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» Discrete laplace operator on meshed surfaces
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SGP
2007
13 years 10 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...
PAMI
2011
13 years 2 months ago
Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction
—Triangulated meshes have become ubiquitous discrete surface representations. In this paper, we address the problem of how to maintain the manifold properties of a surface while ...
Andrei Zaharescu, Edmond Boyer, Radu Horaud
TVCG
2012
176views Hardware» more  TVCG 2012»
11 years 10 months ago
Point-Based Manifold Harmonics
—This paper proposes an algorithm to build a set of orthogonal Point-Based Manifold Harmonic Bases (PB-MHB) for spectral analysis over point-sampled manifold surfaces. To ensure ...
Yang Liu, Balakrishnan Prabhakaran, Xiaohu Guo
SMI
2005
IEEE
120views Image Analysis» more  SMI 2005»
14 years 1 months ago
Discrete Tensorial Quasi-Harmonic Maps
We introduce new linear operators for surface parameterization. Given an initial mapping from the parametric plane onto a surface mesh, we establish a secondary map from the plane...
Rhaleb Zayer, Christian Rössl, Hans-Peter Sei...
SGP
2004
13 years 10 months ago
A Remeshing Approach to Multiresolution Modeling
Providing a thorough mathematical foundation, multiresolution modeling is the standard approach for global surface deformations that preserve fine surface details in an intuitive ...
Mario Botsch, Leif Kobbelt