✦ LIBER ✦
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
✍ Scribed by A. Levin
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 211 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
✦ Synopsis
We study the necessary and sufficient conditions for the generation of polynomials by stationary subdivision schemes, and we show how to derive appropriate quasi-interpolation rules that have the optimal approximation order. We show that these conditions hold in the context of non-uniform subdivision as well, and we demonstrate how they can be used for the construction of stationary non-uniform subdivision schemes that have a prescribed approximation power.