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Deblurring Images

Matrices, Spectra, and Filtering

Per Christian Hansen (author) James G. Nagy (author)
Dianne P. O'Leary (author)

ISBN: 9780898716184

Publication Date: Oct 2006

Format: Paperback

This book's treatment of image deblurring is unique in two ways: it includes algorithmic and implementation details; and by keeping the formulations in terms of matrices, vectors, and matrix computations, it makes the material accessible to a wide range of readers.
£70.95

In stock: ships within 24hrs

  • Full Description
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  • Table of Contents
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When we use a camera, we want the recorded image to be a faithful representation of the scene that we see, but every image is more or less blurry. 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 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.

This book's treatment of image deblurring is unique in two ways: it includes algorithmic and implementation details; and by keeping the formulations in terms of matrices, vectors, and matrix computations, it makes the material accessible to a wide range of readers. Students and researchers in engineering will gain an understanding of the linear algebra behind filtering methods, while readers in applied mathematics, numerical analysis, and computational science will be exposed to modern techniques to solve realistic large-scale problems in image processing.

With a focus on practical and efficient algorithms, Deblurring Images includes many examples, sample image data, and MATLAB codes that allow readers to experiment with the algorithms. It also incorporates introductory material, such as how to manipulate images within the MATLAB environment, making it a stand-alone text. Pointers to the literature are given for techniques not covered in the book.
Pages 144
Dimensions 229 x 152
Date Published 30 Oct 2006
Publisher SIAM - Society for Industrial and Applied Mathematics
Series Fundamentals of Algorithms
Series Part 3
Subject/s Applied mathematics   Information Science & Technology   Imaging systems & technology   Maths for engineers  
  • Preface
  • How to Get the Software
  • List of Symbols
  • Chapter 1: The Image Deblurring Problem
  • Chapter 2: Manipulating Images in MATLAB
  • Chapter 3: The Blurring Function
  • Chapter 4: Structured Matrix Computations
  • Chapter 5: SVD and Spectral Analysis
  • Chapter 6: Regularization by Spectral Filtering
  • Chapter 7: Color Images, Smoothing Norms, and Other Topics
  • Appendix: MATLAB Functions
  • Bibliography
  • Index.

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