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Group Theoretical Methods in Image Processing

Author: Reiner Lenz

Publisher: Springer

Published: 2014-03-12

Total Pages: 142

ISBN-13: 9783662189481

In this volume the author gives an introduction to the theory of group representations and their applications in image science. The main feature of the presentation is a systematic treatment of the invariance principle in image processing and pattern recognition with the help of group theoretical methods. The invariance properties of a problem often largely define the solution to the problem. Invariance principles are well known in theoretical physics but their use in image processing is only a few years old. The reader will find that group theory provides a unifying framework for many problems in image science. The volume is based on graduate-level lectures given by the author, and the book is intended for students and researchers interested in theoretical aspects of computer vision.

Group-Theoretical Methods in Image Understanding

Author: Ken-ichi Kanatani

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 468

ISBN-13: 364261275X

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Image understanding is an attempt to extract knowledge about a 3D scene from 20 images. The recent development of computers has made it possible to automate a wide range of systems and operations, not only in the industry, military, and special environments (space, sea, atomic plants, etc.), but also in daily life. As we now try to build ever more intelligent systems, the need for "visual" control has been strongly recognized, and the interest in image under standing has grown rapidly. Already, there exists a vast body of literature-ranging from general philosophical discourses to processing techniques. Compared with other works, however, this book may be unique in that its central focus is on "mathematical" principles-Lie groups and group representation theory, in particular. In the study of the relationship between the 3D scene and the 20 image, "geometry" naturally plays a central role. Today, so many branches are inter woven in geometry that we cannot truly regard it as a single subject. Neverthe less, as Felix Klein declared in his Erlangen Program, the central principle of geometry is group theory, because geometrical concepts are abstractions of properties that are "invariant" with respect to some group of transformations. In this text, we specifically focus on two groups of transformations. One is 20 rotations of the image coordinate system around the image origin. Such coordi nate rotations are indeed irrelevant when we look for intrinsic image properties.

Group-Theoretical Methods in Image Understanding

Author: Kenichi Kanatani

Publisher: Springer

Published: 2011-10-05

Total Pages: 459

ISBN-13: 9783642612763

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Group Theoretical Methods in Image Processing

Author: Reiner Lenz

Publisher: Lecture Notes in Computer Science

Published: 1990-03-07

Total Pages: 156

ISBN-13:

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Group Theoretical Methods and Their Applications

Author: E. Stiefel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 302

ISBN-13: 1461203953

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X system Ib-TEX. I wish to thank her for the beautiful work and the numerous discussions on the contents of this book. I am indebted to Peter Fassler, Neu-Technikum Buchs, Switzerland, for drafting the figures, to my students Kurt Rothermann and Stefan Strahl for computer enhancing and labeling the graphics, to Pascal Felder and Markus Wittwer for a simulation program that generated the figures in the stochastics sections. My thanks go to my new colleague at work, Daniel Neuenschwander, for the inspiring discussions related to the section in stochastics and for reading the manuscript to it. I am also grateful to Dacfey Dzung for reading the whole manuscript. Thanks go especially to Professor \Valter Gander of ETH, Zurich, who at the finishing stage and as an expert of 'JEXgenerously invested numerous hours to assist us in solving software as well as hardware problems; thanks go also to Martin Muller, Ingenieurschule Biel, who made the final layout of this book on the NeXT computer. Thanks are also due to Helmut Kopka of the Max Planck Institute, for solving software problems, and to Professor Burchard Kaup of the Uni versity of Fribourg, Switzerland for adding some useful software; also to Birkhauser Boston Inc. for the pleasant co-operation. Finally, let me be reminiscent of Professor E. Stiefel (deceased 1978) with whom I had many interesting discussions and true co-operation when writing the book in German.

