Nonseparable radial frame multiresolution analysis in multidimensions

Manos Papadakis, G. Gogoshin, I. A. Kakadiaris, D. J. Kouri, D. K. Hoffman

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


In this article we present a nonseparable multiresolution structure based on frames which is defined by radial frame scaling functions. The Fourier transform of these functions is the indicator (characteristic) function of a measurable set. We also construct the resulting frame multiwavelets, which can be isotropic as well. Our construction can be carried out in any number of dimensions and for a big variety of dilation matrices.

Original languageEnglish (US)
Pages (from-to)907-928
Number of pages22
JournalNumerical Functional Analysis and Optimization
Issue number7-8
StatePublished - 2003


  • Frames
  • Nonseparable multiresolution analysis
  • Wavelets

ASJC Scopus subject areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization


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