Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations /

• Main Authors: Aubert, Gilles (Author), Kornprobst, Pierre (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: Second Edition.
• Series: Applied Mathematical Sciences, 147
• Subjects: Mathematics.; Image processing.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Optics.; Optoelectronics.; Plasmons (Physics).; Applied mathematics.; Engineering mathematics.; Analysis.; Optics, Optoelectronics, Plasmonics and Optical Devices.; Appl.Mathematics/Computational Methods of Engineering.; Partial Differential Equations.; Image Processing and Computer Vision.; Signal, Image and Speech Processing.

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 t...

Table of 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.