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Computing Birational Polynomial Surface Parametrizations without Base Points

Author

Listed:
  • Sonia Pérez-Díaz

    (Departamento de Física y Matemáticas, Universidad de Alcalá, E-28871 Madrid, Spain
    These authors contributed equally to this work.)

  • Juan Rafael Sendra

    (Departamento de Física y Matemáticas, Universidad de Alcalá, E-28871 Madrid, Spain
    These authors contributed equally to this work.)

Abstract

In this paper, we present an algorithm for reparametrizing birational surface parametrizations into birational polynomial surface parametrizations without base points, if they exist. For this purpose, we impose a transversality condition to the base points of the input parametrization.

Suggested Citation

  • Sonia Pérez-Díaz & Juan Rafael Sendra, 2020. "Computing Birational Polynomial Surface Parametrizations without Base Points," Mathematics, MDPI, vol. 8(12), pages 1-28, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2224-:d:461881
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