Regularity of multivariate vector subdivision schemes
โ Scribed by Maria Charina; Costanza Conti; Thomas Sauer
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 305 KB
- Volume
- 39
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we consider functional equations of the form = ฮฑโZ s a(ฮฑ) (Mโขฮฑ), where = (ฯ 1 , . . . , ฯ r ) T is an r ร 1 vector of functions on the s-dimensional Euclidean space, a(ฮฑ), ฮฑ โ Z s , is a finitely supported sequence of r ร r complex matrices, and M is an s รs isotropic integer matrix su
The objective of this paper is to introduce a direct approach for generating local averaging rules for both the โ 3 and 1-to-4 vector subdivision schemes for computer-aided design of smooth surfaces. Our innovation is to directly construct refinable bivariate spline function vectors with minimum sup