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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...
COMPGEOM
2008
ACM
13 years 6 months ago
Discrete laplace operator on meshed surfaces
In recent years a considerable amount of work in graphics and geometric optimization used tools based on the Laplace-Beltrami operator on a surface. The applications of the Laplac...
Mikhail Belkin, Jian Sun, Yusu Wang
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
PR
2007
141views more  PR 2007»
13 years 4 months ago
A Riemannian approach to graph embedding
In this paper, we make use of the relationship between the Laplace–Beltrami operator and the graph Laplacian, for the purposes of embedding a graph onto a Riemannian manifold. T...
Antonio Robles-Kelly, Edwin R. Hancock
CGI
2000
IEEE
13 years 8 months ago
Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape
This paper gives an overview of some recent methods useful for local and global shape analysis and for the design of solids. These methods include as new tools for global and loca...
Franz-Erich Wolter, K.-I. Friese