Advanced Color Image Processing and Analysis

Author: Christine Fernandez-Maloigne

Publisher: Springer Science & Business Media

Published: 2012-07-11

Total Pages: 514

ISBN-13: 1441961909

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This volume does much more than survey modern advanced color processing. Starting with a historical perspective on ways we have classified color, it sets out the latest numerical techniques for analyzing and processing colors, the leading edge in our search to accurately record and print what we see. The human eye perceives only a fraction of available light wavelengths, yet we live in a multicolor world of myriad shining hues. Colors rich in metaphorical associations make us “purple with rage” or “green with envy” and cause us to “see red.” Defining colors has been the work of centuries, culminating in today’s complex mathematical coding that nonetheless remains a work in progress: only recently have we possessed the computing capacity to process the algebraic matrices that reproduce color more accurately. With chapters on dihedral color and image spectrometers, this book provides technicians and researchers with the knowledge they need to grasp the intricacies of today’s color imaging.

Groups and Computation II

Author: Larry Finkelstein, William M. Kantor

Publisher: American Mathematical Soc.

Published:

Total Pages: 404

ISBN-13: 9780821885772

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The workshop "Groups and Computations" took place at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University in June 1995. This and an earlier workshop held in October 1991 was aimed at merging theory and practice within the broad area of computation with groups. The primary goal of the previous workshop was to foster a dialogue between researchers studying the computational complexity of group algorithms and those engaged in the development of practical software. It was expected that this would lead to a deeper understanding of the mathematical issues underlying group computation and that this understanding would lead, in turn, to faster algorithms. Comments and subsequent work indicated that this goal had been achieved beyond expectations. The second workshop was designed to reinforce the progress in these directions. The scientific program consisted of invited lectures and research announcements, as well as informal discussions and software demonstrations. The eight extended talks discussed randomization, permutation groups, matrix groups, software systems, fast Fourier transforms and their applications to signal processing and data analysis, computations with finitely presented groups, and implementation and complexity questions. As in the previous workshop, speakers ranged from established researchers to graduate students.

Theory and Applications of Image Analysis

Author: P Johansen

Publisher: World Scientific

Published: 1992-05-14

Total Pages: 360

ISBN-13: 9814505641

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This book contains 31 papers carefully selected from among those presented at the 7th Scandinavian Conference on Image Analysis. The authors have extended their papers to give a more in-depth discussion of the theory, or of the experimental validation of the method they have proposed. The topics covered are current and wide-ranging and include both 2D- and 3D-vision, and low to high level vision. Contents:Theory:Human Image Understanding (I Biederman)Local Image Structure (J J Koenderink)An Algebraic/Analytic Method for Reconstruction from Image Correspondences (G Sparr)Computational Aspects:Efficient Matching of Dynamically Changing Graphs (H Bunke et al.)Using a Genetic Algorithm to Solve Constraint Satisfaction Problems Generated by An Image Interpreter (S Truvé)Estimation of Velocity and Acceleration in Time Sequences (L Haglund et al.)Applications:Towards Continuously Operating Integrated Vision Systems for Robotics Applications (J L Crowley)Real Time 3D-Road Modeling for Autonomous Vehicle Guidance (U Franke)Studies on Classification of LANDSAT Image Data Using a Neural Network Approach (S Kamata et al.)Texture Discrimination of Normal and Malignant Mouse Liver Cell Nuclei (F Albregtsen et al.)and other papers Readership: Computer scientists and engineers. keywords:Image Analysis;Human Image Perception;T-junction;Feature;Extraction;Image Reconstruction;Autonomous Vehicle Guidance;3D Pose;Shape Analysis;Texture Analysis;Segmentation

Modern Group Theoretical Methods in Physics

Author: J. Bertrand

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 329

ISBN-13: 9401585431

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This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics.

Wavelets in Signal and Image Analysis

Author: A.A. Petrosian

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 548

ISBN-13: 9401597154

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Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis. Because of their powerful underlying mathematical theory, they offer exciting opportunities for the design of new multi-resolution processing algorithms and effective pattern recognition systems. This book provides a much-needed overview of current trends in the practical application of wavelet theory. It combines cutting edge research in the rapidly developing wavelet theory with ideas from practical signal and image analysis fields. Subjects dealt with include balanced discussions on wavelet theory and its specific application in diverse fields, ranging from data compression to seismic equipment. In addition, the book offers insights into recent advances in emerging topics such as double density DWT, multiscale Bayesian estimation, symmetry and locality in image representation, and image fusion. Audience: This volume will be of interest to graduate students and researchers whose work involves acoustics, speech, signal and image processing, approximations and expansions, Fourier analysis, and medical imaging.