Localization of the Vortices and Road Sings in Images

Terentiev, Evgeni N.; Prikhodko, I. N.; Farshakova, I. I.; Kuznetsov, I. D.; Shilin-Terentiev, N. E.

doi:10.1007/978-3-030-11533-3_30

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…MM with PFP allowed us to correctly solve the inverse problem by the usual inversion, see the graphs of the sections of the AF O, inverse R and resolved -RO=DK in Figs. 5-10 and with a slight adjustment in DI conditioning [3][4][5][6][7][8][9][10].…”

Section: Discussionmentioning

confidence: 99%

The Analysis of Action Mechanisms of Black Holes

Terentiev¹,

Shugaev²,

Shi-lin-Terentyev³

2023

JAMC

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Modern methods for solving inverse problems (such as a system of linear equations Y =AX or Fredholm integral equation of the 1st kind) proceed from the fact that Apparatus Function (AF) A is known. For example, statements about the applicability of the regularization method in astronomy look quite strange, when arguments are made about the smoothness of solutions X associated with regions of the starry sky. In this paper, we present the results of a new mathematical method, which we have called the Mathematical Microscope (ММ). For the Event Horizon Telescope (EHT), the Antenna Pattern (AP) can only be said to correspond to a large telescope with an approximate aperture size. The paper presents the results of Super-Resolution from two EHT with accurate estimates of their AP or AF. MM has one drawback; it is very difficult to implement. In order for MM to be widely used, it is necessary to develop Artificial Intelligence for automatic accurate selection of AF with an analysis of the neighborhoods of individual (pixel) points in Super-Resolved X images.

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Section: Discussionmentioning

confidence: 99%

The Analysis of Action Mechanisms of Black Holes

Terentiev¹,

Shugaev²,

Shi-lin-Terentyev³

2023

JAMC

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“…1. 1D КМТО [3][4][5][6] -Дано: строка отсчетов D = f (x0) и две матрицы (Базис Фурье) H = H (0) (x0) и (Фурье гармоники)…”

Section: базис фурье кмтоunclassified

Применения Методов Градиентной Морфологии

Терентьев,

Алешин,

Балабан

et al. 2023

MFS

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Методы Градиентной Морфологии (ГМ) основываются на Конечно-Мерной Теореме Отсчетов (КМТО). В работе приводятся реализации методов ГМ, кратко рассматриваются модели векторных шаблонов искомых объектов и необходимость отфильтровывания одиночных точек в изображении. Общая схема методаРис. 2. КМТО позволяет вычислять частные производные от массивов чисел, в частности вычислять гра-

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Localization of the Vortices and Road Sings in Images

Cited by 2 publications

References 2 publications

The Analysis of Action Mechanisms of Black Holes

The Analysis of Action Mechanisms of Black Holes

Применения Методов Градиентной Морфологии

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