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

 
9780483052901: Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint)

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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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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)

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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  • VerlagForgotten Books
  • Erscheinungsdatum2018
  • ISBN 10 0483052906
  • ISBN 13 9780483052901
  • EinbandTapa dura
  • SpracheEnglisch
  • Anzahl der Seiten62
  • Kontakt zum HerstellerNicht verfügbar

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9781332190393: Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint)

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