TY - JOUR
T1 - Construction of Bézier Surfaces from Prescribed Boundary
AU - Hao , Yongxia
AU - Li , Ting
JO - Journal of Computational Mathematics
VL - 4
SP - 551
EP - 568
PY - 2023
DA - 2023/02
SN - 41
DO - http://doi.org/10.4208/jcm.2106-m2021-0050
UR - https://global-sci.org/intro/article_detail/jcm/21405.html
KW - Bézier surface, Boundary control points, Quadratic functional, Triharmonic equation.
AB - <p style="text-align: justify;">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.</p>