Reconstruction of distributions of random functions in problems of stochastic diffraction tomography

DOI10.3103/S0278641909030054zbMath1175.65010MaRDI QIDQ735554

O. V. Shestakov

Publication date: 23 October 2009

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

projectionsRadon transformHelmholtz equationreconstructionrandom functionsstochastic tomographydiffraction theorem

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Cites Work

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• Stochastic tomography
• An algorithm to reconstruct probabilistic distributions of multivariate random functions from the distributions of their projections
• Reconstructing probability characteristics of multidimensional random functions from the projections
• On a special case of the basic problem in diffraction tomography^∗

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