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Possibility of Using the Gershberg-Papoulis Method in the Problem of Phase Structure Reconstructing from Low-angle Hilbertograms Full article

Journal Научная визуализация (Scientific Visualization)
ISSN: 2079-3537
Output data Year: 2024, Volume: 16, Number: 1, Pages: 19-28 Pages count : 10 DOI: 10.26583/sv.16.1.02
Tags Hilbert optics, optical tomography, the Gershberg-Papoulis method.
Authors Arbuzov E.V. 1,2 , Arbuzov V.A. 1 , Dubnishchev Yu.N. 1 , Zolotukhina O.S. 1 , Lapikov M.M. 1 , Lukashov V.V. 1
Affiliations
1 Kutateladze Institute of Thermophysics of the Siberian Branch of the Russian Academy of Sciences B Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences
2 Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences

Funding (2)

1 Sobolev Institute of Mathematics FWNF-2022-0009
2 Institute of Thermophysics SB RAS, Novosibirsk, Russia 121031800217-8

Abstract: The possibility of processing small-view hilbertograms by the Gershberg-Papulis method to restore the refractive index of phase objects is discussed. The method consists in iterative transitions from estimating a function in the Fourier plane to estimating it in a coordinate space with an adjustment using a priori information. The spectrum of the function is determined on the entire frequency plane as an iterative process result Numerical simulation of the refractive index reconstruction for various test functions was performed using the GershbergPapulis method using Radon data known for four angles. Experimental studies on the Hilbert diagnostics example of reacting media (flames) in a high-speed shooting mode (up to 2000 frames per second) were performed using a four-angle tomographic complex implemented on the basis of an upgraded IAB-463M shadow device.
Cite: Arbuzov E.V. , Arbuzov V.A. , Dubnishchev Y.N. , Zolotukhina O.S. , Lapikov M.M. , Lukashov V.V.
Possibility of Using the Gershberg-Papoulis Method in the Problem of Phase Structure Reconstructing from Low-angle Hilbertograms
Научная визуализация (Scientific Visualization). 2024. V.16. N1. P.19-28. DOI: 10.26583/sv.16.1.02 Scopus РИНЦ OpenAlex
Dates:
Published print: Apr 15, 2024
Published online: Apr 15, 2024
Identifiers:
Scopus: 2-s2.0-85191146613
Elibrary: 69157604
OpenAlex: W4393978134
Citing: Пока нет цитирований
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