Oscillating Patterns In Image Processing And Nonlinear Evolution Equations

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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

Yves Meyer
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations Book PDF

Author : Yves Meyer
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 50,8 Mb
Release : 2001
Category : Computers
ISBN : 0821829203

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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations by Yves Meyer Pdf

Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, moreprecisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and theiruse in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given bythe author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously inmonograph literature.

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

Yves Meyer
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations Book PDF

Author : Yves Meyer
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 50,9 Mb
Release : 2001
Category : Mathematics
ISBN : 1470421690

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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations by Yves Meyer Pdf

Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, more precisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and their use in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given by the author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature.

Handbook of Mathematical Models in Computer Vision

Nikos Paragios,Yunmei Chen,Olivier D. Faugeras
Handbook of Mathematical Models in Computer Vision Book PDF

Author : Nikos Paragios,Yunmei Chen,Olivier D. Faugeras
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 49,9 Mb
Release : 2006-01-16
Category : Computers
ISBN : 9780387288314

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Handbook of Mathematical Models in Computer Vision by Nikos Paragios,Yunmei Chen,Olivier D. Faugeras Pdf

Abstract Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, math ematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental sensory abilities in humans and therefore a significant amount of research effort has been dedicated towards modelling and repro ducing human visual abilities. Mathematical methods play a central role in this endeavour. Introduction David Marr's theory v^as a pioneering step tov^ards understanding visual percep tion. In his view human vision was based on a complete surface reconstruction of the environment that was then used to address visual subtasks. This approach was proven to be insufficient by neuro-biologists and complementary ideas from statistical pattern recognition and artificial intelligence were introduced to bet ter address the visual perception problem. In this framework visual perception is represented by a set of actions and rules connecting these actions. The emerg ing concept of active vision consists of a selective visual perception paradigm that is basically equivalent to recovering from the environment the minimal piece information required to address a particular task of interest.

Image Processing Based on Partial Differential Equations

Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher
Image Processing Based on Partial Differential Equations Book PDF

Author : Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 50,7 Mb
Release : 2006-11-22
Category : Computers
ISBN : 9783540332671

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Image Processing Based on Partial Differential Equations by Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher Pdf

This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems.

Scale Space and Variational Methods in Computer Vision

Fiorella Sgallari,Almerico Murli,Nikos Paragios
Scale Space and Variational Methods in Computer Vision Book PDF

Author : Fiorella Sgallari,Almerico Murli,Nikos Paragios
Publisher : Springer Science & Business Media
Page : 934 pages
File Size : 47,6 Mb
Release : 2007-07-23
Category : Computers
ISBN : 9783540728238

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Scale Space and Variational Methods in Computer Vision by Fiorella Sgallari,Almerico Murli,Nikos Paragios Pdf

This book constitutes the refereed proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2007, emanated from the joint edition of the 4th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2007 and the 6th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2007, held in Ischia Italy, May/June 2007.

Research Developments in Computer Vision and Image Processing: Methodologies and Applications

Srivastava, Rajeev
Research Developments in Computer Vision and Image Processing Methodologies and Applications Book PDF

Author : Srivastava, Rajeev
Publisher : IGI Global
Page : 451 pages
File Size : 45,8 Mb
Release : 2013-09-30
Category : Computers
ISBN : 9781466645592

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Research Developments in Computer Vision and Image Processing: Methodologies and Applications by Srivastava, Rajeev Pdf

Similar to the way in which computer vision and computer graphics act as the dual fields that connect image processing in modern computer science, the field of image processing can be considered a crucial middle road between the vision and graphics fields. Research Developments in Computer Vision and Image Processing: Methodologies and Applications brings together various research methodologies and trends in emerging areas of application of computer vision and image processing. This book is useful for students, researchers, scientists, and engineers interested in the research developments of this rapidly growing field.

Mathematical Problems in Image Processing

Gilles Aubert,Pierre Kornprobst
Mathematical Problems in Image Processing Book PDF

Author : Gilles Aubert,Pierre Kornprobst
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 53,5 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9780387445885

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Mathematical Problems in Image Processing by Gilles Aubert,Pierre Kornprobst Pdf

The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort.

