Cardinal B-spline dictionaries on a compact interval

Miroslav Andrle, Laura Rebollo-Neira*

*Corresponding author for this work

Research output: Contribution to journalLetter

Abstract

A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space. This implies that cardinal spline spaces on a compact interval can be spanned by dictionaries of cardinal B-spline functions of broader support than the corresponding basis functions.

Original languageEnglish
Pages (from-to)336-346
Number of pages11
JournalApplied and Computational Harmonic Analysis
Volume18
Issue number3
DOIs
Publication statusPublished - 1 May 2005

Fingerprint

Glossaries
B-spline
Splines
Spline
B-spline Function
Interval
Cardinal Functions
Knot
Basis Functions
Prototype
Imply
Dictionary

Keywords

  • B-spline dictionaries
  • Cardinal spline spaces
  • Non-linear approximation
  • Sparse representation

Cite this

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Cardinal B-spline dictionaries on a compact interval. / Andrle, Miroslav; Rebollo-Neira, Laura.

In: Applied and Computational Harmonic Analysis, Vol. 18, No. 3, 01.05.2005, p. 336-346.

Research output: Contribution to journalLetter

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AU - Rebollo-Neira, Laura

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KW - B-spline dictionaries

KW - Cardinal spline spaces

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