Deblurring Images：Matrices, Spectra, and Filtering

Hansen (scientific computing, Technical U. of Denmark), Nagy (mathematics and computer science, Emory U., US), and O'Leary (computer science, U. of Maryland, US) explain the linear algebra underlying the algorithms and techniques of spectral filtering methods for the reconstruction of blurred images. Intending their text for beginners in the field of image restoration and regularization, they have chosen to keep their mathematical formulations in terms of matrices, vectors, and matrix computations. Chapters cover the manipulation of images in MATLAB; the blurring function; structured matrix computations; singular value decomposition and spectral analysis; regularization by spectral filtering; and color images, smoothing norms, and other topics. Annotation c2007 Book News, Inc., Portland, OR (booknews.com)

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. Further information about his work can be found at www.imm.dtu.dk/~pch.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. Further information about his work can be found at www.mathcs.emory.edu/~nagy.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. Further information about her work can be found at www.cs.umd.edu/users/oleary.