The Mathematics of Computerized Tomography (Classics in Applied Mathematics) |  | Author: Frank Natterer
Publisher: SIAM: Society for Industrial and Applied Mathematics
List Price: $78.50
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Rating:  1 reviews
Sales Rank: 1088603
Media: Paperback
Pages: 222
Number Of Items: 1
Shipping Weight (lbs): 0.8
Dimensions (in): 9.2 x 6.1 x 0.5
ISBN: 0898714931
Dewey Decimal Number: 616.075720151
EAN: 9780898714937
ASIN: 0898714931
Publication Date: July 2001
Availability: Usually ships in 1-2 business days
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| Editorial Reviews:
Product Description
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.
Book Description
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.
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| Customer Reviews:
A must read for students of the Radon transform May 28, 2000
10 out of 10 found this review helpful
For the student of the Radon transform and its many applications, this book is a must. It's all here: the Radon transform in a multidimensional setting, the X-ray transform (a closely related transform), general theorems for the Fourier transform of the Radon transform, and theorems on the range of the Radon transform. The author also covers sampling theorems, ill-posed problems, orthogonal functions, and tomography for incomplete sampling. He also offers much material on other allied transforms, the exponential Radon transform and the Radon transform for nonuniform attenuation, one of the major unsolved problems of mathematical physics.This book is also an example of how a minimal and succinct notation can actually affect the way one approaches the research and thinks about problems. This is worth the price of the book alone. Nowhere else will you find such clear, brief exposition of many difficult theorems associated with the Radon transform. Initially, it is difficult to learn the author's notation, but once this barrier has been surmounted, it is clear sailing. The author also demonstrates a depth of knowledge of many areas of mathematics.
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