Integral Geometry and Tomography: AMS Special Session on Tomography and Integral Geometry, Rider University, Lawrenceville, New Jersey, April 17-18, 2004

Integral Geometry and Tomography: AMS Special Session on Tomography and Integral Geometry, Rider University, Lawrenceville, New Jersey, April 17-18, 2004
ISBN-10
0821837559
ISBN-13
9780821837559
Category
Mathematics
Pages
155
Language
English
Published
2006
Publisher
American Mathematical Soc.
Authors
Eric Todd Quinto, Andrew Markoe

Description

This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in 2004. The book contains very recent work of some of the top researchers in the field. The articles in the book deal with the determination of properties of functions on a manifold by integral theoretic methods, or by determining the geometric structure of subsets of a manifold by analytic methods. Of particular concern are ways of reconstructing an unknown function from some of its projections. Radon transforms were developed at the beginning of the twentieth century by researchers who were motivated by problems in differential geometry, mathematical physics, and partial differential equations. Later, medical applications of these transforms produced breakthroughs in imaging technology that resulted in the 1979 Nobel Prize in Physiology and Medicine for the development of computerized tomography. Today the subject boasts substantial cross-disciplinary interactions, both in pure and applied mathematics as well as medicine, engineering, biology, physics, geosciences, and industrial testing. Therefore, this volume should be of interest to a wide spectrum of researchers both in mathematics and in other fields.

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