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

Laurent Busé (1) , Carlos d'Andrea (2)

1 GALAAD - Geometry, algebra, algorithms
2 Departament d'Algebra i Geometria

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

Mots clés: Rational Maps; Parameterizations; Inversion Matrices; Implicitization Matrices

Domaines: Calcul formel [cs.SC]; Géométrie algébrique [math.AG]

Laurent Busé, Carlos d'Andrea. A matrix-based approach to properness and inversion problems for rational surfaces. Applicable Algebra in Engineering, Communication and Computing, 2006, 17 (6), pp.393--407. ⟨inria-00107307⟩