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The Radon Transform and Medical Imaging

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by Peter Kuchment


2014 / xvi + 240 pages / Softcover / ISBN: 978-1-611973-28-0 / List Price $87.50 / SIAM Member Price $61.25 / Order Code CB85

Keywords:  radon trasform, tomography, medical imaging, inverse problems


This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography.

The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods.

For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.

Graduate students and researchers in mathematics, physics, and engineering who are interested in the mathematics behind medical imaging will find this book useful.

About the Author
Peter Kuchment is a Distinguished Professor in the Mathematics Department of Texas A&M University. He is a Fellow of both the American Mathematical Society and the Institute of Physics. His work is focused in the areas of mathematical physics, partial differential equations, spectral theory, medical imaging, and the enhancement of K-12 education in mathematics. He has authored more than 150 publications, including the books Floquet Theory for Partial Differential Equations (Birkhauser, 1993) and Introduction to Quantum Graphs (joint with G. Berkolaiko; American Mathematical Society, 2013).

ISBN: 9781611973280

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