Elsevier Inc., Amsterdam, London, New York, 2011, 303 pp. - ISBN
978-0-12-387777-2
This book provides a framework for the computed imaging problem by presenting it as a "forward" (direct) problem, and as an "inverse" problem. The forward problem tackles the physical aspects of imaging via mathematical models that relate the to-be-imaged physical parameters to the collected measurements. The inverse problem reconstructs numerically the imaged parameters from the measurements. This categorization is not new and is used in the solution of the inverse problem of image reconstruction.
This book is directed toward graduate students and researchers.
Imaging with atomic/nuclear radiation takes two forms: (1) a direct imprint as in radiography, or (2) a computed image as in computed tomography (CT) scans. Both forms of imaging are an integral part of mode medical-diagnostic practice, and are utilized in research and industrial imaging.
Therefore, radio-graphic imaging does not require much post-exposure numerical processing to extract the image features. In the case of computed radiography (CR), some computations are done to enhance the image quality and enable image manipulation, but such computations are not essential for producing the raw image. In digital radiography (DR), X-rays are captured directly, providing a digital image (without intermediate storage) that can also be numerically manipulated for optimum viewing.
Contents
Preface
Radiation Imaging
Part 1 - The Forward Problem
Radiation Transport
Measurement Models
Transmission
Emission
Scattering
Part 2 - The Inverse Problem
Features
Formulation
Preprocessing of Measurements
Matrix-Based Methods
Functional Optimization
Analytic Methods
Probabilistic Methods
Incomplete Problems
Testing
Post-Processing: Image Enhancement
Bibliography
This book provides a framework for the computed imaging problem by presenting it as a "forward" (direct) problem, and as an "inverse" problem. The forward problem tackles the physical aspects of imaging via mathematical models that relate the to-be-imaged physical parameters to the collected measurements. The inverse problem reconstructs numerically the imaged parameters from the measurements. This categorization is not new and is used in the solution of the inverse problem of image reconstruction.
This book is directed toward graduate students and researchers.
Imaging with atomic/nuclear radiation takes two forms: (1) a direct imprint as in radiography, or (2) a computed image as in computed tomography (CT) scans. Both forms of imaging are an integral part of mode medical-diagnostic practice, and are utilized in research and industrial imaging.
Therefore, radio-graphic imaging does not require much post-exposure numerical processing to extract the image features. In the case of computed radiography (CR), some computations are done to enhance the image quality and enable image manipulation, but such computations are not essential for producing the raw image. In digital radiography (DR), X-rays are captured directly, providing a digital image (without intermediate storage) that can also be numerically manipulated for optimum viewing.
Contents
Preface
Radiation Imaging
Part 1 - The Forward Problem
Radiation Transport
Measurement Models
Transmission
Emission
Scattering
Part 2 - The Inverse Problem
Features
Formulation
Preprocessing of Measurements
Matrix-Based Methods
Functional Optimization
Analytic Methods
Probabilistic Methods
Incomplete Problems
Testing
Post-Processing: Image Enhancement
Bibliography