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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester :
Horwood Publishing,
2005.
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| Colección: | Woodhead Publishing series in electronic and optical materials.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.
- 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.
- 4.11 Summary of Important Results4.12 Further Reading; Chapter 5 Green Functions; 5.1 Overview; 5.2 Introduction to the Green Function; 5.3 The Time Independent Wave Operator; 5.4 Wavefields Generated by Sources; 5.5 Time Dependent Green Function; 5.6 Time Dependent Sources; 5.7 Green Function Solution to Maxwell'sEquation; 5.8 The Diffusion Equation; 5.9 Green Function Solution to the DiffusionEquation; 5.10 The Laplace and Poisson Equations; 5.11 Discussion; 5.12 Summary of Important Results; 5.13 Further Reading; Problems: Part I; Part II Imaging Systems Modelling.
- Chapter 6 Scattering Theory6.1 The Schrodinger and Helmholtz Equations; 6.2 Solution to the Helmholtz Equation; 6.3 Examples of Born Scattering; 6.4 Other Approximation Methods; 6.5 The Born Series; 6.6 Inverse Scattering; 6.7 Surface Scattering Theory; 6.8 Summary of Important Results; 6.9 Further Reading; Chapter 7 Imaging of Layered Media; 7.1 Pulse-Echo Imaging; 7.2 EM Imaging of a Layered Dielectric; 7.3 Acoustic Imaging of a Layered Material; 7.4 Side-band Systems and Demodulation; 7.5 Some Applications; 7.6 Case Study: Imaging the Ionosphere; 7.7 Case Study: Radar Plasma Screening.