Geometry And Topology

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By J. F. Davis

ISBN-10: 3718602504

ISBN-13: 9783718602506

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To adequately sample all the features of a model, we employ a parametrization distortion metric based on stretch minimisation. We minimise this nonlinear metric each time a new vertex is introduced, by locally optimising its location and those of its immediate neighbours. 5, we also perform a global pass, optimising all vertices introduced so far. When optimising any vertex, we constrain it to the kernel of its neighbourhood, to prevent flips. Degenerate triangles are prevented naturally by the stretch metric, which becomes infinite in that case.

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Cowsar, and D. Dobkin. MAPS: Multiresolution adaptive parameterization of surfaces. Computer Graphics, 32(Annual Conference Series):95–104, August 1998. 26 Pierre Alliez and Craig Gotsman 45. E. Lee and H. Ko. Vertex Data Compression For Triangular Meshes. In Proc. Pacific Graphics, pages 225–234, 2000. 46. H. Lee, P. Alliez, and M. Desbrun. Angle-Analyzer: A Triangle-Quad Mesh Codec. In Eurographics Conference Proceedings, pages 383–392, 2002. 47. M. Levoy, K. Pulli, B. Curless, S. Rusinkiewicz, D.

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