THE PLATEAU-B(E)ZIER PROBLEM WITH WEAK-AREA FUNCTIONAL

• 来源期刊: 计算数学（英文版）
• 年，卷（期）: 2020,（6）
• 页码范围: 868-878
• 页数: 11页
• 语种: 英文
• DOI: 10.4208/jcm.1906-m2019-0051

摘要

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.