CONSTRUCTION OF BEZIER SURFACES FROM PRESCRIBED BOUNDARY

被引：1
|
作者：
Hao, Yongxia [1 ]
Li, Ting [1 ]
机构：
[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212000, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2023年 / 41卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Be?zier surface; Boundary control points; Quadratic functional; Triharmonic equation;
D O I：
10.4208/jcm.2106-m2021-0050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a method for generating Be & PRIME;zier surfaces from the boundary information based on a general second order functional and a third order functional as-sociated with the triharmonic equation. By solving simple linear equations, the internal control points of the resulting Be & PRIME;zier surface can be obtained as linear combinations of the given boundary control points. This is a generalization of previous works on Plateau-Be & PRIME;zier problem, harmonic, biharmonic and quasi-harmonic Be & PRIME;zier surfaces. Some representative examples show the effectiveness of the presented method.
引用
收藏
页码：507 / 508
页数：2
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