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The Mathematics of Computerized Tomography

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By Frank Natterer

2001 / xviii + 222 pages / Softcover / ISBN-13: 978-0-898714-93-7 /  List Price $92.50 / SIAM Member Price $64.75 / Order Code CL32

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.

Applied mathematicians, physicists, and engineers working in image reconstruction will find this book particularly useful.

Preface to the Classics Edition; Preface; Glossary of Symbols; Errata; Part I: Computerized Tomography; Part II: The Radon Transform and Related Transforms; Part III: Sampling and Resolution; Part IV: Ill-Posedness and Accuracy; Part V: Reconstruction Algorithms; Part VI: Incomplete Data; Part VII: Mathematical Tools; References; Index.

ISBN-13: 9780898714937

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