Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 147)
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Table of contents (7 chapters)
Keywords
About this book
The book is divided into five main parts. Chapter 1 is a detailed overview. Chapter 2 describes and illustrates most of the mathematical notions found throughout the work. Chapters 3 and 4 examine how PDEs and variational methods can be successfully applied in image restoration and segmentation processes. Chapter 5, which is more applied, describes some challenging computer vision problems, such as sequence analysis or classification. This book will be useful to researchers and graduate students in mathematics and computer vision.
Reviews
From the reviews:
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."
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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
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Problems in Image Processing
Book Subtitle: Partial Differential Equations and the Calculus of Variations
Authors: Gilles Aubert, Pierre Kornprobst
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/b97428
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2002
eBook ISBN: 978-0-387-21766-6Published: 06 April 2008
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XXV, 288
Number of Illustrations: 129 b/w illustrations
Topics: Analysis, Applications of Mathematics, Calculus of Variations and Optimal Control; Optimization, Systems Theory, Control, Artificial Intelligence, Image Processing and Computer Vision