Cubic B-spline curve approximation by curve unclamping

Xiao-Diao Chen 1 Weiyin Ma 2 Jean-Claude Paul 3, 4
3 CAD - Computer Aided Design
LIAMA - Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées, Inria Paris-Rocquencourt
Abstract : A new approach for cubic B-spline curve approximation is presented. The method produces an approximation cubic B-spline curve tangent to a given curve at a set of selected positions, called tangent points, in a piecewise manner starting from a seed segment. A heuristic method is provided to select the tangent points. The first segment of the approximation cubic B-spline curve can be obtained using an inner point interpolation method, least-squares method or geometric Hermite method as a seed segment. The approximation curve is further extended to other tangent points one by one by curve unclamping. New tangent points can also be added, if necessary, by using the concept of the minimum shape deformation angle of an inner point for better approximation. Numerical examples show that the new method is effective in approximating a given curve and is efficient in computation.
Type de document :
Article dans une revue
Computer-Aided Design, Elsevier, 2010, 42 (6), pp.523-534. 〈10.1016/j.cad.2010.01.008〉
Liste complète des métadonnées

Littérature citée [26 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00519208
Contributeur : Thss Tsinghua <>
Soumis le : dimanche 19 septembre 2010 - 03:21:21
Dernière modification le : jeudi 11 janvier 2018 - 06:21:19
Document(s) archivé(s) le : lundi 20 décembre 2010 - 02:24:52

Fichier

Xiao-DiaoChen2010a.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Xiao-Diao Chen, Weiyin Ma, Jean-Claude Paul. Cubic B-spline curve approximation by curve unclamping. Computer-Aided Design, Elsevier, 2010, 42 (6), pp.523-534. 〈10.1016/j.cad.2010.01.008〉. 〈inria-00519208〉

Partager

Métriques

Consultations de la notice

346

Téléchargements de fichiers

875