Tomography, Impedance Imaging, and Integral Geometry: 1993 Ams-Siam Summer Seminar in Applied Mathematics on Tomography, Impedance Imaging, and Inte (Lectures in Applied Mathematics) by Eric Todd Quinto - PDF and EPUB eBook

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One of the most exciting features of tomography is the strong relationship between high-level pure mathematics (such as...

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Details of Tomography, Impedance Imaging, and Integral Geometry: 1993 Ams-Siam Summer Seminar in Applied Mathematics on Tomography, Impedance Imaging, and Inte (Lectures in Applied Mathematics)

Exact title of the book
Tomography, Impedance Imaging, and Integral Geometry: 1993 Ams-Siam Summer Seminar in Applied Mathematics on Tomography, Impedance Imaging, and Inte (Lectures in Applied Mathematics)
Book author
Eric Todd Quinto
Book edition
Paperback
Number of pages
287 pages
Published
December 28th 1994 by Amer Mathematical Society
File size (in PDF)
1148 kB
Tomography, Impedance Imaging, and Integral Geometry: 1993 Ams-Siam Summer Seminar in Applied Mathematics on Tomography, Impedance Imaging, and Inte (Lectures in Applied Mathematics)

Some brief overview of book

One of the most exciting features of tomography is the strong relationship between high-level pure mathematics (such as harmonic analysis, partial differential equations, microlocal analysis, and group theory) and applications to medical imaging, impedance imaging, radiotherapy, and industrial nondestructive evaluation. This book contains the refereed proceedings of the AMS-SIAM Summer Seminar on Tomography, Impedance Imaging, and Integral Geometry, held at Mount Holyoke College in June 1993. A number of common themes are found among the papers.

Group theory is fundamental both to tomographic sampling theorems and to pure Radon transforms. Microlocal and Fourier analysis are important for research in all three fields. Differential equations and integral geometric techniques are useful in impedance imaging.

In short, a common body of mathematics can be used to solve dramatically different problems in pure and applied mathematics. Radon transforms can be used to model impedance imaging problems. These proceedings include exciting results in all three fields represented at the conference.