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Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations: 147 (Applied Mathematical Sciences) - Softcover

 
9781441921826: Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations: 147 (Applied Mathematical Sciences)
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From the reviews:

(Selected by the author): "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."

Luminita Vese
University of California at Los Angeles

(Selected by the author): "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."

Adhemar Bultheel

MATHEMATICAL REVIEWS

"The authors have substantially contributed to many aspects of the subject...The level of the book is advanced, and the exposition very clear, developed in depth, and to some extent self-contained. The proofs of the main theorems are usually given in detail; when necessary there is also a precise reference to the ample literature on the specific topic. This book will certainly interest both mathematicians (some interesting, still open theoretical questions there are highlighted) and researchers in computer vision...The books substantial and up-to-date body for reference is a detailed guide to the literature on the many aspects of image processing."

G. Aubert and P. Kornprobst

Mathematical Problems in Image Processing

Partial Differential Equations and the Calculus of Variations

"This book is devoted to a detailed presentation of several aspects of mathematical problems in image processing . . . The authors have substantially contributed to many aspects of their subject . . . The level of the book is advanced, and the to some extent self-contained . . . This book will certainly interest both mathematicians (some interesting, still open theoretical questions here are highlighted) and researchers in computer vision."―MATHEMATICAL REVIEWS

From the reviews of the second edition:

"The book is devoted to the mathematical treatment of several problems in image processing, with particular attention to the methods involving partial differential equations and variational analysis ... . This second edition has the same goals, and the spirit in which the volume is written will again let it be a reference for both the mathematical and the computer vision communities. Besides the natural updating of the existing chapters, this second edition presents some new material ... ." (Giuseppe Buttazzo, Zentralblatt MATH, Vol. 1110 (12), 2007)

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The 2nd edition presents image analysis applications, outlines their precise mathematics and shows how to discretize them. It reviews progress in image processing applications covered by the PDE framework, and updates the existing material. Also provides programming tools for creating simulations.

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  • VerlagSpringer
  • Erscheinungsdatum2010
  • ISBN 10 1441921826
  • ISBN 13 9781441921826
  • EinbandTapa blanda
  • Auflage2
  • Anzahl der Seiten412

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9780387322001: Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations: 147 (Applied Mathematical Sciences)

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ISBN 10:  0387322000 ISBN 13:  9780387322001
Verlag: Springer, 2006
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Buchbeschreibung Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The two most important problems in image analysis, namely image restoration and segmentation, are treated in details and allow to present most of the mathematical concepts useful in this fieldNot only presents theoretical concepts but also provide. Bestandsnummer des Verkäufers 4172712

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Buchbeschreibung Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 procesing 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. 412 pp. Englisch. Bestandsnummer des Verkäufers 9781441921826

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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 procesing 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. Bestandsnummer des Verkäufers 9781441921826

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