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The Mathematics of Computerized Tomography
Frank Natterer
出版SIAM, 2001-06-01
主題Mathematics / Discrete MathematicsComputers / Software Development & Engineering / Computer GraphicsMedical / Diagnostic Imaging / GeneralMathematics / Applied
ISBN08987149319780898714937
URLhttp://books.google.com.hk/books?id=jFAKRAdoR_gC&hl=&source=gbs_api
EBookSAMPLE
註釋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.