Tomography, impedance imaging, and integral geometry
Subtitle: 1993 AMS-SIAM Summer Seminar on the Mathematics of Tomography, Impedance Imaging, and Integral Geometry, June 7-18, 1993, Mount Holyoke College, Massachusetts
By: Eric Todd Quinto, Margaret Cheney, Peter Kuchment, editors.
Contributors: Quinto, Eric Todd, 1951-; Cheney, Margaret, 1955-; Kuchment, Peter, 1949-; American Mathematical Society.
Series: Lectures in applied mathematics,; v. 30; Lectures in applied mathematics (American Mathematical Society) ;; v. 30.
Publisher: American Mathematical Society
Published: 1994
Place of publication: Providence, R.I
Language: eng
Number of pages: 287
Subjects: Integral geometry -- Congresses.; Inverse problems (Differential equations) -- Congresses.; Tomography -- Mathematics -- Congresses.
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.
Notes: Includes bibliographical references.