THE PL ATEAU-BEZIER PROBLEM WITH WEAK-A REA FUNCTIONAL  

作　　者：Yongxia Hao 

机构地区：[1]Faculty of Science,Jia/ngsu University,Zhenjiang 212013,China

出　　处：《Journal of Computational Mathematics》2020年第6期868-878,共11页计算数学（英文）

基　　金：the National Natural Science Foundation of China(Nos.11801225,11526098);University Science Research Project of Jiangsu Province(No.18KJB110005);the Research Foundation for Advanced Talents of Jiangsu University(No.14JDG034).

摘　　要：In this paper,we present a new method to solve the Plateau-Bezier problem.A new energy functional called weak-area functional is proposed as the objective functional to obtain the approximate minimal Bezier 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.

关 键 词：Minimal surface Plateau-Bezier problem Weak isothermal parameterization Weak-area functional. 

分 类 号：O17[理学—数学]