Computing Birational Polynomial Surface Parametrizations without Base Points

Sonia Pérez-Díaz and Juan Rafael Sendra
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Sonia Pérez-Díaz: Departamento de Física y Matemáticas, Universidad de Alcalá, E-28871 Madrid, Spain
Juan Rafael Sendra: Departamento de Física y Matemáticas, Universidad de Alcalá, E-28871 Madrid, Spain

Mathematics, 2020, vol. 8, issue 12, 1-28

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.

Keywords: proper (i.e., birational) parametrization; polynomial parametrization; base point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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