The Resource Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst
Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst
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The item Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, selfcontained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields. During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches. Reviews of the earlier edition: "Mathematical Problems in Image Processing is a major, elegant, and unique contribution to the applied mathematics literature, oriented toward applications in image processing and computer vision ... Researchers and practitioners working in the field will benefit by adding this book to their personal collection. Students and instructors will benefit by using this book as a graduate course textbook."SIAM Review "The Mathematician  and he doesn't need to be a 'diehard' applied mathematician  will love it because there are all these spectacular applications of nontrivial mathematical techniques and he can even find some open theoretical questions. The numerical analyst will discover many challenging problems and implementations. The image processor will be an eager reader because the book provides all the mathematical elements, including most of the proofs ... Both content and typography are a delight. I can recommend the book warmly for theoretical and applied researchers."Bulletin of the Belgian Mathematics
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xxxi, 377 pages)
 Contents

 Foreword
 Preface to the Second Edition
 Preface
 Guide to the Main Mathematical Concepts and their Application
 Notation and Symbols
 Introduction
 Mathematical Preliminaries
 Image Restoration
 The Segmentation Problem
 Other Challenging Applications
 A Introduction to Finite Difference Methods
 B Experiment Yourself! References
 Index
 Isbn
 9780387445885
 Label
 Mathematical problems in image processing : partial differential equations and the calculus of variations
 Title
 Mathematical problems in image processing
 Title remainder
 partial differential equations and the calculus of variations
 Statement of responsibility
 Gilles Aubert, Pierre Kornprobst
 Language
 eng
 Summary
 Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, selfcontained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields. During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches. Reviews of the earlier edition: "Mathematical Problems in Image Processing is a major, elegant, and unique contribution to the applied mathematics literature, oriented toward applications in image processing and computer vision ... Researchers and practitioners working in the field will benefit by adding this book to their personal collection. Students and instructors will benefit by using this book as a graduate course textbook."SIAM Review "The Mathematician  and he doesn't need to be a 'diehard' applied mathematician  will love it because there are all these spectacular applications of nontrivial mathematical techniques and he can even find some open theoretical questions. The numerical analyst will discover many challenging problems and implementations. The image processor will be an eager reader because the book provides all the mathematical elements, including most of the proofs ... Both content and typography are a delight. I can recommend the book warmly for theoretical and applied researchers."Bulletin of the Belgian Mathematics
 Cataloging source
 COO
 http://library.link/vocab/creatorName
 Aubert, Gilles
 Dewey number
 621.36/70151
 Illustrations
 illustrations
 Index
 index present
 LC call number
 TA1637
 LC item number
 .A87 2006
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Kornprobst, Pierre
 Series statement
 Applied mathematical sciences
 Series volume
 147
 http://library.link/vocab/subjectName

 Image processing
 Applications of Mathematics
 Computing Methodologies
 Electronic and Computer Engineering
 Image Processing and Computer Vision
 Partial Differential Equations
 Label
 Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst
 Bibliography note
 Includes bibliographical references (pages 349371) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  Preface to the Second Edition  Preface  Guide to the Main Mathematical Concepts and their Application  Notation and Symbols  Introduction  Mathematical Preliminaries  Image Restoration  The Segmentation Problem  Other Challenging Applications  A Introduction to Finite Difference Methods  B Experiment Yourself! References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xxxi, 377 pages)
 Form of item
 online
 Isbn
 9780387445885
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number

 SPR122544520
 ocn122544520
 Label
 Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst
 Bibliography note
 Includes bibliographical references (pages 349371) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  Preface to the Second Edition  Preface  Guide to the Main Mathematical Concepts and their Application  Notation and Symbols  Introduction  Mathematical Preliminaries  Image Restoration  The Segmentation Problem  Other Challenging Applications  A Introduction to Finite Difference Methods  B Experiment Yourself! References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xxxi, 377 pages)
 Form of item
 online
 Isbn
 9780387445885
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number

 SPR122544520
 ocn122544520
Subject
 Applications of Mathematics
 Computing Methodologies
 Electronic and Computer Engineering
 Image Processing and Computer Vision
 Image processing  Mathematics
 Partial Differential Equations
Member of
 Applied mathematical sciences (SpringerVerlag New York Inc.), v. 147
 Online access with purchase: Springer
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Mathematicalproblemsinimageprocessing/yZNsBlH8Rbk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Mathematicalproblemsinimageprocessing/yZNsBlH8Rbk/">Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>