The Radon Transform and Some of Its Applications

Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications. It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in 1983. This edition is his revised and updated version.
In addition to presenting background on the properties of the Radon transform itself—complete with examples that demonstrate the more subtle points—this book illustrates numerous applications and offers extensive guidance to related literature. Beginning with major applications in medicine, optics, astronomy, and other fields, it progresses to formal definitions of the transform and related properties. Subsequent chapters cover relationships with other transforms, inversion, series methods, and recent developments. Clear, easy to read, and well organized, the mathematical treatment is accessible to a wide audience. Helpful appendixes include a translation of the 1917 paper by J. Radon that announced the transform's discovery, plus practical information on generalized and special functions.
1000760258
The Radon Transform and Some of Its Applications

Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications. It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in 1983. This edition is his revised and updated version.
In addition to presenting background on the properties of the Radon transform itself—complete with examples that demonstrate the more subtle points—this book illustrates numerous applications and offers extensive guidance to related literature. Beginning with major applications in medicine, optics, astronomy, and other fields, it progresses to formal definitions of the transform and related properties. Subsequent chapters cover relationships with other transforms, inversion, series methods, and recent developments. Clear, easy to read, and well organized, the mathematical treatment is accessible to a wide audience. Helpful appendixes include a translation of the 1917 paper by J. Radon that announced the transform's discovery, plus practical information on generalized and special functions.
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The Radon Transform and Some of Its Applications

The Radon Transform and Some of Its Applications

by Stanley R. Deans
The Radon Transform and Some of Its Applications

The Radon Transform and Some of Its Applications

by Stanley R. Deans

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$17.95 
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Overview


Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications. It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in 1983. This edition is his revised and updated version.
In addition to presenting background on the properties of the Radon transform itself—complete with examples that demonstrate the more subtle points—this book illustrates numerous applications and offers extensive guidance to related literature. Beginning with major applications in medicine, optics, astronomy, and other fields, it progresses to formal definitions of the transform and related properties. Subsequent chapters cover relationships with other transforms, inversion, series methods, and recent developments. Clear, easy to read, and well organized, the mathematical treatment is accessible to a wide audience. Helpful appendixes include a translation of the 1917 paper by J. Radon that announced the transform's discovery, plus practical information on generalized and special functions.

Product Details

ISBN-13: 9780486462417
Publisher: Dover Publications
Publication date: 10/19/2007
Series: Dover Books on Mathematics Series
Pages: 304
Product dimensions: 6.14(w) x 9.21(h) x (d)

Table of Contents


1. Major Fields of Application
2. Definition of the Radon Transform
3. Basic Properties
4. Relation to Other Transforms
5. Inversion
6. Recent Development of Inversion Methods
7. Series Methods
8. More Properties, Applications, and Generalizations
Appendix A. Translation of Radon's 1917 Paper
Appendix B. Generalized Functions
Appendix C. Special Functions
References
Additional and Recent References
Index
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