Scale Space and Variational Methods in Computer Vision

Xue-Cheng Tai,Knut Morken,Marius Lysaker,Knut-Andreas Lie
Scale Space and Variational Methods in Computer Vision Book PDF

Author : Xue-Cheng Tai,Knut Morken,Marius Lysaker,Knut-Andreas Lie
Publisher : Springer
Page : 870 pages
File Size : 45,9 Mb
Release : 2009-05-24
Category : Computers
ISBN : 9783642022562

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Scale Space and Variational Methods in Computer Vision by Xue-Cheng Tai,Knut Morken,Marius Lysaker,Knut-Andreas Lie Pdf

This book contains 71 original, scienti?c articles that address state-of-the-art researchrelatedto scale space and variationalmethods for image processing and computer vision. Topics covered in the book range from mathematical analysis of both established and new models, fast numerical methods, image analysis, segmentation, registration, surface and shape construction and processing, to real applications in medical imaging and computer vision. The ideas of scale spaceandvariationalmethodsrelatedtopartialdi?erentialequationsarecentral concepts. The papers re?ect the newest developments in these ?elds and also point to the latest literature. All the papers were submitted to the Second International Conference on Scale Space and Variational Methods in Computer Vision, which took place in Voss, Norway, during June 1–5, 2009. The papers underwent a peer review process similar to that of high-level journals in the ?eld. We thank the authors, the Scienti?c Committee, the Program Committee and the reviewers for their hard work and helpful collaboration. Their contribution has been crucial for the e?cient processing of this book, and for the success of the conference.

Image and Signal Processing

Abderrahim Elmoataz,Olivier Lezoray,Fathallah Nouboud,Driss Mammass
Image and Signal Processing Book PDF

Author : Abderrahim Elmoataz,Olivier Lezoray,Fathallah Nouboud,Driss Mammass
Publisher : Springer
Page : 625 pages
File Size : 52,7 Mb
Release : 2008-07-06
Category : Computers
ISBN : 9783540699057

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Image and Signal Processing by Abderrahim Elmoataz,Olivier Lezoray,Fathallah Nouboud,Driss Mammass Pdf

This book constitutes the refereed proceedings of the Third International Conference on Image and Signal Processing, ICISP 2008, held in Cherbourg-Octeville, France, in July 2008. The 48 revised full papers and 22 revised poster papers presented were carefully reviewed and selected from 193 submissions. The papers are organized in topical sections on image filtering, image segmentation, computer vision, feature extraction, pattern recognition, graph-based representations, motion detection and estimation, new interfaces, document processing, and signal processing.

Energy Minimization Methods in Computer Vision and Pattern Recognition

Xue-Cheng Tai,Egil Bae,Tony F. Chan,Marius Lysaker
Energy Minimization Methods in Computer Vision and Pattern Recognition Book PDF

Author : Xue-Cheng Tai,Egil Bae,Tony F. Chan,Marius Lysaker
Publisher : Springer
Page : 506 pages
File Size : 54,7 Mb
Release : 2015-01-07
Category : Computers
ISBN : 9783319146126

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Energy Minimization Methods in Computer Vision and Pattern Recognition by Xue-Cheng Tai,Egil Bae,Tony F. Chan,Marius Lysaker Pdf

This volume constitutes the refereed proceedings of the 10th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2015, held in Hong Kong, China, in January 2015. The 36 revised full papers were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on discrete and continuous optimization; image restoration and inpainting; segmentation; PDE and variational methods; motion, tracking and multiview reconstruction; statistical methods and learning; and medical image analysis.

Perspectives in Nonlinear Partial Differential Equations

Henri Berestycki
Perspectives in Nonlinear Partial Differential Equations Book PDF

Author : Henri Berestycki
Publisher : American Mathematical Soc.
Page : 495 pages
File Size : 53,5 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821841907

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Perspectives in Nonlinear Partial Differential Equations by Henri Berestycki Pdf

In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges.

Image Processing and Analysis

Tony F. Chan,Jianhong (Jackie) Shen
Image Processing and Analysis Book PDF

Author : Tony F. Chan,Jianhong (Jackie) Shen
Publisher : SIAM
Page : 421 pages
File Size : 53,9 Mb
Release : 2005-01-01
Category : Computers
ISBN : 0898717876

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Image Processing and Analysis by Tony F. Chan,Jianhong (Jackie) Shen Pdf

At no other time in human history have the influence and impact of image processing on modern society, science, and technology been so explosive. Image processing has become a critical component in contemporary science and technology and has many important applications. This book develops the mathematical foundation of modern image processing and low-level computer vision, and presents a general framework from the analysis of image structures and patterns to their processing. The core mathematical and computational ingredients of several important image processing tasks are investigated. The book bridges contemporary mathematics with state-of-the-art methodologies in modern image processing while organizing the vast contemporary literature into a coherent and logical structure.

