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IJCGA
2006

Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations

13 years 10 months ago
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modified discrete Laplace Beltrami operator over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace Beltrami operator and a sequence of hierarchical spherical triangulations are constructed. Truncation error bounds of the discrete Laplace Beltrami operator over the constructed triangulations are provided. Key words: Laplace-Beltrami operator; Convergence; Spherical triangulation, Truncation error.
Guoliang Xu
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where IJCGA
Authors Guoliang Xu
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