Mathematical problems in image processing : partial differential equations and the calculus of variations
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The work Mathematical problems in image processing : partial differential equations and the calculus of variations represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.
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Mathematical problems in image processing : partial differential equations and the calculus of variations
Resource Information
The work Mathematical problems in image processing : partial differential equations and the calculus of variations represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Mathematical problems in image processing : partial differential equations and the calculus of variations
 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
 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
 Series statement
 Applied mathematical sciences
 Series volume
 147
Context
Context of Mathematical problems in image processing : partial differential equations and the calculus of variationsWork of
 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
 Mathematical problems in image processing : partial differential equations and the calculus of variations, Gilles Aubert, Pierre Kornprobst
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