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Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations /
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Mathematical Problems in Image Processing ([EBook] :) : Partial Differential Equations and the Calculus of Variations / / by Gilles Aubert, Pierre Kornprobst.
Author
Aubert, Gilles
Added Personal Name
Kornprobst, Pierre
author.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York, , 2002.
Physical Details
XXV, 288 p. 129 illus. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 147
ISBN
9780387217666
Summary Note
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.:
Contents note
Guide to main mathematical concepts and their application -- Notations and symbols -- Mathematical preliminaries -- Image Restoration -- The Segmentation Problem -- Other Challenging Applications.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b97428
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Applications of Mathematics
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Applied mathematics
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Calculus of variations
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Calculus of variations and optimal control; optimization
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Computers
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Computing Methodologies
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Engineering mathematics
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Image processing
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Image Processing and Computer Vision
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Mathematical analysis
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Mathematics
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System theory
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Systems Theory, Control
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Authors:
Aubert, Gilles
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Kornprobst, Pierre
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
515
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