The Mathematics of Computerized Tomography |  | Author: F. Natterer
Publisher: John Wiley & Sons Inc
List Price: $298.00
Buy Used: $54.96
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Seller: laughingravenbooks
Rating:  1 reviews
Sales Rank: 3257264
Media: Hardcover
Pages: 232
Number Of Items: 1
Shipping Weight (lbs): 1
Dimensions (in): 9.1 x 5.9 x 0.7
ISBN: 0471909599
Dewey Decimal Number: 616.07572
EAN: 9780471909590
ASIN: 0471909599
Publication Date: September 1986
Availability: Usually ships in 1-2 business days
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Product Description
The central subject of this book is the reconstruction of a function from line or plane integrals, with special emphasis on applications in science, radiology and engineering. It not only covers the relevant mathematical theory of the Radon transform and related transforms, but also studies more practical questions such as sampling, resolution, stability and accuracy. Much of the book is devoted to the derivation, analysis and practical examination of reconstruction algorithms, both for standard problems and problems with incomplete data. An appendix gives a brief review of the mathematical background needed, making the book self-contained. Also included is a four- page section of colour plates showing the results of image reconstruction by various methods, using both complete and incomplete data.
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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