Estimating the Parameters of Vortex and Ship Wakes in Images

Terentiev, E.N.; Prikhodko, I.N.; Aleshin, P.E.

Авторы: Terentiev Evgeni Nikolaevich, Prikhodko Irina Nikolaevna, Aleshin Pavel Evgenievich
Журнал: Journal of Applied Mathematics and Computation
Номер: 7(2)
Год издания: 2023
Первая страница: 234
Последняя страница: 242
DOI: 10.26855/jamc.2023.06.004
Аннотация: International schools-conferences of young scientists on problems of geophysics in Russia attract the attention of mature mathematicians and editors of major scientific journals. The problems of the analysis of vortex formations in remote sensing was posed by K.V. Pokazeev and S.P. Perov. Another impetus to the creation of methods of Gradient Morphology was the rethinking of the usual Image Morphology by Pytiev Yu.P., Chulichkov A. I. and the well-known Wiener-Kotelnikov sampling theorem. In our Finite-Dimensional Sampling Theorem (FDST) operations of mathematical analysis (differentiation and integration of non-integer order with interpolation without the use of finite-difference schemes and integral sums) and field theory are implemented with the accuracy of the mantissa. The image is associated with its vector gradient field. The analysis of vector fields with the help of single-length vector templates made it possible to localize (indicate) object in the image by calculating the main parameters of the object: position and size. The proposed method of indicating local objects using gradient fields turned out to be highly precision and noise-immunity.
Добавил в систему: Терентьев Евгений Николаевич

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