Algebraic properties of discrete box splines
โ Scribed by Wolfgang Dahmen; Charles A. Micchelli
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 669 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper builds upon the L p -stability results for discrete orthogonal projections on the spaces S h of continuous splines of order r obtained by R. D. Grigorieff and I. H. Sloan in (1998, Bull. Austral. Math. Soc. 58, 307 332). Properties of such projections were proved with a minimum of assumpt
Suppose that S is a linear combination of integer translates of a box spline on a 3-direction mesh that is restricted to a bounded region. The paper shows that the surface area of the control net decreases under subdivision and converges linearly to the surface area of S. A lower bound is also given