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Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint) - Brossura
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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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Robotics Research Technical Report Review of Multifrequency Channel Decompositions, of Images and Wavelet Models Classic Reprint
Da: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332190393
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Robotics Research Technical Report Review of Multifrequency Channel Decompositions, of Images and Wavelet Models Classic Reprint
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332190393
Quantità: 15 disponibili
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Robotics Research Technical Report (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book delves into the fascinating realm of multi-frequency channel decompositions and their profound implications for image processing and human vision. The author takes us on a journey through the historical development of these models, tracing their roots back to the pioneering work of Littlewood-Paley in the 1930s and the groundbreaking wavelet transform introduced by Morlet. We explore the intricate workings of the human visual system, drawing inspiration from biological studies that reveal how the retina decomposes images into spatially oriented frequency channels. The author bridges the gap between psychophysiology and computer vision, demonstrating how insights from our own visual processing can be harnessed to enhance image analysis techniques. Through a comprehensive mathematical analysis, we unravel the properties of various multi-channel decompositions, including the windowed Fourier transform and the wavelet transform. We discover how these transforms offer a powerful framework for understanding image structure at different scales and orientations, leading to innovative applications in image coding, pattern recognition, and data compression. The book culminates in an exploration of zero-crossings representations, highlighting their ability to capture essential image features while maintaining translation invariance. By shedding light on the intricate relationship between multi-frequency channels and image structure, this book provides invaluable insights for researchers and practitioners in image processing, computer vision, and beyond. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781332190393_0
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