The Mathematics of Computerized Tomography
The Mathematics of Computerized Tomography
Frank Natterer, Westfälische Wilhelms-Universität Münster, Germany
June 2001
Paperback
9780898714937
$96.00
USDPaperback
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
- Provides a unified view of tomographic techniques, a common mathematical framework, and an in-depth treatment of reconstruction algorithms
- Attention is given to the derivation, analysis, and practical examination of reconstruction algorithms, for both standard problems and problems with incomplete data
Product details
June 2001Paperback
9780898714937
184 pages
228 × 152 × 8 mm
0.333kg
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Table of Contents
- Preface
- 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.
