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Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces
Beijing, China April 13-April 15
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290041Geometric Modeling and Processing 2004
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Guoliang Xu, "Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces," Geometric Modeling and Processing, pp. 195, Geometric Modeling and Processing 2004, 2004.
 
 
BibTex
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@article{ 10.1109/GMAP.2004.1290041,
author = {Guoliang Xu},
title = {Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces},
journal ={Geometric Modeling and Processing},
volume = {0},
year = {2004},
isbn = {0-7695-2078-2},
pages = {195},
doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290041},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Geometric Modeling and Processing
TI - Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces
SN - 0-7695-2078-2
SP
EP
A1 - Guoliang Xu,
PY - 2004
KW - Laplace-Beltrami Operator; Surface triangulation; Discretization; Convergence
VL - 0
JA - Geometric Modeling and Processing
ER -
 
Guoliang Xu, Chinese Academy of Sciences, Beijing, China
The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace-Beltrami operators over triangulated surfaces. Convergence results for these discrete Laplace-Beltrami operators are established under various conditions. Numerical results that support the theoretical analysis are given. Application examples of the proposed discrete Laplace-Beltrami operators in surface processing and modelling are also presented.
Index Terms:
Laplace-Beltrami Operator; Surface triangulation; Discretization; Convergence
Citation:
Guoliang Xu, "Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces," gmp, pp.195, Geometric Modeling and Processing 2004, 2004
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