Properties of dual pseudo-splines

Bin Dong, Nira Dyn, Kai Hormann

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Dual pseudo-splines are a new family of refinable functions that generalize both the even degree B-splines and the limit functions of the dual 2n-point subdivision schemes. They were introduced by Dyn et al. (2008) [10] as limits of subdivision schemes. In Dyn et al. (2008) [10], simple algebraic considerations are needed to derive the approximation order of the members of this family. In this paper, we use Fourier analysis to derive further important properties such as regularity, stability, convergence, and linear independence.

Original languageEnglish (US)
Pages (from-to)104-110
Number of pages7
JournalApplied and Computational Harmonic Analysis
Volume29
Issue number1
DOIs
StatePublished - Jul 2010
Externally publishedYes

Fingerprint

Subdivision Scheme
Splines
Spline
Refinable Functions
Linear independence
Fourier analysis
Order of Approximation
Fourier Analysis
Stability and Convergence
B-spline
Regularity
Generalise
Family

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Properties of dual pseudo-splines. / Dong, Bin; Dyn, Nira; Hormann, Kai.

In: Applied and Computational Harmonic Analysis, Vol. 29, No. 1, 07.2010, p. 104-110.

Research output: Contribution to journalArticle

Dong, Bin ; Dyn, Nira ; Hormann, Kai. / Properties of dual pseudo-splines. In: Applied and Computational Harmonic Analysis. 2010 ; Vol. 29, No. 1. pp. 104-110.
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