Bezier surfaces with prescribed diagonals

被引：3
|
作者：
Arnal, A. [1 ]
Monterde, J.
机构：
[1] Univ Jaume 1, Dep Matemat, Castellon de La Plana, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 424卷
关键词：
Tensor product B?zier surface; Diagonal curve; B?zier patch; Boundary curve; Geometric modeling;
D O I：
10.1016/j.cam.2022.115018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The affine space of all tensor product Bezier patches of degree n x n with prescribed main diagonal curves is determined. First, the pair of Bezier curves which can be diagonals of a Bezier patch is characterized. Besides prescribing the diagonal curves, other related problems are considered, those where boundary curves or tangent planes along boundary curves are also prescribed.(c) 2022 Published by Elsevier B.V.
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页数：13
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