Description

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.

Key Features

  • 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

Readership

Postgraduates studying physics, electronic engineering, telecommunications engineering, information technology, and computer science

Table of Contents

  • About the Author
  • Foreword
  • Preface
  • Acknowledgements
  • Notation
    • Alphabetical
    • Greek
    • Operators
  • Glossary
    • Mathematical and Statistical
    • Computer Science
    • Organizational and Standards
  • Introduction
    • Imaging Science
    • Signals and Images
    • Image Formation
    • Image Information
    • Image Analysis
    • Digital Image Processing
    • Fundamental Problems
    • About this Book
    • Summary of Important Results
  • Part I: Mathematical and Computational Background
    • Chapter 1: Vector Fields
      • 1.1 Scalar Fields
      • 1.2 Vector Fields
      • 1.3 The Divergence Theorem
      • 1.4 Summary of Important Results
    • Chapter 2: 2D Fourier Theory
      • 2.1 The 2D Complex Fourier Series
      • 2.2 The 2D Delta Function
      • 2.3 The 2D Fourier Transform
      • 2.4 Physical Representation
      • 2.5 The Spectrum
      • 2.6 Definitions and Notation
      • 2.7 Some Important Results
      • 2.8 Some Important Theorems
      • 2.9 Convolution and Correlation
      • 2.10 Convolution and Correlation Theorems
      • 2.11 Other Integral Transforms
      • 2.12 Discussion
      • 2.13 Summary of Important Results
    • Chapter 3: The 2D DFT, FFT and FIR Filter
      • 3.1 The Discrete Fourier Transform
      • 3.2 The Sampling Theorem
      • 3.3 The Discrete Spectrum of a Digital Image
      • 3.4 The Fast Fourier Transform
      • 3.5 The Imaging Equation and Convolution in 2D
      • 3.6 The Finite Impulse Response Filter
      • 3.7 Origin of the Imaging Equation
      • 3.8 Summary of Important Results
    • Chapter 4: Field and Wave Equations
      • 4.1 The Langevin Equation
      • 4.2 Maxwell’s Equations
      • 4.3 General Solution t

Details

No. of pages:
824
Language:
English
Copyright:
© 2006
Published:
Imprint:
Woodhead Publishing
eBook ISBN:
9780857099464
Print ISBN:
9781898563495

About the author

J M Blackledge

Jonathan M. Blackledge, Loughborough University, UK

Affiliations and Expertise

Loughborough University, UK