Nonlinear Eigenproblems in Image Processing and Computer Vision

Guy Gilboa
Nonlinear Eigenproblems in Image Processing and Computer Vision Book PDF

Author : Guy Gilboa
Publisher : Springer
Page : 172 pages
File Size : 51,5 Mb
Release : 2018-03-29
Category : Computers
ISBN : 9783319758473

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Nonlinear Eigenproblems in Image Processing and Computer Vision by Guy Gilboa Pdf

This unique text/reference presents a fresh look at nonlinear processing through nonlinear eigenvalue analysis, highlighting how one-homogeneous convex functionals can induce nonlinear operators that can be analyzed within an eigenvalue framework. The text opens with an introduction to the mathematical background, together with a summary of classical variational algorithms for vision. This is followed by a focus on the foundations and applications of the new multi-scale representation based on non-linear eigenproblems. The book then concludes with a discussion of new numerical techniques for finding nonlinear eigenfunctions, and promising research directions beyond the convex case. Topics and features: introduces the classical Fourier transform and its associated operator and energy, and asks how these concepts can be generalized in the nonlinear case; reviews the basic mathematical notion, briefly outlining the use of variational and flow-based methods to solve image-processing and computer vision algorithms; describes the properties of the total variation (TV) functional, and how the concept of nonlinear eigenfunctions relate to convex functionals; provides a spectral framework for one-homogeneous functionals, and applies this framework for denoising, texture processing and image fusion; proposes novel ways to solve the nonlinear eigenvalue problem using special flows that converge to eigenfunctions; examines graph-based and nonlocal methods, for which a TV eigenvalue analysis gives rise to strong segmentation, clustering and classification algorithms; presents an approach to generalizing the nonlinear spectral concept beyond the convex case, based on pixel decay analysis; discusses relations to other branches of image processing, such as wavelets and dictionary based methods. This original work offers fascinating new insights into established signal processing techniques, integrating deep mathematical concepts from a range of different fields, which will be of great interest to all researchers involved with image processing and computer vision applications, as well as computations for more general scientific problems.

Combinatorial Image Analysis

Reinhard Klette,Jovisa Zunic
Combinatorial Image Analysis Book PDF

Author : Reinhard Klette,Jovisa Zunic
Publisher : Springer Science & Business Media
Page : 771 pages
File Size : 44,9 Mb
Release : 2004-11-22
Category : Computers
ISBN : 9783540239420

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Combinatorial Image Analysis by Reinhard Klette,Jovisa Zunic Pdf

This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis, held December 1–3, 2004, in Auckland, New Zealand. Prior meetings took place in Paris (France, 1991), Ube (Japan, 1992), Washington DC (USA, 1994), Lyon (France, 1995), Hiroshima (Japan, 1997), Madras (India, 1999), Caen (France, 2000), Philadelphia (USA, 2001), and - lermo (Italy, 2003). For this workshop we received 86 submitted papers from 23 countries. Each paper was evaluated by at least two independent referees. We selected 55 papers for the conference. Three invited lectures by Vladimir Kovalevsky (Berlin), Akira Nakamura (Hiroshima), and Maurice Nivat (Paris) completed the program. Conference papers are presented in this volume under the following topical part titles: discrete tomography (3 papers), combinatorics and computational models (6), combinatorial algorithms (6), combinatorial mathematics (4), d- ital topology (7), digital geometry (7), approximation of digital sets by curves and surfaces (5), algebraic approaches (5), fuzzy image analysis (2), image s- mentation (6), and matching and recognition (7). These subjects are dealt with in the context of digital image analysis or computer vision.

Pattern Recognition

Gerhard Rigoll
Pattern Recognition Book PDF

Author : Gerhard Rigoll
Publisher : Springer
Page : 538 pages
File Size : 44,8 Mb
Release : 2008-06-29
Category : Computers
ISBN : 9783540693215

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Pattern Recognition by Gerhard Rigoll Pdf

This book constitutes the refereed proceedings of the 30th Symposium of the German Association for Pattern Recognition, DAGM 2008, held in Munich, Germany, in June 2008. The 53 revised full papers were carefully reviewed and selected from 136 submissions. The papers are organized in topical sections on learning and classification, tracking, medical image processing and segmentation, audio, speech and handwriting recognition, multiview geometry and 3D-reconstruction, motion and matching, and image analysis.