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Digital image processing: Mathematical and computational methods

J M Blackledge, Loughborough University, UK

Woodhead Publishing Series in Electronic and Optical Materials No. 9

 - provides mathematical methods required to describe images, image formation and different imaging systems
 - outlines the principle techniques used for processing digital images
 - relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems
 - part two of a complete MSc course

This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems. Case studies reinforce the methods discussed, with examples of current research themes.

ISBN 1 898563 49 7
ISBN-13: 978 1 898563 49 5
November 2005
824 pages  234 x 156mm  paperback  
£80.00 / US$135.00 / €95.00

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About the author

Jonathan M Blackledge, Loughborough University, UK

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Contents

PART 1 MATHEMATICAL AND COMPUTATIONAL BACKGROUND
PART 2 IMAGING SYSTEMS MODELLING
PART 3 DIGITAL IMAGE PROCESSING METHODS
PART 4 PATTERN RECOGNITION AND COMPUTER VISION

Introduction

PART 1 MATHEMATICAL AND COMPUTATIONAL BACKGROUND

Vector fields

2D Fourier theory

The 2D DFT, FFT and FIR filter

Field and wave equations

Green functions

PART 2 IMAGING SYSTEMS MODELLING

Scattering theory

Imaging of layered media

Projection tomography

Diffraction tomography

Synthetic aperture imaging

Optical image formation

PART 3 DIGITAL IMAGE PROCESSING METHODS

Image restoration and reconstruction

Reconstruction of band-limited images

Bayesian estimation methods

Image enhancement

PART 4 PATTERN RECOGNITION AND COMPUTER VISION

Segmentation and edge detection

Statistical modelling and analysis

Fractal images and image processing

Coding and compression

Summary

Appendix A Solutions to Problems

Appendix B Supplementary Problems

Appendix C Fourier Transform of a Fractal

Appendix D I/O and Graphics Utilities