Quadratic Algebraic Curve Approximate Implicitization for Planar Parametric Curves

被引:0
|
作者
DING Youdong LI Min HUA Xuanji School of Computer Engineering and Shanghai University Shanghai China [200072 ]
Department of Mathematics Fudan University Shanghai China [200433 ]
机构
关键词
D O I
暂无
中图分类号
O242 [数学模拟、近似计算];
学科分类号
摘要
In this paper, a type of preserving GC1 quadratic algebraic polynomial curve approximate implicitization method for parametric curves is presented The coefficients of the implicit polynomial are determined by the GC1 continuity conditions and an optimal function's minimization Numerical examples show that this method is effective
引用
收藏
页码:16 / 20
页数:5
相关论文
共 50 条
  • [31] Tracing a planar algebraic curve
    Chen F.
    Feng Y.
    Kozak J.
    Applied Mathematics-A Journal of Chinese Universities, 1997, 12 (1) : 15 - 24
  • [32] TRACING A PLANAR ALGEBRAIC CURVE
    CHEN FALAI
    Applied Mathematics:A Journal of Chinese Universities, 1997, (01) : 17 - 26
  • [33] On the Topology of Planar Algebraic Curves
    Cheng, Jinsan
    Lazard, Sylvain
    Penaranda, Luis
    Pouget, Marc
    Rouillier, Fabrice
    Tsigaridas, Elias
    PROCEEDINGS OF THE TWENTY-FIFTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY (SCG'09), 2009, : 361 - 370
  • [34] Quadratic differentials of real algebraic curves
    Solynin, Alexander
    Solynin, Andrey
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (01)
  • [35] Parametrization of approximate algebraic curves by lines
    Pérez-Diaz, S
    Sendra, J
    Sendra, JR
    THEORETICAL COMPUTER SCIENCE, 2004, 315 (2-3) : 627 - 650
  • [36] AN ALGEBRAIC APPROACH TO QUADRATIC PARAMETRIC PROCESSES
    PRANTS, SV
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (17): : 3457 - 3462
  • [37] Approximate implicitization of parametric surfaces by using compactly supported radial basis functions
    Wu, Jinming
    Wang, Renhong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (12) : 3064 - 3069
  • [38] Piecewise parametric approximations for algebraic curves
    Waggenspack Jr., Warren N.
    Anderson, David C.
    Computer Aided Geometric Design, 1989, 6 (01) : 33 - 53
  • [39] Dynamic models of planar algebraic curves
    Unel, M
    Ghosh, BK
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1304 - 1309
  • [40] On the complexity of computing with planar algebraic curves
    Kobel, Alexander
    Sagraloff, Michael
    JOURNAL OF COMPLEXITY, 2015, 31 (02) : 206 - 236