Volume 7, Issue 3, September 2019, Page: 39-47
Apodization of Black Holes in Super-Resolution Problems
Evgeni Nikolaevich Terentiev, M. V. Lomonosov Moscow State University, Faculty of Physics, Department Mathematical Modelling and Informatics, Moscow, Russia
Irina Igorevna Farshakova, M. V. Lomonosov Moscow State University, Faculty of Physics, Department Mathematical Modelling and Informatics, Moscow, Russia; EPAM Systems, Moscow, Russia
Nikolay Evgenyevich Shilin-Terentyev, EPAM Systems, Moscow, Russia
Received: Jun. 29, 2019;       Accepted: Jul. 31, 2019;       Published: Oct. 20, 2019
DOI: 10.11648/j.ajaa.20190703.11      View  33      Downloads  17
Abstract
Methods for identifying hidden objects are usually associated with the term apodization. The problem definitions of super-resolution must begin with the choice of the corresponding hidden object — the working discrete model of Apparatus Function (AF). With apodization such Black Holes, we will associate the mathematical invers problem of choosing working AFs with reversible R=O-1 and a small inverse norm Nor (R)=||R||. The apodization setting of super-resolution tasks, the indication of objects arise in the analysis of the Characteristics of Circumstances (CC) of the O AF models. The article provides examples of demonstration of CС with the choice of a discrete model of AF O with the usual inversions R=O-1 and without using a priori information about the type of solutions, as is customary in the regularization method [1]. The latter circumstance allowed us to solve the actual problem of the Super-Resolution of the image of the Black Hole Powehi shadow on low-accuracy data [16].
Keywords
Mathematical Apodization, Apparatus Function, Invers Problems, Modulation Transfer Function, Conditionality, Invertibility Indicator
To cite this article
Evgeni Nikolaevich Terentiev, Irina Igorevna Farshakova, Nikolay Evgenyevich Shilin-Terentyev, Apodization of Black Holes in Super-Resolution Problems, American Journal of Astronomy and Astrophysics. Vol. 7, No. 3, 2019, pp. 39-47. doi: 10.11648/j.ajaa.20190703.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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