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This revised and updated text presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. New topics: the fast calculation of a ray sum for a digitized picture, the task-oriented comparison of reconstruction algorithm performance, blob basis functions and the linogram method for image reconstruction. Features: Describes how projection data are obtained and the resulting reconstructions are used; Presents a comparative evaluation of reconstruction methods; Investigates reconstruction algorithms; Explores basis functions, functions to be optimized, norms, generalized inverses, least squares solutions, maximum entropy solutions, and most likely estimates; Discusses SNARK09, a large programming system for image reconstruction; Concludes each chapter with helpful Notes and References sections. An excellent guide for practitioners, it can also serve as a textbook for an introductory graduate course.
List of contents
An Overview of the Process of CT.- Physical Problems Associated with Data Collection in CT.- Computer Simulation of Data Collection in CT.- Data Collection and Reconstruction of the Head Phantom.- Basic Concepts of Reconstruction Algorithms.- Backprojection.- Filtered Backprojection for Parallel Beams.- Other Transform Methods for Parallel Beams.- Filtered Backprojection for Divergent Beams.- Algebraic Reconstruction Techniques.- Quadratic Optimization Methods.- Truly Three-Dimensional Reconstruction.- Three-Dimesional Display of Organs.- Mathematical Background.
Summary
This revised and updated second edition – now with two new chapters - is the only book to give a comprehensive overview of computer algorithms for image reconstruction. It covers the fundamentals of computerized tomography, including all the computational and mathematical procedures underlying data collection, image reconstruction and image display. Among the new topics covered are: spiral CT, fully 3D positron emission tomography, the linogram mode of backprojection, and state of the art 3D imaging results. It also includes two new chapters on comparative statistical evaluation of the 2D reconstruction algorithms and alternative approaches to image reconstruction.
Additional text
From the reviews of the first edition.
"... the author is a giant in the field. One expects an exciting book and one is not disappointed."
S. Webb, Physics in Medicine and Biology, v. 26. p. 721, 1981.
"... the book is an excellent introduction to the subject and is well written, thoughtfully organized, and a pleasure to read."
M.W. Vannier, The Journal of Nuclear Medicine, v. 23, p. 369, 1982.
"On the one hand the book is well suited for a course on computerized tomography at the graduate level, on the other hand I found it a well balanced review on the subject for somebody outside the field."
W.N Brouw, Space Science Reviews, v.32. p. 467, 1982.
"This book will be valuable to the engineer, the physicist, the mathematician, and the physician (with a sufficient mathematical background) interested in the field of CT."
M.M. Ter-Pogossian, Medical Physics, v. 11, p. 90, 1984.
Report
From the reviews of the first edition.
"... the author is a giant in the field. One expects an exciting book and one is not disappointed."
S. Webb, Physics in Medicine and Biology, v. 26. p. 721, 1981.
"... the book is an excellent introduction to the subject and is well written, thoughtfully organized, and a pleasure to read."
M.W. Vannier, The Journal of Nuclear Medicine, v. 23, p. 369, 1982.
"On the one hand the book is well suited for a course on computerized tomography at the graduate level, on the other hand I found it a well balanced review on the subject for somebody outside the field."
W.N Brouw, Space Science Reviews, v.32. p. 467, 1982.
"This book will be valuable to the engineer, the physicist, the mathematician, and the physician (with a sufficient mathematical background) interested in the field of CT."
M.M. Ter-Pogossian, Medical Physics, v. 11, p. 90, 1984.
