This revised and updated edition presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. New topics include fast calculation of a ray sum in a digitized image and the task-oriented comparison of reconstruction algorithm performance.

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.

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.

Klappentext

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.

Inhalt
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.