The Mathematics of Computerized Tomography

Frank Natterer (Autor)

Buch | Softcover

184 Seiten

2001
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-493-7 (ISBN)

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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.

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.

Reihe/Serie	Classics in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	152 x 228 mm
Gewicht	333 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Medizin / Pharmazie ► Gesundheitsfachberufe ► MTA - Radiologie
ISBN-10	0-89871-493-1 / 0898714931
ISBN-13	978-0-89871-493-7 / 9780898714937
Zustand	Neuware