Variational Methods in Imaging / Edition 1

by Otmar Scherzer, Markus Grasmair, Harald Grossauer, Markus Haltmeier, Frank Lenzen

Overview

This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Many numerical examples accompany the theory throughout the text. It is geared towards graduate students and researchers in applied mathematics. Researchers in the area of imaging science will also find this book appealing. It can serve as a main text in courses in image processing or as a supplemental text for courses on regularization and inverse problems at the graduate level.

Product Details

ISBN-13:	9781441921666
Publisher:	Springer New York
Publication date:	11/19/2010
Series:	Applied Mathematical Sciences Series , #167
Edition description:	Softcover reprint of hardcover 1st ed. 2009
Pages:	320
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Fundamentals of Imaging.- Case Examples of Imaging.- Image and Noise Models.- Regularization.- Variational Regularization Methods for the Solution of Inverse Problems.- Convex Regularization Methods for Denoising.- Variational Calculus for Non-convex Regularization.- Semi-group Theory and Scale Spaces.- Inverse Scale Spaces.- Mathematical Foundations.- Functional Analysis.- Weakly Differentiable Functions.- Convex Analysis and Calculus of Variations.

Editorial Reviews

From the reviews:

"Imaging is a wide area of applied mathematics which covers inverse problems, data filtering … medical diagnosis, etc. … The book is structured in a logical manner, starting with motivating examples and building on them. … One of the strengths of this book is its real-life applications and analytical and numerical results presented at each step, keeping the content real … . This is … a book for the seasoned researchers or graduate students who look to deepen their understanding of the subject." (Bogdan G. Nita, Mathematical Reviews, Issue 2009 j)

“The book is mainly devoted to variational methods in imaging. It is divided into three parts. … The book is interesting in particular for its rigorous presentation of many proved mathematical results, and is … important for the image processing community.” (Alessandro Duci, Zentralblatt MATH, Vol. 1177, 2010)

From the Publisher