Tomography, Impedance Imaging, and Integral Geometry

Released on by Eric Todd Quinto
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  • Tomography, Impedance Imaging, and Integral Geometry Book Detail

  • Author : Eric Todd Quinto
  • Release Date : 1991
  • Publisher : American Mathematical Soc.
  • Genre : Medical
  • Pages : 300
  • ISBN 13 : 9780821896990
  • File Size : 92,92 MB
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Tomography, Impedance Imaging, and Integral Geometry by Eric Todd Quinto PDF Summary

Book Description: 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.

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This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of

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Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathema