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
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;
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
DOI :
10.1109/CADCG.2009.5246833