubes algorithm. Next, we perform an iterative constrained optimization, along with constrained Laplacian smoothing, to arrive at a close approximation of the input…mehr

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Produktbeschreibung
High-quality mesh representations of 3D objects are useful in many applications ranging from computer graphics to mathematical simulation. We present a novel method to generate triangular meshes with a guaranteed face angle bound of [30, 90]. The strategy is to first remesh a 2-manifold, open or closed, mesh into a rough approximate mesh that respects the proposed angle bounds. This is achieved by a novel extension to the Marching Cubes algorithm. Next, we perform an iterative constrained optimization, along with constrained Laplacian smoothing, to arrive at a close approximation of the input mesh. A constrained mesh decimation algorithm is then carried out to produce a hierarchy of coarse meshes where the angle bounds are maintained. We demonstrate the quality of our work through several examples.
Autorenporträt
Yung San Li, John§John Y.S. Li has earned his undergraduate and master degree with first class honour in Computing Science at Simon Fraser University in Vancouver, Canada. His research interest is in geometry processing. He has published a short paper at the Eurographics Symposium on Geometry Processing in 2006. Currently, he is employed at Slant Six Games.