Science Book from C.H.I.P.S.
 |
Foundations of Image Science
by Harrison H. Barrett
Foundations of Image Science presents a comprehensive treatment of the principles, mathematics, and statistics needed to understand and evaluate imaging systems.
The book is the first to provide a thorough treatment of the continuous-to-discrete, or CD, model of digital imaging.
Foundations of Image Science covers:
- Mathematical Foundations: Examines the essential mathematical foundations of image science
- Image Formation–Models and Mechanisms: Presents a comprehensive and unified treatment of the mathematical and statistical principles of imaging, with an emphasis on digital imaging systems and the use of SVD methods
- Image Quality: Provides a systematic exposition of the methodology for objective or task-based assessment of image quality
- Applications: Presents detailed case studies of specific direct and indirect imaging systems and provides examples of how to apply the various mathematical tools covered in the book
- Appendices: Covers the prerequisite material necessary for understanding the material in the main text, including matrix algebra, complex variables, and the basics of probability theory
Contents
1. Vectors and Operators
- Linear Vector Spaces
- Types of Operators
- Hilbert-Space Operators
- Eigenanalysis
- Singular-Value Decomposition
- Moore-Penrose Pseudoinverse
- Pseudoinverses and Linear Equations
- Reproducing-Kernel Hilbert Space
2. The Dirac Delta and Other Generalized Functions
- Theory of Distributions
- One-Dimensional Delta Function
- Other Generalized Functions in 1D
- Multidimensional Delta Functions
3. Fourier Analysis
- Sines, Cosines and Complex Exponentials
- Fourier Series
- 1D Fourier Transform
- Multidimensional Fourier Tranforms
- Sampling Theory
- Discrete Fourier Transform
4. Series Expansions and Integral Tranforms
- Expansions in Orthogonal Functions
- Classical Integral Transforms
- Fresnel Integrals and Transforms
- Radon Transform
5. Mixed Representations
- Local Spectral Analysis
- Bilinear Transforms
- Wavelets
6. Group Therapy
- Basic Concepts
- Subgroups and Classes
- Group Representations
- Some Finite Groups
- Continious Groups
- Groups of Operators on a Hilbert Space
- Quatum Mechanics and Image Science
- Functions and Transforms on Groups
7. Deterministic Descriptions of Imaging Systems
- Objects and Images
- Linear Continuous-to-Continuous Systems
- Linear Continuous-to-Discrete Systems
- Linear Discrete-to-Discrete Systems
- Nonlinear Systems
8. Stochastic Descriptions of Objects and Images
- Random Vectors
- Random Processes
- Normal Random Vectors and Processes
- Stochastic Models for Objects
- Stochastic Models for Images
9. Difraction Theory and Imaging
- Wave Equations
- Plane Waves and Spherical Waves
- Green's Functions
- Difraction by a Planar Aperture
- Difraction in the Frequency Domain
- Imaging of Point Objects
- Imaging of Extended Planar Objects
- Volume Difraction and 3D Imaging
10. Energy Transport and Photons
- Electromagnetic Energy Flow and Detection
- Radiometric Quatities and Units
- Boltzmann Transport Equation
- Transport Theory and Imaging
11. Poisson Statistics and Photon Counting
- Poisson Random Variables
- Poisson Random Vectors
- Random Point Processes
- Random Amplification
- Quantum Mechanics of Photon Counting
12. Noise in Detectors
- Photon Noise and Shot Noise in Photodiodes
- Other Noise Mechanisms
- X-Ray and Gamma-Ray Detectors
13. Statistical Decision Theory
- Basic Concepts
- Classification Tasks
- Estimation Theory
14. Image Quality
- Survey of Approaches
- Human Observers and Classification Tasks
- Model Observers
- Sources of Images
15. Inverse Problems
- Basic Concepts
- Linear Reconstruction Operators
- Implicit Estimates
- Iterative Algorithms
16. Planar Imaging with X Rays and Gamma Rays
- Digital Radiography
- Planar Imaging in Nuclear Medicine
17. Single-Photon Emission Computed Tomography
- Forward Problems
- Inverse Problems
- Noise and Image Quality
18. Coherent Imaging And Speckle
- Basic Concepts
- Speckle in a Nonimaging System
- Speckle in an Imaging System
- Noise and Image Quality
- Point-Scattering Models and Non-Gaussian Speckle
- Coherent Ranging
19. Imaging in Fourier Space
- Fourier Modulators
- Interferometers
Appendices
Index
click here 
to see books of related interest
|
Foundations of Image Science
by Harrison H. Barrett
1,540 pages • $181.95 + shipping
Texas residents please add 6.75 % sales tax
|
|