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» Mesh Parameterization Methods and Their Applications
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CGF
2006
177views more  CGF 2006»
13 years 7 months ago
Direct (Re)Meshing for Efficient Surface Processing
We propose a novel surface remeshing algorithm. While many remeshing algorithms are based on global parametrization or local mesh optimization, our algorithm is closely related to...
John M. Schreiner, Carlos Eduardo Scheidegger, Sha...
CGF
2008
173views more  CGF 2008»
13 years 7 months ago
A Local/Global Approach to Mesh Parameterization
We present a novel approach to parameterize a mesh with disk topology to the plane in a shape-preserving manner. Our key contribution is a local/global algorithm, which combines a...
Ligang Liu, Lei Zhang, Yin Xu, Craig Gotsman, Stev...
SMI
2010
IEEE
152views Image Analysis» more  SMI 2010»
13 years 5 months ago
Direct-Product Volumetric Parameterization of Handlebodies via Harmonic Fields
—Volumetric parameterization plays an important role for geometric modeling. Due to the complicated topological nature of volumes, it is much more challenging than the surface ca...
Jiazhi Xia, Ying He 0001, Xiaotian Yin, Shuchu Han...
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 4 months ago
Convergence, Stability, and Discrete Approximation of Laplace Spectra
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...
Tamal K. Dey, Pawas Ranjan, Yusu Wang
PG
2007
IEEE
14 years 1 months ago
Genus Oblivious Cross Parameterization: Robust Topological Management of Inter-Surface Maps
We consider the problem of generating a map between two triangulated meshes, M and M’, with arbitrary and possibly differing genus. This problem has rarely been tackled in its g...
Janine Bennett, Valerio Pascucci, Kenneth I. Joy