The Mathematics of Computerized Tomography
Title
The Mathematics of Computerized Tomography (Classics in Applied Mathematics, Series Number 32)
Author
Frank Natterer
Publisher
SIAM: Society for Industrial and Applied Mathematics
Summary
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.
ISBN
- 0898714931
- 978-0898714937
Link
https://www.amazon.com/Mathematics-Computerized-Tomography-Classics-Applied/dp/0898714931