Abstract
This paper presents a new method for the analysis of convergence and smoothness of univariate nonuniform subdivision schemes. The analysis involves ideas from the theory of asymptotically equivalent subdivision schemes and nonuniform Laurent polynomial representation together with a new perturbation result. Application of the new method is presented for the analysis of interpolatory subdivision schemes based upon extended Chebyshev systems and for a class of smoothly varying schemes.
| Original language | English |
|---|---|
| Pages (from-to) | 173-188 |
| Number of pages | 16 |
| Journal | Constructive Approximation |
| Volume | 40 |
| Issue number | 2 |
| DOIs | |
| State | Published - Oct 2014 |
Bibliographical note
Publisher Copyright:© 2014, Springer Science+Business Media New York.
Keywords
- Asymptotic equivalence
- Extended Chebyshev system
- Laurent polynomial
- Nonuniform subdivision
- Smoothly varying scheme