Triangular G1 interpolation by 4-splitting domain triangles

Stefanie Hahmann 1, 2, * Georges-Pierre Bonneau 1, 2, 3
* Auteur correspondant
3 EVASION - Virtual environments for animation and image synthesis of natural objects
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : A piecewise quintic G1 spline surface interpolating the vertices of a triangular surface mesh of arbitrary topological type is presented. The surface has an explicit triangular Bezier representation, is affine invariant and has local support. The twist compatibility problem which arises when joining an even number of polynomial patches G1 continuously around a common vertex is solved by constructing C2-consistent boundary curves. Piecewise C1 boundary curves and a regular 4-split of the domain triangle make shape parameters available for controlling locally the boundary curves. A small number of free inner control points can be chosen for some additional local shape effects.
Type de document :
Article dans une revue
Computer Aided Geometric Design, Elsevier, 2000, 17, pp.731-757
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00319653
Contributeur : Stefanie Hahmann <>
Soumis le : mardi 9 septembre 2008 - 00:09:44
Dernière modification le : mercredi 10 juin 2009 - 08:19:44
Document(s) archivé(s) le : jeudi 3 juin 2010 - 21:04:47

Fichier

HB00-cagd.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00319653, version 1

Collections

IMAG | INRIA | UGA

Citation

Stefanie Hahmann, Georges-Pierre Bonneau. Triangular G1 interpolation by 4-splitting domain triangles. Computer Aided Geometric Design, Elsevier, 2000, 17, pp.731-757. <hal-00319653>

Partager

Métriques

Consultations de
la notice

432

Téléchargements du document

188