Curvature of singular Bezier curves and surfaces

被引：4
|
作者：
Sederberg, Thomas W. [1 ]
Lin, Hongwei [2 ]
Li, Xin [3 ]
机构：
[1] Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA
[2] Zhejiang Univ, State Key Lab CAD&CG, Hangzhou 310058, Zhejiang, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2011年 / 28卷 / 04期
关键词：
Curvature; Singular points; Bezier curves; Bezier surface patches; PATCHES;
D O I：
10.1016/j.cagd.2011.03.004
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper presents a general approach for finding the limit curvature at a singular endpoint of a rational Bezier curve and the singular corner of a rational Bezier surface patch. Conditions for finite Gaussian and mean limit curvatures are expressed in terms of the rank of a matrix. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：233 / 244
页数：12
相关论文
共 50 条
  • [21] Approximation of conic sections by curvature continuous quartic Bezier curves
    Ahn, Young Joon
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (07) : 1986 - 1993
  • [22] Bezier Curves and Surfaces Based on Modified Bernstein Polynomials
    Khan, Kh
    Lobiyal, D. K.
    Kilicman, A.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2019, 9 (01): : 3 - 21
  • [23] REPRESENTATION OF RATIONAL BEZIER CURVES AND SURFACES BY RECURSIVE ALGORITHMS
    PIEGL, L
    COMPUTER-AIDED DESIGN, 1986, 18 (07) : 361 - 366
  • [24] Bezier curves approximation of triangularized surfaces using SVG
    Messina, G.
    Ingra, E.
    Battiato, S.
    Di Blasi, G.
    INTERNET IMAGING VII, 2006, 6061
  • [25] Canal surfaces as Bezier curves using mass points
    Garnier, Lionel
    Becar, Jean-Paul
    Druoton, Lucie
    COMPUTER AIDED GEOMETRIC DESIGN, 2017, 54 : 15 - 34
  • [26] Flatness criteria for subdivision of rational Bezier curves and surfaces
    Dyllong, E
    Luther, W
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 : S713 - S714
  • [27] Implicit matrix representations of rational Bezier curves and surfaces
    Laurent, Buse
    COMPUTER-AIDED DESIGN, 2014, 46 : 14 - 24
  • [28] The curvature of minimal surfaces in singular spaces
    Mese, C
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2001, 9 (01) : 3 - 34
  • [29] Curvature based sampling of curves and surfaces
    Pagani, Luca
    Scott, Paul J.
    COMPUTER AIDED GEOMETRIC DESIGN, 2018, 59 : 32 - 48
  • [30] Curvature formulas for implicit curves and surfaces
    Goldman, R
    COMPUTER AIDED GEOMETRIC DESIGN, 2005, 22 (07) : 632 - 658
12345