The Mathematics of Computerized Tomography

Details the reconstruction of a function from line or plane integrals, with special emphasis on applications in science, radiology and engineering. Both the relevant mathematical theory of the Radon transform and related transforms, and practical questions such as sampling, resolution, stability, and accuracy, are covered. Much space is given to the derivation, analysis and practical examination of reconstruction algorithms, both for standard problems and problems with incomplete data.

This book provides a unified view of tomographic techniques, a common mathematical framework, and an in-depth treatment of reconstruction algorithms. It focuses on the reconstruction of a function from line or plane integrals, with special emphasis on applications in radiology, science, and engineering.