Convergent Vector and Hermite Subdivision Schemes
β Scribed by Serge Dubuc; Jean-Louis Merrien
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 252 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0176-4276
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π SIMILAR VOLUMES
In this paper we consider functional equations of the form = Ξ±βZ s a(Ξ±) (Mβ’Ξ±), where = (Ο 1 , . . . , Ο r ) T is an r Γ 1 vector of functions on the s-dimensional Euclidean space, a(Ξ±), Ξ± β Z s , is a finitely supported sequence of r Γ r complex matrices, and M is an s Γs isotropic integer matrix su
Subdivision schemes are popular iterative processes to build graphs of functions, curves and surfaces. We analyze the 2-point Hermite C 2 subdivision scheme introduced by Merrien in [26]. For the analysis of its convergence and its smoothness properties we are concerned with the computation of the j