Year: 2020
Author: Yongxia Hao
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 6 : pp. 868–878
Abstract
In this paper, we present a new method to solve the Plateau-Bézier problem. A new energy functional called weak-area functional is proposed as the objective functional to obtain the approximate minimal Bézier surface from given boundaries. This functional is constructed based on Dirichlet energy and weak isothermal parameterization condition. Experimental comparisons of the weak-area functional method with existing Dirichlet, quasi-harmonic, the strain energy-minimizing, harmonic and biharmonic masks are performed which show that the weak-area functional method are among the best by choosing appropriate parameters.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1906-m2019-0051
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 6 : pp. 868–878
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Minimal surface Plateau-Bézier problem Weak isothermal parameterization Weak-area functional.