Coverart for item
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

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
Creator
Contributor
Subject
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, self-contained 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 'die-hard' 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
Member of
Is part of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 349-371) 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
Publication
Bibliography note
Includes bibliographical references (pages 349-371) 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

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