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Article Dans Une Revue Computer Aided Geometric Design Année : 2010

Matrix-based Implicit Representations of Rational Algebraic Curves and Applications

Résumé

Given a parameterization of an algebraic rational curve in a projective space of arbitrary dimension, we introduce and study a new implicit representation of this curve which consists in the locus where the rank of a single matrix drops. Then, we illustrate the advantages of this representation by addressing several important problems of Computer Aided Geometric Design: The point-on-curve and inversion problems, the computation of singularities and the intersection problem between two rational curves.
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Dates et versions

inria-00468964 , version 1 (01-04-2010)
inria-00468964 , version 2 (09-09-2010)

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Citer

Laurent Busé, Thang Luu Ba. Matrix-based Implicit Representations of Rational Algebraic Curves and Applications. Computer Aided Geometric Design, 2010, 27 (9), pp.681-699. ⟨10.1016/j.cagd.2010.09.006⟩. ⟨inria-00468964v2⟩
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