DocumentCode :
3375119
Title :
Approximation methods for the Plateau-Bézier problem
Author :
Xiao-Diao Chen ; Xua, Gang ; Wanga, Yigang
Author_Institution :
Coll. of Comput., Hangzhou Dianzi Univ., Hangzhou, China
fYear :
2009
fDate :
19-21 Aug. 2009
Firstpage :
588
Lastpage :
591
Abstract :
The stretching energy functional and the bending energy functional are widely used for approximating the solution of the Plateau-Beacuteizer problem. This paper presents another two simple methods by using the extended stretching energy functional and the extended bending energy functional. The resulting surface obtained by the new methods will have a smaller area. Comparisons are made with both the area and the mean curvature of the resulting surfaces.
Keywords :
approximation theory; computational geometry; Plateau-Bezier problem; approximation methods; energy functional; resulting surfaces mean curvature; Approximation methods; Educational institutions; Energy management; Laplace equations; Linear systems; Polynomials; Probes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer-Aided Design and Computer Graphics, 2009. CAD/Graphics '09. 11th IEEE International Conference on
Conference_Location :
Huangshan
Print_ISBN :
978-1-4244-3699-6
Electronic_ISBN :
978-1-4244-3701-6
Type :
conf
DOI :
10.1109/CADCG.2009.5246833
Filename :
5246833
Link To Document :
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