Constructing G1 quadratic Bezier curves with arbitrary endpoint tangent vectors

He-Jin Gu 1 Jun-Hai Yong 2 Jean-Claude Paul 3 Fuhua (frank) Cheng 4
1 Jiangxi Academy of Sciences
2 THSS - School of Software
3 CAD - Computer Aided Design
LIAMA - Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées, Inria Paris-Rocquencourt
4 University of Kentucky
Abstract : Quadratic Bézier curves are important geometric entities in many applications. However, it was often ignored by the literature the fact that a single segment of a quadratic Bézier curve may fail to fit arbitrary endpoint unit tangent vectors. The purpose of this paper is to provide a solution to this problem, i.e., constructing G1 quadratic Bézier curves satisfying given endpoint (positions and arbitrary unit tangent vectors) conditions. Examples are given to illustrate the new solution and to perform comparison between the G1 quadratic Bézier cures and other curve schemes such as the composite geometric Hermite curves and the biarcs.
Type de document :
Communication dans un congrès
The 11th IEEE International Conference on CAD/Graphics -CAD/GRAPHICS 2009, Aug 2009, Yellow Mountain City, China. pp.263-267, 2009, 〈10.1109/CADCG.2009.5246892〉
Liste complète des métadonnées

Littérature citée [10 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/inria-00517260
Contributeur : Thss Tsinghua <>
Soumis le : mardi 14 septembre 2010 - 08:21:38
Dernière modification le : vendredi 25 mai 2018 - 12:02:04
Document(s) archivé(s) le : mercredi 15 décembre 2010 - 02:32:52

Fichier

Gu2009a_124-345-1-PB.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

INRIA | INRA | CIRAD | LIAMA

Citation

He-Jin Gu, Jun-Hai Yong, Jean-Claude Paul, Fuhua (frank) Cheng. Constructing G1 quadratic Bezier curves with arbitrary endpoint tangent vectors. The 11th IEEE International Conference on CAD/Graphics -CAD/GRAPHICS 2009, Aug 2009, Yellow Mountain City, China. pp.263-267, 2009, 〈10.1109/CADCG.2009.5246892〉. 〈inria-00517260〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

371

Téléchargements de fichiers

416

Contact


archive-ouverte@inria.fr