Digital image processing mathematical and computational methods

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 phy...

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Bibliographic Details
Main Author: Blackledge, J. M.
Format: eBook
Language:English
Published: Chichester Horwood Publishing 2005, 2005
Series:Woodhead Publishing Series in Electronic and Optical Materials
Subjects:
Online Access:
Collection: Elsevier ScienceDirect eBooks - Collection details see MPG.ReNa
Table of Contents:
  • Includes index
  • Imaging the Ionosphere; 7.7 Case Study: Radar Plasma Screening
  • 3.4 The Fast Fourier Transform3.5 The Imaging Equation and Convolution in2D; 3.6 The Finite Impulse Response Filter; 3.7 Origin of the Imaging Equation; 3.8 Summary of Important Results; 3.9 Further Reading; Chapter 4 Field and Wave Equations; 4.1 The Langevin Equation; 4.2 Maxwell's Equations; 4.3 General Solution to Maxwell's (Micro-scopic) Equations; 4.4 The Macroscopic Maxwell's Equations; 4.5 EM Waves in a Homogeneous Medium; 4.6 EM Waves in an Inhomogeneous Medium; 4.7 Elastic Field Equations; 4.8 Inhomogeneous Elastic Wave Equation; 4.9 Acoustic Field Equations; 4.10 Discussion
  • Chapter 2 2D Fourier Theory2.1 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; 2.14 Further Reading; 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
  • Cover; Dedication; ABOUT THE AUTHOR; DIGITAL IMAGE PROCESSING:Mathematical and Computational Methods; Copyright; Foreword; Preface; Acknowledgements; Notation; Glossary; Contents; Introduction; Imaging Science; Signals and Images; Image Formation; Image Information; Image Analysis; Digital Image Processing; Fundamental Problems; About this Book; Summary of Important Results; Further Reading; 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; 1.5 Further Reading
  • Part I; Part II Imaging Systems Modelling