Approximation by planar elastic curves

被引:0
|
作者
David Brander
Jens Gravesen
Toke Bjerge Nørbjerg
机构
[1] Technical University of Denmark,Department of Applied Mathematics and Computer Science
来源
关键词
Euler elastica; Splines; Approximation; 41A15; 65D07;
D O I
暂无
中图分类号
学科分类号
摘要
We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.
引用
收藏
页码:25 / 43
页数:18
相关论文
共 50 条
  • [41] EFFICIENT ALGORITHM FOR PIECEWISE LINEAR-APPROXIMATION OF PLANAR CURVES
    WILLIAMS, CM
    COMPUTER GRAPHICS AND IMAGE PROCESSING, 1978, 8 (02): : 286 - 293
  • [42] Landmark-Constrained Elastic Shape Analysis of Planar Curves
    Strait, Justin
    Kurtek, Sebastian
    Bartha, Emily
    MacEachern, Steven N.
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2017, 112 (518) : 521 - 533
  • [43] Fast Approximation of Distance Between Elastic Curves using Kernels
    Tabia, Hedi
    Picard, David
    Laga, Hamid
    Gosselin, Philippe-Henri
    PROCEEDINGS OF THE BRITISH MACHINE VISION CONFERENCE 2013, 2013,
  • [44] Globally certified G1 approximation of planar algebraic curves
    Wang, Xin-Yu
    Shen, Li -Yong
    Yuan, Chun-Ming
    Perez-Diaz, Sonia
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 436
  • [45] BOUNDED STRAIGHT-LINE APPROXIMATION OF DIGITIZED PLANAR CURVES AND LINES
    WILLIAMS, CM
    COMPUTER GRAPHICS AND IMAGE PROCESSING, 1981, 16 (04): : 370 - 381
  • [46] On L2 approximation by planar Pythagorean-hodograph curves
    Farouki, Rida T.
    Knez, Marjeta
    Vitrih, Vito
    Zagar, Emil
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 233 : 296 - 310
  • [47] POLYGONAL-APPROXIMATION OF PLANAR CURVES IN THE L1 NORM
    ABDELMALEK, NN
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1986, 17 (11) : 1601 - 1608
  • [48] Polygonal approximation of digital planar curves through break point suppression
    Carmona-Poyato, A.
    Madrid-Cuevas, F. J.
    Medina-Carnicer, R.
    Munoz-Salinas, R.
    PATTERN RECOGNITION, 2010, 43 (01) : 14 - 25
  • [49] Optimal polygonal approximation of digital planar curves using meta heuristics
    Zhang, HB
    Guo, JJ
    PATTERN RECOGNITION, 2001, 34 (07) : 1429 - 1436
  • [50] Approximate implicitization of planar curves by piecewise rational approximation of the distance function
    Mohamed Shalaby
    Bert Jüttler
    Josef Schicho
    Applicable Algebra in Engineering, Communication and Computing, 2007, 18 : 71 - 89