Filling polygonal holes using C1 cubic triangular spline patches

被引:40
|
作者
Chui, CK
Lai, MJ [1 ]
机构
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Univ Georgia, Dept Math, Athens, GA 30602 USA
基金
美国国家科学基金会;
关键词
minimal energy method; triangular splines; polygonal holes;
D O I
10.1016/S0167-8396(00)00005-4
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
We use the method of energy minimization to fill polygonal holes by C-1 cubic triangular spline patches. We implement the method in MATLAB. Several numerical examples are shown. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:297 / 307
页数:11
相关论文
共 50 条
  • [1] FILLING POLYGONAL HOLES WITH BICUBIC PATCHES
    GREGORY, JA
    ZHOU, JW
    COMPUTER AIDED GEOMETRIC DESIGN, 1994, 11 (04) : 391 - 410
  • [2] Construction of cubic triangular patches with C1 continuity around a corner
    Zhang, RJ
    Liu, LG
    Wang, GJ
    Ma, WY
    NINTH INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS, PROCEEDINGS, 2005, : 73 - 78
  • [3] NEW CUBIC TIMMER TRIANGULAR PATCHES WITH C1 AND G1 CONTINUITY
    Ali, Fatin Amani Mohd
    Karim, Samsul Ariffin Abdul
    Dass, Sarat Chandra
    Skala, Vaclav
    Saaban, Azizan
    Hasan, Mohammad Khatim
    Hashim, Ishak
    JURNAL TEKNOLOGI, 2019, 81 (06): : 1 - 11
  • [4] Triangular B-splines for blending and filling of polygonal holes
    Pfeifle, R
    Seidel, HP
    GRAPHICS INTERFACE '96, PROCEEDINGS, 1996, : 186 - 193
  • [5] Construction of a C1 Polygonal Spline Element Based on the Scaled Boundary Coordinates
    Liu, Zhen-Yi
    Li, Chong-Jun
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2025, 126 (04)
  • [6] DESIGNING C-1 SURFACES CONSISTING OF TRIANGULAR CUBIC PATCHES
    FARIN, G
    COMPUTER-AIDED DESIGN, 1982, 14 (05) : 253 - 256
  • [7] A bivariate C1 cubic spline space on Wang's refinement
    Liu, Huan-Wen
    Lu, Wei-Ping
    2009 INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING AND TECHNOLOGY, VOL I, PROCEEDINGS, 2009, : 243 - +
  • [8] Shape preserving fractional order KNR C1 cubic spline
    Syed Kirmani
    Norhaida binti Mohd Suaib
    Muhammad Bilal Riaz
    The European Physical Journal Plus, 134
  • [9] Shape preserving fractional order KNR C1 cubic spline
    Kirmani, Syed
    Suaib, Norhaida Binti Mohd
    Riaz, Muhammad Bilal
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (07):
  • [10] Filling n-sided regions with G 1 triangular Coons B-spline patches
    Shi, Kan-Le
    Yong, Jun-Hai
    Sun, Jia-Guang
    Paul, Jean-Claude
    Gu, He-Jin
    VISUAL COMPUTER, 2010, 26 (6-8): : 791 - 800