The intersection problems of parametric curve and surfaces by means of matrix based implicit representations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2013

The intersection problems of parametric curve and surfaces by means of matrix based implicit representations

Abstract

In this paper, we introduce and study a new implicit representation of parametric curves and parametric surfaces . We show how these representations which we will call the matrix implied, establish a bridge between geometry and linear algebra, thus opening the possibility of a more robust digital processing. The contribution of this approach is discussed and illustrated on important issues of geometric modeling and Computer Aided Geometric Design (CAGD) : The curve/curve, urve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities points.
Fichier principal
Vignette du fichier
SAGA_Luu_Ba_Thang.pdf (255.08 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00809325 , version 1 (09-04-2013)
hal-00809325 , version 2 (17-04-2013)

Identifiers

  • HAL Id : hal-00809325 , version 1

Cite

Ba Thang Luu. The intersection problems of parametric curve and surfaces by means of matrix based implicit representations. 2013. ⟨hal-00809325v1⟩
136 View
636 Download

Share

Gmail Facebook X LinkedIn More