Radon Transforms and Tomography

ISBN-13: 9780821821350 / Angielski / Miękka / 2001 / 261 str.

Eric Todd Quinto; Leon Ehrenpreis

Opis

One of the features of the fields of Radon transforms and tomography is the strong relationship between high-level pure mathematics and applications to areas such as medical imaging and industrial nondestructive evaluation. The proceedings featured in this volume bring together fundamental research articles in the major areas of Radon transforms and tomography. This volume includes expository papers that are of special interest to beginners as well as advanced researchers. Topics include local tomography and wavelets, Lambda tomography and related methods, tomographic methods in RADAR, ultrasound, Radon transforms and differential equations, and the Pompeiu problem. The major themes in Radon transforms and tomography are represented among the research articles. Pure mathematical themes include vector tomography, microlocal analysis, twistor theory, Lie theory, wavelets, harmonic analysis, and distribution theory. The applied articles employ pure mathematics to solve important practical problems. Effective scanning geometries are developed and tested for a NASA wind tunnel.