Variational methods in imaging
Author(s)
Bibliographic Information
Variational methods in imaging
（Applied mathematical sciences, 167）
Springer, c2010
- : [pbk.]
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Note
Other author: Markus Grasmair, Harald Grossauer, Markus Haltmeier, Frank Lenzen
Includes bibliographical references (p. 287-307) and index
Differs from in publication year
Description and Table of Contents
Description
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.
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.
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