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ON THE APPLICATION OF GEOPHYSICAL COMPUTER TOMOGRAPHY FOR AN INCOMPLETE SET OF DATA

V. Dimova

First published: 2002DOI pendingView metrics

Abstract

The basic task of computer tomography for reconstructing the body by its projections for an incomplete set of data is solved by using Radon’s retransformation and subsequent regularisation. The method proposed can be used successfully in geophysics and geotechnology.

Publication details

Title
ON THE APPLICATION OF GEOPHYSICAL COMPUTER TOMOGRAPHY FOR AN INCOMPLETE SET OF DATA
Authors
V. Dimova
Proceedings
2nd International Scientific Conference - SGEM2002
Publisher
SGEM Scientific GeoConference
Year
2002
Pages
327-338
ISSN
Not available yet
ISBN
954-918181-2
Language
en
Publication type
Conference Paper
Proceedings contents
Open official contents
Keywords
GeoinformaticsRadon’s transformation and retransformationanalytic continuationsregularisationtomography
References10

  1. Tikhonov A.N., B.Y.Arsenin., A.A.Timonov. Mathematical Problems of Computer Tomography, Nauka, Moscow, 1987 (in Russian)

  2. Arsenin V.Y. On Mathematical Problems of Computer Tomography, In: Some Problems of Mathematical Physics (ed. A.S.Alexeev), Nauka, Novosibirsk, 1984, pp.13-18 (in Russian)

  3. Vasin V.V. & Ageev A.L. Ill-posed Problems with A Priori

  4. Information, VSP, The Netherlands, 1995

  5. Helgason S. The Radon Transform, Progress in Mathematics 5, Stuttgart, 1980

  6. Luntt R.M. Algorithms of Reconstruction Using Integral

  7. Transformations, TIIER, Vol.71, No.3, 1983, pp.125-127 (in Russian)

  8. Hadamard J. Lectures on Cauchy’s Problem in Linear Partial Differential Equations, Yale University, New Haven, 1932

  9. Tikhonov A.N. & Arsenin V.Y. Solutions of Ill-Posed Problems, Wiley, New York, 1977

  10. Matveenko A.N., T.N. Novikova Inverse Problems of Computer Tomography with an Incomplete Set of Data, IN: Numerical Methods for Solving Inverse Problems in Mathematical Physics (Ed. Tikhonov A.N. & A.A.Samarskii) (in Russian) 2th International Multidisciplinary Scientific GeoConference SGEM2002 www.sgem.org

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