Year: 2023
Author: Yongxia Hao, Ting Li
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 551–568
Abstract
In this paper, we present a method for generating Bézier surfaces from the boundary information based on a general second order functional and a third order functional associated with the triharmonic equation. By solving simple linear equations, the internal control points of the resulting Bézier surface can be obtained as linear combinations of the given boundary control points. This is a generalization of previous works on Plateau-Bézier problem, harmonic, biharmonic and quasi-harmonic Bézier surfaces. Some representative examples show the effectiveness of the presented method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2106-m2021-0050
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 551–568
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Bézier surface Boundary control points Quadratic functional Triharmonic equation.