An Approximating-Interpolatory Subdivision Scheme. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Pure and Applied Mathematics Année : 2011

An Approximating-Interpolatory Subdivision Scheme.

(1) , (1) , (1) , (1)
1

Résumé

In the last decade, study and construction of quad/triangle subdivision schemes have attracted attention. The quad/triangle subdivision starts with a control mesh consisting of both quads and triangles and produces ner and ner meshes with quads and triangles (Fig. 1). Design- ers often want to model certain regions with quad meshes and others with triangle meshes to get better visual qual- ity of subdivision surfaces. Smoothness analysis tools exist for regular quad/triangle vertices. Moreover C1 and C2 quad/triangle schemes (for regular vertices) have been con- structed. But to our knowledge, there are no quad/triangle schemes that uni es approximating and interpolatory sub- division schemes. In this paper we introduce a new subdivision operator that uni es triangular and quadrilateral subdivision schemes. Our new scheme is a generalization of the well known Catmull- Clark and Butterfly subdivision algorithms. We show that in the regular case along the quad/triangle boundary where vertices are shared by two adjacent quads and three adjacent triangles our scheme is C2 everywhere except for ordinary Butterfly where our scheme is C1.
Fichier principal
Vignette du fichier
An_Approximating-Interpolatory_subdivision_scheme.pdf (15.8 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00639051 , version 1 (08-11-2011)

Identifiants

  • HAL Id : hal-00639051 , version 1

Citer

Yacine Boumzaid, Sandrine Lanquetin, Marc Neveu, François Destelle. An Approximating-Interpolatory Subdivision Scheme.. International Journal of Pure and Applied Mathematics, 2011, 71 (1), pp.129-147. ⟨hal-00639051⟩
206 Consultations
182 Téléchargements

Partager

Gmail Facebook Twitter LinkedIn More