ACM SIGGRAPH 2004 Papers
Spherical manifolds for adaptive resolution surface modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Computer Aided Geometric Design
A surface displaced from a manifold
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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We present a surface modeling techniqueusing manifolds.Our approach uses a single, simple parameterization for all surfaces of a given genus.This differs from previous approaches which build a parameterization based on the elements of a mesh.The simple parameterization is more appropriate for applications that do complex operations in parameter space or on the mesh surface.We define a manifold and a corresponding embedding function for three genera (plane, sphere, and torus).The manifold can be used simply as a parameterization tool or as a smooth surface approximating the original mesh.We demonstrate how t build a correspondence between the mesh and the manifold,then how t build an embedding that approximates the mesh.