Deblurring Images: Matrices, Spectra, and Filtering

by Per Christian Hansen, James G. Nagy, Dianne P. O'Leary

Overview

In image deblurring, the goal is to recover the original, sharp image by using a mathematical model of the blurring process. The key issue is that some information on the lost details is indeed present in the blurred image, but this 'hidden' information can be recovered only if we know the details of the blurring process. Deblurring Images: Matrices, Spectra, and Filtering describes the deblurring algorithms and techniques collectively known as spectral filtering methods, in which the singular value decomposition - or a similar decomposition with spectral properties - is used to introduce the necessary regularization or filtering in the reconstructed image. The concise MATLAB® implementations described in the book provide a template of techniques that can be used to restore blurred images from many applications.

Product Details

ISBN-13:	9780898716184
Publisher:	SIAM
Publication date:	10/01/2006
Series:	Fundamentals of Algorithms Series , #3
Edition description:	New Edition
Pages:	144
Product dimensions:	70.00(w) x 10.00(h) x 2.50(d)

About the Author

Per Christian Hansen is Professor of Scientific Computing at the Technical University of Denmark. He has also worked at the University of Copenhagen, Denmark, and the Danish Computing Center for Research and Education (UNI•C). His publications include a research monograph, several MATLAB packages, and many papers on inverse problems, matrix computations, and signal processing. He is a member of SIAM.

James G. Nagy is Professor of Mathematics and Computer Science at Emory University. In 2001 he was selected to hold the Emory Professorship for Distinguished Teaching in the Social and Natural Sciences. He has published many research papers on scientific computing, numerical linear algebra, inverse problems, and image processing. He is a member of SIAM and AWM.

Dianne P. O'Leary is Professor of Computer Science at the University of Maryland and a mathematician at the U.S. National Institute of Standards and Technology. She was awarded an honorary Doctorate of Mathematics from the University of Waterloo. She is the author of over 75 publications on numerical analysis and computational science and over 25 publications on education and mentoring. She is a member of SIAM, AWM, and ACM.

Table of Contents

Preface ; How to Get the Software; List of Symbols ; 1. The Image Deblurring Problem; 2. Manipulating Images in MATLAB; 3. The Blurring Function; 4. Structured Matrix Computations; 5. SVD and Spectral Analysis; 6. Regularization by Spectral Filtering; 7. Color Images, Smoothing Norms, and Other Topics; Appendix: MATLAB Functions; Bibliography; Index.

Editorial Reviews

'The book's focus on imaging problems is very unique among the competing books on inverse and ill-posed problems … It gives a nice introduction into the MATLAB world of images and deblurring problems.' Martin Hanke, Johannes-Gutenberg-Universität

From the Publisher