DMCA
Multifrequency channel decompositions of images and wavelet models (1989)
| Venue: | IEE Transactions on Acoustics, Speech And Signal Processing |
| Citations: | 344 - 0 self |
BibTeX
@INPROCEEDINGS{Mallat89multifrequencychannel,
author = {Stephane G Mallat},
title = {Multifrequency channel decompositions of images and wavelet models},
booktitle = {IEE Transactions on Acoustics, Speech And Signal Processing},
year = {1989},
pages = {2091--2110}
}
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Abstract
Abstract-In this paper we review recent multichannel models de-veloped in psychophysiology, computer vision, and image processing. In psychophysiology, multichannel models have been particularly suc-cessful in explaining some low-level processing in the visual cortex. The expansion of a function into several frequency channels provides a rep-resentation which is intermediate between a spatial and a Fourier rep-resentation. We describe the mathematical properties of such decom-positions and introduce the wavelet transform. We review the classical multiresolution pyramidal transforms developed in computer vision and show how they relate to the decomposition of an image into a wavelet orthonormal basis. In the last section we discuss the properties of the zero crossings of multifrequency channels. Zero-crossings represen-tations are particularly well adapted for pattern recognition in com-puter vision. I.
Keyphrases
wavelet model multifrequency channel decomposition computer vision low-level processing last section zero crossing pattern recognition recent multichannel model several frequency channel classical multiresolution pyramidal transforms multichannel model com-puter vision visual cortex multifrequency channel zero-crossings represen-tations mathematical property image processing fourier rep-resentation wavelet orthonormal basis wavelet transform
