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Computed Radiation Imaging
Physics and Mathematics of Forward and Inverse Problems
- 1st Edition - May 27, 2011
- Author: Esam M A Hussein
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 3 8 7 7 7 7 - 2
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 1 6 5 2 9 - 7
- eBook ISBN:9 7 8 - 0 - 1 2 - 3 8 7 7 7 8 - 9
Computer-assisted imaging with radiation (x- and gamma rays) is an integral part of modern medical-diagnostic practice. This imaging technology is also slowly finding its way in… Read more
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Request a sales quoteComputer-assisted imaging with radiation (x- and gamma rays) is an integral part of modern medical-diagnostic practice. This imaging technology is also slowly finding its way into industrial applications. Although the technology is well developed, there is a need for further improvement to enhance image quality, reduce artifacts, minimize patient radiation exposure, compete with and complement other imaging methods (such as magnetic resonance imaging and ultrasonics), and accommodate dense and large objects encountered in industrial applications.Scientists and engineers, attempting to progress this technology, are faced with an enormous amount of literature, addressing the imaging problem from various view points. This book provides a single source that addresses both the physical and mathematical aspects of the imaging problem in a consistent and comprehensive manner.
- Discusses the inherent physical and numerical capabilities and limitations of the methods presented for both the forward and inverse problems
- Provides information on available Internet resources and software
- Written in a manner that makes it readable by physicists, mathematicians, engineers and computer scientists – avoids, as much as possible, the use of specialized terminology without clear introduction and definition
Researchers working in the field of radiation-based imaging
Preface1. Radiation Imaging 1.1. Why Radiation?1.2. Imaging Modalities1.3. Direct and Reconstructed Imaging1.4. The Forward and Inverse Problems1.5. Forward and Inverse MappingIntroduction2. Radiation Transport 2.1. Introduction2.2. Variables2.3. Cross Sections2.4. Boltzmann Transport Equation2.5. Source-Free Steady-State Problem2.6. Steady-State Problem in Void2.7. Point-Kernel Method2.8. Charged Particles3. Measurement Models 3.1. Formulation3.2. Scaling3.3. Measured Response3.4. Sensitivity3.5. Variability3.6. Components3.7. Image Grid3.8. Idealization3.9. Computer Coding4. Transmission 4.1. Basic Model4.2. Physical Relevance4.3. Discretization4.4. Nature of Radiation Source4.5. Secondary Radiation4.6. Scattering4.7. Sensitivity4.8. Variability5. Emission 5.1. Embedded Radiation5.2. Induced Emission5.3. Discretization5.4. Sensitivity5.5. Sources5.6. Interfering Effects6. Scattering 6.1. Introduction6.2. Single-Scattering Model6.3. Multiple Scattering6.4. Compton Scattering6.5. Neutron Elastic Scattering6.6. Discretization6.7. SensitivityIntroduction7. Features 7.1. Discretization7.2. Well-Posed Problem7.3. Existence7.4. Uniqueness7.5. Continuity7.6. Ill-Posed Problem7.7. Ill-Conditioning7.A. Basics of Functional Analysis8. Formulation 8.1. Matrix8.2. Functional8.3. Analytic8.4. Probabilistic8.A. Probabilistic Basis of Maximum-Likelihood and Least-Squares Methods9. Preprocessing of Measurements 9.1. Number of Measurements9.2. Frequency Analysis9.3. Spatial Filtering of Noise9.4. Consistency and Smoothing10. Matrix-Based Methods 10.1. Error Propagation10.2. Singular Value Decomposition10.3. Least Squares10.4. Regularization Methods10.5. Regularization-Parameter Determination10.6. Iterative Methods10.7. Nonlinear Problems10.8. Software11. Functional Optimization 11.1. Formulation11.2. Effect of Number of Measurements11.3. Sensitivity to Measurement Uncertainty11.4. Minimization11.5. Search Methods11.6. Genetic Evolution11.7. Simulated Annealing11.8. Neural Networks12. Analytic Methods 12.1. Radon Transform12.2. Two-Dimensional Fourier Transforms12.3. Backprojection12.4. Fan-Beam Transmission Tomography12.5. Cone-Beam Transmission Tomography12.6. Emission Imaging12.7. Scatter Imaging12.8. Computer Codes12.9. Wavelet Transforms13. Probabilistic Methods 13.1. Bayesian - Minimum Information13.2. Poisson Distribution13.3. Normal Distribution13.4. Maximum a posteriori (map)13.5. The Monte Carlo Method14. Incomplete Problems 14.1. Incompleteness14.2. General Solution Methods14.3. Estimation Maximization14.4. Markov Random Fields15. Testing 15.1. Ideal Problem15.2. Noisy-Ideal Problem15.3. Independently-Simulated-Data Problem15.4. Laboratory Problem15.5. Image Quality15.6. Test Objects16. Post-Processing 16.1. Image Convolution16.2. Image Degradation16.3. Frequency Filtering16.4. Matrix Based16.5. Statistical Methods16.6. Optimization16.7. Blind DeconvolutionBibliography
- No. of pages: 302
- Language: English
- Edition: 1
- Published: May 27, 2011
- Imprint: Elsevier
- Hardback ISBN: 9780123877772
- Paperback ISBN: 9780323165297
- eBook ISBN: 9780123877789
EH
Esam M A Hussein
Affiliations and expertise
University of New Brunswick, Fredericton, NB CanadaRead Computed Radiation Imaging on ScienceDirect