Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint)

Stephane G. Mallat

ISBN 10: 0483052906 / ISBN 13: 9780483052901

Published by Forgotten Books, 1988

About this Item

Edition 1988. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Edition 1988. Ammareal gives back up to 15% of this item's net price to charity organizations.

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Bibliographic Details

• Title: Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 1988
• Language: English
• ISBN 10: 0483052906
• ISBN 13: 9780483052901
• Binding: Hardcover
• Condition: Très bon

About this title

Synopsis

Excerpt from Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models

In psychophysics and physiology of human vision. Many evidences have been gathered showing that the retina image is decomposed into several spatially oriented frequency channels. In the first section of this paper, we describe the experimental motivations of this model. Biolog ical studies of human vision have always been a source of ideas for computer vision and image processing research. Indeed. The human visual system is generally considered as an optimal image processor. The goal is not to imitate the processings immemented in the human brains but rather to understand the motivations of such processings and analyze their applications to computer vision problems. From this point of view. The recent experimental findings in psychophysics and physiology open challenging questions. In order to get a better understanding of multichannel decompositions. We review the main mathematical results in this domain. The best know decom position which is intermediate between a spatial and a frequency representation is the window Fourier transform. We describe its properties but also show from a mathematical point of view why it is not convenient to analyze images. The wavelet transfonn was introduced by J. Morlet to compensate the inconveniences of a window Fourier transform. It is computed by expanding the signal on a family of functions which are the dilate and translate of a unique function w(x)

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