A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes

Nira Dyn, David Levin, Jungho Yoon

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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 languageEnglish
Pages (from-to)173-188
Number of pages16
JournalConstructive Approximation
Volume40
Issue number2
DOIs
StatePublished - Oct 2014

Keywords

  • Asymptotic equivalence
  • Extended Chebyshev system
  • Laurent polynomial
  • Nonuniform subdivision
  • Smoothly varying scheme

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