| Abstract |
|
We present a surface modeling technique using 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.
|
 Additional Information
|
Citation:
Cindy M. Grimm,
"Simple Manifolds for Surface Modeling and Parameterization,"
smi,
p. 237,
International Conference on Shape Modeling and Applications 2002 (SMI'02),
2002
|
