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Article dans une revue
An Approximating-Interpolatory Subdivision Scheme.
Abstract : 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.
Littérature citée [10 références]
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-00639051
Contributeur : Sandrine Lanquetin <>
Soumis le : mardi 8 novembre 2011 - 11:42:44
Dernière modification le : vendredi 17 juillet 2020 - 14:54:04
Archivage à long terme le : : jeudi 9 février 2012 - 02:30:58
Contributeur : Sandrine Lanquetin <>
Soumis le : mardi 8 novembre 2011 - 11:42:44
Dernière modification le : vendredi 17 juillet 2020 - 14:54:04
Archivage à long terme le : : jeudi 9 février 2012 - 02:30:58
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