Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Meshless parameterization and surface reconstruction
Computer Aided Geometric Design
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Using Most Isometric Parametrizations for Remeshing Polygonal Surfaces
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
Simple Manifolds for Surface Modeling and Parameterization (figures 3 and 6)
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
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This paper proposed a novel geometry compression method using spherical wavelet. Given a manifold triangle mesh with zero genus and arbitrary topology, it is globally parameterized over the unit sphere S2 in E3 firstly. At the same time, by subdividing an icosahedron and projecting all its vertices onto the unit sphere from the center, we can get a spherical triangle mesh with subdivision topology. Then we re-sampling all signals defined on the surface of the original triangle mesh at the vertices of the spherical subdivision mesh and get a set of discrete geometry signals with subdivision topology which can be compressed by using spherical wavelet.