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Look Inside Analytic Tomography

Analytic Tomography

Part of Encyclopedia of Mathematics and its Applications

Author: Andrew Markoe, Rider University, New Jersey

Date Published: August 2014
availability: Available
format: Paperback
isbn: 9781107438620

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About the Authors

This book is a comprehensive study of the Radon transform, which operates on a function by integrating it over hyperplanes. The book begins with an elementary and graphical introduction to the Radon transform, tomography and CT scanners, followed by a rigorous development of the basic properties of the Radon transform. Next the author introduces Grassmann manifolds in the study of the k-plane transform (a version of the Radon transform) which integrates over k-dimensional planes rather than hyperplanes. The remaining chapters are concerned with more advanced topics.
- Comprehensive coverage of the Radon transform
- Includes advanced topics such as the attenuated Radon transform and generalized Radon transforms
- Includes an informal, graphical introduction to how a CT scanner works
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Reviews & endorsements
'This book was written to appeal to the broadest possible group of readers. The first chapter, which introduces computerized tomography, X-ray imaging and the Radon transform requires almost no mathematical background.' L'enseignement mathematique
'The book is very carefully written and may be read at various levels. The bibliography is very detailed (it contains 630 items) and at the end of each chapter there is a section of additional references and results which constitute a guide for further study. In conclusion, this is a valuable book for everyone interested in Radon transforms and its applications, from beginners to experts.' Zentralblatt MATH
'I recommend this book for everybody interested in Radon transform or tomography. This book is great to get acquainted, get involved and start research but also good for researchers of any kind of Radon tranform.' Acta Scientiarum Mathematicarum
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Product details
- Date Published: August 2014
- format: Paperback
- isbn: 9781107438620
- length: 410 pages
- dimensions: 234 x 156 x 21 mm
- weight: 0.57kg
- availability: Available
Table of Contents
1. Computerized tomography, X-rays, and the Radon transform
2. The Radon transform
3. The k Plane transform, the Radon- John transform
4. Range and differential equations
5. Generalizations and variants of the Radon transform.
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Author
Andrew Markoe, Rider University, New Jersey
Professor Andrew Markoe is a Professor of Mathematics at Rider University, Lawrenceville, New Jersey. He lives in Lawrenceville, NJ with his wife and the youngest of his three daughters. He graduated with a B.S. in Mathematics from the City College of New York in 1964 and received his Ph.D. in Mathematics from Brown University in 1969. His fields of research include several complex variables, integral geometry and tomography. He is a member of the American Mathematical Society. His hobbies include playing Lacrosse, playing squash and flying.