hansen, nagy, oleary - deblurring images. matrices, spectra and filtering

[...]... 5 builds up an understanding of the mechanisms and difficulties associated with image deblurring, expressed in terms of spectral decompositions, thus setting the stage for the reconstruction algorithms Chapter 6 explains how regularization, in the form of spectral filtering, is applied to the image deblurring problem In addition to covering several spectral filtering methods and their implementations,... equations The SVD of a square matrix A 6 M' VxiV is essentially unique and is defined as the decomposition where U and V are orthogonal matrices, satisfying U 7 U — IN and V r V = I /v , and £ = diag((j ,-) is a diagonal matrix whose elements er/ are nonnegative and appear in nonincreasing order, The quantities . algorithms) Includes bibliographical references and index. ISBN-13: 97 8-0 -8 9871 6-1 8-4 (pbk.) ISBN-10: 0-8 987 1-6 1 8-7 (pbk.) 1. Image processing-Mathematical models. I. Title. TA1637.H364 2006 621.36'7015118. Georgia Diann€ P O'Learg University of Maryland College Park, Maryland Dcblurrinq Images Matrices, Spectra, and Filtering slam. Society for Industrial and Applied Mathematics Philadelphia Copyright . University University of Waterloo Series Volumes Hansen, P. C., Nagy, J. G., and O'Leary, D. P. Debarring Images: Matrices, Spectra, and Filtering Davis, T. A. Direct Methods for