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» Computing discrete shape operators on general meshes
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CGF
2007
153views more  CGF 2007»
13 years 6 months ago
Skeleton-based Variational Mesh Deformations
In this paper, a new free-form shape deformation approach is proposed. We combine a skeleton-based mesh deformation technique with discrete differential coordinates in order to cr...
Shin Yoshizawa, Alexander G. Belyaev, Hans-Peter S...
SGP
2007
13 years 8 months ago
Shape optimization using reflection lines
Many common objects have highly reflective metallic or painted finishes. Their appearance is primarily defined by the distortion the curved shape of the surface introduces in the ...
E. Tosun, Yotam I. Gingold, Jason Reisman, Denis Z...
SGP
2007
13 years 8 months ago
Focal surfaces of discrete geometry
The differential geometry of smooth three-dimensional surfaces can be interpreted from one of two perspectives: in terms of oriented frames located on the surface, or in terms of ...
Jingyi Yu, Xiaotian Yin, Xianfeng Gu, Leonard McMi...
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 4 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...