Non-separable Radial Frame Multiresolution Analysis in Multidimensions and Isotropic Fast Wavelet Algorithms

Manos Papadakis; G. Gogoshin; I. A. Kakadiaris; D. J. Kouri; D. K. Huffman

doi:10.1117/12.507005

Non-separable Radial Frame Multiresolution Analysis in Multidimensions and Isotropic Fast Wavelet Algorithms

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

Research output: Contribution to journal › Conference article › peer-review

10 Scopus citations

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.

Original language	English (US)
Pages (from-to)	631-642
Number of pages	12
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5207
Issue number	2
DOIs	https://doi.org/10.1117/12.507005
State	Published - 2003
Event	Wavelets: Applications in Signal and Image Processing X - San Diego, CA, United States Duration: Aug 4 2003 → Aug 8 2003

Keywords

Frames
Non-separable multiresolution analysis
Wavelets

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.507005

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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.",

keywords = "Frames, Non-separable multiresolution analysis, Wavelets",

author = "Manos Papadakis and G. Gogoshin and Kakadiaris, {I. A.} and Kouri, {D. J.} and Huffman, {D. K.}",

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journal = "Proceedings of SPIE - The International Society for Optical Engineering",

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T1 - Non-separable Radial Frame Multiresolution Analysis in Multidimensions and Isotropic Fast Wavelet Algorithms

AU - Papadakis, Manos

AU - Gogoshin, G.

AU - Kakadiaris, I. A.

AU - Kouri, D. J.

AU - Huffman, D. K.

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - Frames

KW - Non-separable multiresolution analysis

KW - Wavelets

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M3 - Conference article

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EP - 642

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

IS - 2

T2 - Wavelets: Applications in Signal and Image Processing X

Y2 - 4 August 2003 through 8 August 2003

ER -

Non-separable Radial Frame Multiresolution Analysis in Multidimensions and Isotropic Fast Wavelet Algorithms

Abstract

Keywords

ASJC Scopus subject areas

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