The Mathematics of Computerized Tomography

Provides a unified view of tomographic techniques, a common mathematical framework, and an in-depth treatment of reconstruction algorithms, focusing on the reconstruction of a function from line or plane integrals, with special emphasis on applications in radiology, science, and engineering. It covers the relevant mathematical theory of the Radon transform and related transforms and also studies more practical questions such as stability, sampling, resolution, and accuracy. Quite a bit of attention is given to the derivation, analysis, and practical examination of reconstruction algorithms, for both standard problems and problems with incomplete data.