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DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS.
- Source :
-
International Journal of Computational Geometry & Applications . Feb2006, Vol. 16 Issue 1, p75-93. 19p. 4 Diagrams, 4 Charts. - Publication Year :
- 2006
-
Abstract
- In this paper we first modify a widely used discrete Laplace-Beltrami operator proposed by Meyer et al over triangular surfaces, and then we show that the modified discrete operator has some convergence properties 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 is constructed. Optimal hierarchical spherical triangulations are also given. Truncation error bounds of the discrete Laplace-Beltrami operator over the constructed triangulations are provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181959
- Volume :
- 16
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Computational Geometry & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19852436
- Full Text :
- https://doi.org/10.1142/S0218195906001938