Wednesday, November 3

Modeling and Reconstruction with Simplices

9:15 AM-10:00 AM
Room: Rio Grande Ballroom
Chair: Alyn Rockwood, Arizona State University

A large portion of geometric modeling can be understood as a mesh generation activity. We see a significant divide separating isotropic from anisotropic methods. The isotropic domain is amenable to combinatorial ideas, most notably the Delaunay triangulation, while the anisotropic domain strives primarily on numerical ideas. Is this the way it will also be in the future or can Delaunay triangulations be extended to Riemannian metrics? The difference between the two domains is illustrated by demonstrations of the isotropic reconstruction of a surface from a point cloud with Geomagic Wrap, and the anisotropic simplification of a triangulated surface with Geomagic Decimator.

Herbert Edelsbrunner
Department of Computer Science
Duke University, and Raindrop Geomagic


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Created TJF, 5/20/99;Last Updated MMD, 6/15/99