Cardinal B-spline dictionaries on a compact interval

Miroslav Andrle, Laura Rebollo-Neira*

*Corresponding author for this work

Research output: Contribution to journalLetter, comment or opinion

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

Keywords

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

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