Verwandte Artikel zu Robotics Research Technical Report: Review of Multifrequency...
Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models (Classic Reprint) - Softcover
Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
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.
Reseña del editor
Excerpt from Robotics Research Technical Report: Review of Multifrequency Channel Decompositions, of Images and Wavelet Models
In this paper we review the recent multichannel models developed in psycho-physiology, computer vision and image processing. In psychophysiology. multichannel models have been particularly successful for explaining some low-level processing tn the visual cortex. The expansion of a function in several frequency channels provides a representation which is intermediate between a spatial and a Fourier representation We describe the mathematical properties of such decompositions and introduce the wavelet transform. We review the classical multircsolution pyramidal transforms developed in computer vision and show how they relate to the decomposition of an image in a wavelet orthonormal basis. In the last section we discuss the properties of the zcro-crossings of multifrcqocncy channels. Zcro-crossings representations arc particularly well adapted for pattern recognition in computer vision.
1. Introduction
Within the last 10 years, multi-frequency channel decompositions have found many applications in image processing. In psycho-physiology of human vision, multichannel models have also been particularly successful for explaining some low-level biological processings.
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 19,17
EUR 0,93 für den Versand von USA nach Deutschland
Versandziele, Kosten & Dauer
Suchergebnisse für Robotics Research Technical Report: Review of Multifrequency...
Beispielbild für diese ISBN
Robotics Research Technical Report Review of Multifrequency Channel Decompositions, of Images and Wavelet Models Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332190393
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Robotics Research Technical Report Review of Multifrequency Channel Decompositions, of Images and Wavelet Models Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332190393
Anzahl: 15 verfügbar
Foto des Verkäufers
Robotics Research Technical Report (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332190393_0
Anzahl: Mehr als 20 verfügbar