%0 Journal Article 
%A Pérez Díaz, Sonia
%A Shen, Li-Yong
%T Inversion, degree, reparametrization and implicitization of rational planar curves using µ-basis
%D 2021
%@ 0167-8396
%U http://hdl.handle.net/10017/49535
%X 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.
%K µ-basis
%K Inversion
%K Rational parametrization
%K Algebraic curves
%K Proper reparametrization
%K Implicitization
%K Fibre
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala