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Mathematical problems in image processing : partial differential equations and the calculus of variations

Author: Gilles Aubert; Pierre Kornprobst
Publisher: New York : Springer, ©2006.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 147.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Publication:Springer e-books
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Aubert, Gilles.
Mathematical problems in image processing.
New York : Springer, ©2006
(DLC) 2006926450
(OCoLC)70962270
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gilles Aubert; Pierre Kornprobst
ISBN: 9780387322001 0387322000 0387217665 9780387217666 9780387445885 0387445889
OCLC Number: 122544520
Description: 1 online resource (xxxi, 377 pages) : illustrations.
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.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 147.
Responsibility: Gilles Aubert, Pierre Kornprobst.

Abstract:

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  Read more...

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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 Read more...

 
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