Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

被引：1
|
作者：
Zhang, Xiaolei [1 ]
Wu, Jinming [1 ]
机构：
[1] Zhejiang Gongshang Univ, Coll Stat & Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷
关键词：
Algebra;
D O I：
10.1155/2009/327457
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global G(2) continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given. Several examples are provided to prove that the proposed method is flexible and efficient. Copyright (C) 2009 X. Zhang and J. Wu.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Quadratic Algebraic Curve Approximate Implicitization for Planar Parametric Curves
    DING Youdong LI Min HUA Xuanji School of Computer Engineering and Shanghai University Shanghai China
    Department of Mathematics Fudan University Shanghai China
    Journal of Shanghai University, 2000, (S1) : 16 - 20
  • [2] A new approach for approximate implicitization of parametric curves
    Jinming Wu
    Xiaolei Zhang
    Computational and Applied Mathematics, 2014, 33 : 399 - 409
  • [3] A new approach for approximate implicitization of parametric curves
    Wu, Jinming
    Zhang, Xiaolei
    COMPUTATIONAL & APPLIED MATHEMATICS, 2014, 33 (02): : 399 - 409
  • [4] Approximate implicitization using monoid curves and surfaces
    Sederberg, TW
    Zheng, JM
    Klimaszewski, K
    Dokken, T
    GRAPHICAL MODELS AND IMAGE PROCESSING, 1999, 61 (04): : 177 - 198
  • [5] Quadratic approximation to plane parametric curves and its application in approximate implicitization
    Li, Ming
    Gao, Xiao-Shan
    Chou, Shang-Ching
    VISUAL COMPUTER, 2006, 22 (9-11): : 906 - 917
  • [6] Quadratic approximation to plane parametric curves and its application in approximate implicitization
    Ming Li
    Xiao-Shan Gao
    Shang-Ching Chou
    The Visual Computer, 2006, 22 : 906 - 917
  • [7] NUMERICALLY STABLE IMPLICITIZATION OF CUBIC CURVES
    HOBBY, JD
    ACM TRANSACTIONS ON GRAPHICS, 1991, 10 (03): : 255 - 296
  • [8] Adaptive Approximate Implicitization of Planar Parametric Curves via Asymmetric Gradient Constraints
    Guo, Minghao
    Gao, Yan
    SYMMETRY-BASEL, 2023, 15 (09):
  • [9] Implicitization of parametric curves by matrix annihilation
    Yalcin, H
    Unel, M
    Wolovich, W
    2002 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL III, PROCEEDINGS, 2002, : 889 - +
  • [10] Implicitization of Parametric Curves by Matrix Annihilation
    Hulya Yalcin
    Mustafa Unel
    William Wolovich
    International Journal of Computer Vision, 2003, 54 : 105 - 115
12345