tomography, signal processing, numeriacal algorithms.
Main publications:
Lavrentiev M. M., Zerkal S. M., Trofimov O. E. Computer Modelling in Tomography and Ill-Posed Problems. VSP (The Netherlands), 2001, 128 pp.
Trofimov O. Computerized X-ray Tomography Algorithms on Base of Distributions with Power Singularity // Venice-2 Symposium on Applied and Industrial Mathematics, Venice, Italy, 1998.
Trofimov O. About one form of inversion formula for cone-beam tomography // Process Imaging for Automatic Control, Hugh McCan, David Scott M, Editors, Proccedings of SPIE Vol. 4188 (2001), p. 111–120.
O. E. Trofimov, A. V. Likhachev, “Сравнение некоторых алгоритмов томографической реконструкции в конусе лучей”, Sib. Zh. Ind. Mat., 11:3 (2008), 126–134
2004
2.
O. E. Trofimov, “On the Fourier transform of a class of generalized homogeneous functions”, Sib. Zh. Ind. Mat., 7:1 (2004), 130–134
1982
3.
V. T. Zhirnov, O. E. Trofimov, “Fast linear transformations of a plane”, Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982), 986–989; U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 221–225
1976
4.
M. A. Starkov, O. E. Trofimov, D. G. Frizen, “An automatic device for calculation of the number of objects”, Avtomat. i Telemekh., 1976, no. 6, 134–140; Autom. Remote Control, 37:6 (1976), 927–933
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