Radon Transforms and Tomography
ISBN-13:
9780821821350
ISBN-10:
0821821350
Author:
Leon Ehrenpreis, Eric Grinberg, Eric Todd Quinto, Adel Faridani, Fulton Gonzalez
Publication date:
2001
Publisher:
Amer Mathematical Society
Format:
Mass Market Paperback
261 pages
Category:
Transformations
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780821821350
ISBN-10:
0821821350
Author:
Leon Ehrenpreis, Eric Grinberg, Eric Todd Quinto, Adel Faridani, Fulton Gonzalez
Publication date:
2001
Publisher:
Amer Mathematical Society
Format:
Mass Market Paperback
261 pages
Category:
Transformations
,
Mathematics
Summary
Radon Transforms and Tomography (ISBN-13: 9780821821350 and ISBN-10: 0821821350), written by authors
Leon Ehrenpreis, Eric Grinberg, Eric Todd Quinto, Adel Faridani, Fulton Gonzalez, was published by Amer Mathematical Society in 2001.
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Description
One of the most exciting features of the fields of Radon transforms and tomography is the strong relationship between high-level pure mathematics and applications to areas such as medical imaging and industrial nondestructive evaluation. The proceedings featured in this volume bring together fundamental research articles in the major areas of Radon transforms and tomography. This volume includes expository papers that are of special interest to beginners as well as advanced researchers. Topics include local tomography and wavelets, Lambda tomography and related methods, tomographic methods in RADAR, ultrasound, Radon transforms and differential equations, and the Pompeiu problem. The major themes in Radon transforms and tomography are represented among the research articles.Pure mathematical themes include vector tomography, microlocal analysis, twistor theory, Lie theory, wavelets, harmonic analysis, and distribution theory. The applied articles employ high-quality pure mathematics to solve important practical problems. Effective scanning geometries are developed and tested for a NASA wind tunnel. Algorithms for limited electromagnetic tomographic data and for impedance imaging are developed and tested. Range theorems are proposed to diagnose problems with tomography scanners. Principles are given for the design of X-ray tomography reconstruction algorithms, and numerical examples are provided. This volume offers readers a comprehensive source of fundamental research useful to both beginners and advanced researchers in the fields.
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