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Inversion, degree, reparametrization and implicitization of rational planar curves using µ-basis

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
    • بيانات النشر:
      Elsevier
    • الموضوع:
      2021
    • Collection:
      e_Buah - Biblioteca Digital de la Universidad de Alcalá
    • نبذة مختصرة :
      The µ-basis of a rational curve/surface is a new algebraic tool which plays an important role in connecting the rational parametric form and the implicit form of a rational curve/surface. However, most results for µ-bases are presented for proper rational parametrizations. In this paper we consider the µ-basis for an improper rational planar curve. Based on the known properties and new results, we design two new proper reparametrization algorithms using µ-basis. The inversion, degree of the induced rational map and implicitization formulas are also derived. ; Agencia Estatal de Investigación
    • File Description:
      application/pdf
    • ISSN:
      0167-8396
    • Relation:
      https://doi.org/10.1016/j.cagd.2021.101957; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/; Pérez Díaz, S. & Shen, L.Y. 2021, “Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis”, Computer Aided Geometric Design, vol. 84, art. no. 101957.; http://hdl.handle.net/10017/49535; AR/0000036270; Computer Aided Geometric Design; 84
    • الرقم المعرف:
      10.1016/j.cagd.2021.101957
    • Rights:
      Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) ; © 2021 Elsevier ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.15E653D7