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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1995 Volume 230, Pages 264–277 (Mi znsl3778)

An application of Radon inversion to diffraction tomography

V. N. Troyan, G. A. Ryzhikov

Saint-Petersburg State University

Abstract: Basic equations of linear computer tomography are considered; a connection of the mathermatical formulation of problems of computer tomography with problems of integral geometry is indicated; the properties of the Radon transform for even- and odd-dimensional spaces are analyzed, and applications of Radon inversion to problems of diffraction tomography are presented. Bibl. 5 titles.

UDC: 550.834

Received: 10.09.1994


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:2, 2873–2882

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