Nonseparable radial frame multiresolution analysis in multidimensions and isotropic fast wavelet algorithms

Manos Papadakis; G. Gogoshin; Ioannis A. Kakadiaris; Donald J. Kouri; David K. Hoffman

doi:10.1117/12.507005

13 November 2003 Nonseparable radial frame multiresolution analysis in multidimensions and isotropic fast wavelet algorithms

Manos Papadakis, G. Gogoshin, Ioannis A. Kakadiaris, Donald J. Kouri, David K. Hoffman

Author Affiliations +

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.507005
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

In this paper we present a non-separable multiresolution structure based on frames which is defined by radial scaling functions of the form of the Shannon scaling function. 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 great variety of dilation matrices.

Citation Download Citation

Manos Papadakis, G. Gogoshin, Ioannis A. Kakadiaris, Donald J. Kouri, and David K. Hoffman "Nonseparable radial frame multiresolution analysis in multidimensions and isotropic fast wavelet algorithms", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.507005

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