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- The Mathematics of Computerized Tomography

2001 / xviii + 222 pages / Softcover / ISBN-13: 978-0-898714-93-7 / List Price $89.50 / SIAM Member Price $62.65 / **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.

**Audience**

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

**Contents**

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