CONTROL MATRIX OF THE SINGULAR VALUE DECOMPOSITION OF THE RADON TRANSFORM
Kazantsev I.G. Orazova A.Z. Alontseva D.L. Dyomina I.A.
2025Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2025#22Issue 1244 - 251 pp.
A formula for inverting the control submatrix of the singular value decomposition of the Radon transform is obtained. We prove that the pseudoinverse matrix is expressed in terms of the submatrix itself and its calculation does not require the use of linear algebra packages. The formula and proof are given. The practical value lies in the ability to control the components of the singular value decomposition of the Radon transform and to filter and analyze images. The numerical experiments on real-world images demonstrate the efficiency of the techniques proposed.
control matrix , destriping , Radon transform , SVD
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Institute of Computational Mathematics and Mathematical Geophysics, pr. Lavrentyeva, 6, Novosibirsk, 630090, Russian Federation
D. Serikbayev East Kazakhstan Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk, 070004, Kazakhstan
Institute of Computational Mathematics and Mathematical Geophysics
D. Serikbayev East Kazakhstan Technical University
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