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, 2002.
• Series: Applied Mathematical Sciences, 147
• Subjects: Mathematics.; Computers.; Image processing.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; System theory.; Calculus of variations.; Analysis.; Applications of Mathematics.; Calculus of Variations and Optimal Control; Optimization.; Systems Theory, Control.; Computing Methodologies.; Image Processing and Computer Vision.

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 int...

Table of Contents:

• Guide to main mathematical concepts and their application
• Notations and symbols
• Mathematical preliminaries
• Image Restoration
• The Segmentation Problem
• Other Challenging Applications.