Corner cutting curves and a new characterization of Bezier and B-spline curves

被引：9
|
作者：
Aumann, G
机构：
[1] Mathematisches Institut II, Universität Karlsruhe
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1997年 / 14卷 / 05期
关键词：
corner cutting; convex hull property; interpolation; contact; Bezier curves; B-spline curves;
D O I：
10.1016/S0167-8396(96)00039-8
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We call a curve c corner cutting, if each single point of c can be received from a given polygon by a finite corner cutting process. We prove some results about these curves, especially about interpolation and contact. The obtained results will give a new geometric characterization of Bezier and B-spline curves. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：449 / 474
页数：26
相关论文
共 50 条
  • [41] PARAMETRIZATION AND SHAPE OF B-SPLINE CURVES FOR CAD
    HARTLEY, PJ
    JUDD, CJ
    COMPUTER-AIDED DESIGN, 1980, 12 (05) : 235 - 238
  • [42] Reconstruction of symmetric B-spline curves and surfaces
    Zhu, Weidong
    Ke, Yinglin
    Chinese Journal of Mechanical Engineering (English Edition), 2007, 20 (04): : 112 - 116
  • [43] Approximate computation of curves on B-spline surfaces
    Yang, Yi-Jun
    Cao, Song
    Yong, Jun-Hai
    Zhang, Hui
    Paul, Jean-Claude
    Sun, Jia-Guang
    Gu, He-Jin
    COMPUTER-AIDED DESIGN, 2008, 40 (02) : 223 - 234
  • [44] Approximate merging of B-spline curves and surfaces
    Chen Jun
    Wang Guo-jin
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (04) : 429 - 436
  • [45] Increasing the degree of closed B-spline curves
    Juhász, I
    Bancsik, Z
    MATHEMATICAL AND COMPUTER MODELLING, 2003, 38 (7-9) : 877 - 882
  • [46] On parametric smoothness of generalised B-spline curves
    Popiel, Tomasz
    COMPUTER AIDED GEOMETRIC DESIGN, 2006, 23 (08) : 655 - 668
  • [47] CTH B-spline curves and its applications
    Xie, Jin
    Tan, Jieqing
    Li, Shengfeng
    ANNALES MATHEMATICAE ET INFORMATICAE, 2010, 37 : 177 - 189
  • [48] Optimal generation of cam curves with B-spline
    Lin, Chang-Jun
    Qiu, Hua
    Ozaki, Hiroaki
    Shimogawa, Tetsuji
    Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, 2002, 68 (02): : 708 - 711
  • [49] Using B-spline curves for hand recognition
    Ma, YL
    Pollick, F
    Hewitt, WT
    PROCEEDINGS OF THE 17TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 3, 2004, : 274 - 277
  • [50] Approximation with rational B-spline curves and surfaces
    Elsasser, B
    MATHEMATICAL METHODS FOR CURVES AND SURFACES II, 1998, : 87 - 94
12345