Adaptive multivariate piecewise polynomial approximation

Shai Dekel*, Dany Leviatan

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

We survey some recent results in the theory of multivariate piecewise polynomial approximation. In the univariate case this method is equivalent to Wavelet approximation, but in the multivariate case this is no longer true, since this form of approximation is more adaptive to the geometry of the singularities of the function to be approximated. The theory possibly has applications in image compression.

Original languageEnglish
Pages (from-to)125-133
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5207
Issue number1
DOIs
StatePublished - 2003
EventWavelets: Applications in Signal and Image Processing X - San Diego, CA, United States
Duration: 4 Aug 20038 Aug 2003

Keywords

  • Multivariate polynomial approximation
  • Nonlinear approximation
  • Piecewise polynomial approximation

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