The Mathematics of Computerized Tomography (Classics in Applied Mathematics)

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0898714931

The Mathematics of Computerized Tomography (Classics in Applied Mathematics): Frank Natterer
SIAM: Society for Industrial and Applied Mathematics | ISBN: 0898714931 | July 2001 | PDF (OCR) | 222 pages | 7448 KB

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. The Mathematics of Computerized Tomography 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. Audience: Applied mathematicians, physicists, and engineers working in image reconstruction will find this book particularly useful.

Book Description
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.



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