A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes
- 주제(키워드) Nonuniform subdivision , Laurent polynomial , Asymptotic equivalence , Extended Chebyshev system , Smoothly varying scheme
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER
- 발행년도 2014
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000108777
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00365-014-9247-1
초록/요약
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.
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