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» Convergent discrete Laplace-Beltrami operators over surfaces
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DCG
2007
74views more  DCG 2007»
13 years 5 months ago
A Discrete Laplace-Beltrami Operator for Simplicial Surfaces
Alexander I. Bobenko, Boris Springborn
TVCG
2012
176views Hardware» more  TVCG 2012»
11 years 7 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
CVPR
2012
IEEE
11 years 7 months ago
Geometric understanding of point clouds using Laplace-Beltrami operator
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zha...
COMPUTING
2007
126views more  COMPUTING 2007»
13 years 5 months ago
An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing
The discrete Laplace-Beltrami operator plays a prominent role in many Digital Geometry Processing applications ranging from denoising to parameterization, editing, and physical si...
Matthew Fisher, Boris Springborn, Peter Schrö...
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu