Publication: On Phase Correction in Tomographic Research
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2020
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© 2020, Pleiades Publishing, Ltd.Abstract: Under consideration is the problem of improving the contrast of the image obtained byprocessing tomographic projections with phase distortion. The study is based on the well-knownintensity transfer equation. Unlike other works, this equation is solved in a bounded region ofvariation of the tomographic parameters. In a domain, a boundary value problem is posed for theintensity transfer equation which is then specialized for a three-dimensional parallel tomographicscheme. The case of two-dimensional tomography is also considered, together with thecorresponding boundary value problem for the intensity transfer equation. We propose numericalmethods for solving the boundary value problems of phase correction. The results are given of thenumerical experiments on correction of tomographic projections and reconstruction of thestructure of the objects under study (in particular, a slice of a geological sample) by usingpiecewise uniform regularization.
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On Phase Correction in Tomographic Research / Wang, Y. [et al.] // Journal of Applied and Industrial Mathematics. - 2020. - 14. - № 4. - P. 802-810. - 10.1134/S1990478920040171