
Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
Springer (Publisher)
Published on 1. January 2002
Book
Hardback
XXV, 288 pages
978-0-387-95326-7 (ISBN)
Article exhausted; check for reprint
Description
Partial differential equations and variational methods were introduced into image processing about 15 years ago, and intensive research has been carried out since then. The main goal of this work is to present the variety of image analysis applications and the precise mathematics involved. It is intended for two audiences. The first is the mathematical community, to show the contribution of mathematics to this domain and to highlight some unresolved theoretical questions. The second is the computer vision community, to present a clear, self-contained, and global overview of the mathematics involved in image processing problems.
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.
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.
More details
Series
Language
English
Place of publication
NY
United States
Target group
College/higher education
Professional and scholarly
Illustrations
129
3 s/w Tabellen, 129 s/w Abbildungen
93 illus.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
600 gr
ISBN-13
978-0-387-95326-7 (9780387953267)
DOI
10.1007/b97428
Schweitzer Classification
Other editions
New editions

Gilles Aubert | Pierre Kornprobst
Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
Book
08/2006
2nd Edition
Springer
€181.89
Shipment within 5-7 days
Additional editions

Gilles Aubert | Pierre Kornprobst
Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
E-Book
04/2008
Springer
€85.59
Available for download
Persons
Content
Introduction * Mathematical Preliminaries * Image Restoration * The Segmentation Problem * Other Challenging Applications * Appendices