The radon transform, inverse problems, and tomography : American Mathematical Society short course, January 3-4, 2005, Atlanta, Georgia
著者
書誌事項
The radon transform, inverse problems, and tomography : American Mathematical Society short course, January 3-4, 2005, Atlanta, Georgia
（Proceedings of symposia in applied mathematics, v. 63 . AMS short course lecture notes）
American Mathematical Society, c2006
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Since their emergence in 1917, tomography and inverse problems remain active and important fields that combine pure and applied mathematics and provide strong interplay between diverse mathematical problems and applications. The applied side is best known for medical and scientific use, in particular, medical imaging, radiotherapy, and industrial non-destructive testing. Doctors use tomography to see the internal structure of the body or to find functional information, such as metabolic processes, noninvasively. Scientists discover defects in objects, the topography of the ocean floor, and geological information using X-rays, geophysical measurements, sonar, or other data.This volume, based on the lectures in the Short Course The Radon Transform and Applications to Inverse Problems at the American Mathematical Society meeting in Atlanta, GA, January 3-4, 2005, brings together articles on mathematical aspects of tomography and related inverse problems. The articles cover introductory material, theoretical problems, and practical issues in 3-D tomography, impedance imaging, local tomography, wavelet methods, regularization and approximate inverse, sampling, and emission tomography. All contributions are written for a general audience, and the authors have included references for further reading.
目次
An introduction to X-ray tomography and radon transforms by E. T. Quinto Development of algorithms in computerized tomography by A. K. Louis Fan-beam tomography and sampling theory by A. Faridani Generalized transforms of radon type and their applications by P. Kuchment Inverse problems in pipeline inspection by P. Massopust Robust interferometric imaging in random media by L. Borcea.
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