Rational parametrization of surfaces

被引:66
|
作者
Schicho, J [1 ]
机构
[1] Johannes Kepler Univ Linz, Symbol Computat Res Inst, A-4040 Linz, Austria
基金
奥地利科学基金会;
关键词
D O I
10.1006/jsco.1997.0199
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The parametrization problem asks for a parametrization of an implicitly given surface, in terms bf rational functions in two variables. We give an algorithm that decides if such a parametric representation exists, based on Castelnuovo's rationality criterion. If the answer is yes, then we compute such a parametric representation, using the concept of adjoint functions. (C) 1998 Academic Press.
引用
收藏
页码:1 / 29
页数:29
相关论文
共 50 条
  • [1] Covering Rational Surfaces with Rational Parametrization Images
    Caravantes, Jorge
    Sendra, J. Rafael
    Sevilla, David
    Villarino, Carlos
    [J]. MATHEMATICS, 2021, 9 (04) : 1 - 15
  • [2] Rational parametrization of fat quadric surfaces
    Guo, Minghao
    Wu, Tieru
    Zhang, Shugong
    [J]. Journal of Information and Computational Science, 2014, 11 (10): : 3613 - 3620
  • [3] Determination and(Re)Parametrization of Rational Developable Surfaces
    SHEN Liyong
    PREZ-DíAZ Sonia
    [J]. Journal of Systems Science & Complexity, 2015, 28 (06) : 1426 - 1439
  • [4] Determination and (re)parametrization of rational developable surfaces
    Shen Liyong
    Perez-Diaz, Sonia
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2015, 28 (06) : 1426 - 1439
  • [5] Determination and (re)parametrization of rational developable surfaces
    Liyong Shen
    Sonia Pérez-Díaz
    [J]. Journal of Systems Science and Complexity, 2015, 28 : 1426 - 1439
  • [6] Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
    Cho, HC
    Choi, HI
    Kwon, SH
    Lee, DS
    Wee, NS
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2004, 21 (04) : 327 - 339
  • [7] Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces
    Guo, Minghao
    Wu, Tieru
    Zhang, Shugong
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [8] Almost rotation-minimizing rational parametrization of canal surfaces
    Choi, HI
    Kwon, SH
    Wee, NS
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2004, 21 (09) : 859 - 881
  • [9] A Lie algebra method for rational parametrization of Severi-Brauer surfaces
    de Graaf, Willem A.
    Harrison, Michael
    Pilnikova, Jana
    Schicho, Josef
    [J]. JOURNAL OF ALGEBRA, 2006, 303 (02) : 514 - 529
  • [10] AUTOMATIC PARAMETRIZATION OF RATIONAL CURVES AND SURFACES .2. CUBICS AND CUBICOIDS
    ABHYANKAR, SS
    BAJAJ, C
    [J]. COMPUTER-AIDED DESIGN, 1987, 19 (09) : 499 - 502