Applied problems of radon transform

Bibliographic Information

Applied problems of radon transform

Simon Gindikin, editor ; [translated from an original Russian manuscripts by D. Deart ; translation edited by Simon Ivanov]

(American Mathematical Society translations, ser. 2, v. 162)

American Mathematical Society, c1994

Other Title

Приложения преобразования Радона

Prilozhenii︠a︡ preobrazobanii︠a︡ Radona

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Note

Includes bibliographical references

Description and Table of Contents

Description

This collection will acquaint readers with recent work in Radon transforms carried out in the former Soviet Union. The papers focus on mathematical problems related to applications of Radon transforms. Some of the problems arose from practical tomography, while others are theoretical problems originating in tomography. The book will be of interest to mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.

Table of Contents

Time series analysis and Grassmannians by V. M. Buchstaber Inversion of the generalized Radon transform by A. S. Denisyuk Generalized projection and section theorems in diffraction tomography by A. N. Panchenko Computation of singular convolutions by D. A. Popov and D. V. Sushko Mathematical models in two-dimensional Radon tomography by D. A. Popov, E. B. Sokolova, and D. V. Sushko Mathematical aspects of polarization tomography by V. A. Sharafutdinov Exponential Radon transform by I. Ya. Shneiberg On a new reconstruction algorithm in emission tomography by I. Ya. Shneiberg, I. V. Ponomarev, V. A. Dmitrichenko, and S. D. Kalashnikov Examples of nonuniquenss in problems related to the generalized Radon transform and emission tomography with absorption by L. Vertgeim.

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