A matrix-based approach to properness and inversion problems for rational surfaces

Authors:
Laurent Busé;Carlos D’Andrea
Affiliations:
INRIA, B.P. 93, 2004 route des Lucioles, 06902, Sophia-Antipolis Cedex, France;Universitat de Barcelona, Departament d’Àlgebra i Geometria, Facultat de Matemàtiques, B.P. 93, Gran Via de les Corts Catalanes, 585 08007, Barcelona, Spain
Venue:
Applicable Algebra in Engineering, Communication and Computing
Year:
2006

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Abstract

We present a matrix-based approach for deciding if the parameterization of an algebraic space surface is invertible or not, and for computing the inverse of the parametrization if it exists.