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.
引用
收藏
页数：13
相关论文
共 50 条
  • [21] A MULTISIDED GENERALIZATION OF BEZIER SURFACES
    LOOP, CT
    DEROSE, TD
    ACM TRANSACTIONS ON GRAPHICS, 1989, 8 (03): : 204 - 234
  • [22] Standardization of rational Bezier surfaces
    Yang, Yijun
    Yong, Junhai
    Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics, 2007, 19 (02): : 245 - 250
  • [23] Rational Bezier form of hodographs of rational Bezier curves and surfaces
    Kim, DS
    Jang, T
    Shin, H
    Park, JY
    COMPUTER-AIDED DESIGN, 2001, 33 (04) : 321 - 330
  • [24] Bezier surfaces of minimal area
    Cosín, C
    Monterde, J
    COMPUTATIONAL SCIENCE-ICCS 2002, PT II, PROCEEDINGS, 2002, 2330 : 72 - 81
  • [25] Optimal parameterizations of Bezier surfaces
    Yang, Yi-Jun
    Yong, Jun-Hai
    Zhang, Hui
    Paul, Jean-Claude
    Sun, Jiaguang
    Advances in Visual Computing, Pt 1, 2006, 4291 : 672 - 681
  • [26] Triangular Bezier sub-surfaces on a triangular Bezier surface
    Chen, Wenyu
    Yu, Rongdong
    Zheng, Jianmin
    Cai, Yiyu
    Au, Chikit
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (17) : 5001 - 5016
  • [27] Completing partial latin squares with two cyclically generated prescribed diagonals
    Grüttmüller, M
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2003, 103 (02) : 349 - 362
  • [28] Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues
    Yan, Wen
    Tam, Tin-Yau
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (03) : 1446 - 1453
  • [29] BEST APPROXIMATIONS OF SYMMETRICAL SURFACES BY BIQUADRATIC BEZIER SURFACES
    EISELE, EF
    COMPUTER AIDED GEOMETRIC DESIGN, 1994, 11 (03) : 331 - 343
  • [30] C-Bezier curves and surfaces
    Zhang, JW
    GRAPHICAL MODELS AND IMAGE PROCESSING, 1999, 61 (01): : 2 - 15
12345