Treffer: Conversion d'un carreau de Bézier rationnel biquadratique en un carreau de cyclide de Dupin quartique
Title:
Conversion d'un carreau de Bézier rationnel biquadratique en un carreau de cyclide de Dupin quartique
Authors:
Source:
Informatique graphique : Synthèse d'imagesTSI. Technique et science informatiques. 25(6):709-734
Publisher Information:
Paris: Lavoisier, 2006.
Publication Year:
2006
Physical Description:
print, 2 p.1/4
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Reconnaissance des formes. Traitement numérique des images. Géométrie algorithmique, Pattern recognition. Digital image processing. Computational geometry, Ajustement courbe, Curve fitting, Ajustamiento curva, Courbe Bézier, Bézier curve, Curva Bézier, Géométrie algébrique, Algebraic geometry, Geometría algebraica, Interpolation polynomiale, Polynomial interpolation, Interpolación polinomial, Interpolation rationnelle, Rational interpolation, Interpolación racional, Modèle géométrique, Geometrical model, Modelo geométrico, Problème inverse, Inverse problem, Problema inverso, Propriété surface, Surface properties, Propiedad superficie, Quartique, Quartics, Quartico, Dupin cyclide, conversion, rational Bézier curves and patches of degree 2
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
French
Author Affiliations:
Laboratoire LE2i, Université de Bourgogne, BP 47870, 21078 Dijon, France
ISSN:
0752-4072
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.18317191
Database:
PASCAL Archive
Weitere Informationen
Dupin cyclides were introduced in 1822 by the French mathematician C-P. Dupin. They are algebraic surfaces of degree 3 or 4. The set of geometric properties of these surfaces has encouraged an increasing interest in using them for geometric modeling. A couple of algorithmes is already developed to convert a Dupin cyclide patch into a rational biquadratic Bézier patch. In this paper, we consider the inverse problem: we investigate the conditions of convertibility of a Bézier patch into a Dupin cyclide one, and we present a conversion algorithm to compute the parameters of a Dupin cyclide with the boundary of the patch that corresponds to the given Bézier patch.