Apodization of Black Holes in Super-Resolution Problems
Evgeni Nikolaevich Terentiev,
Irina Igorevna Farshakova,
Nikolay Evgenyevich Shilin-Terentyev
Issue:
Volume 7, Issue 3, September 2019
Pages:
39-47
Received:
29 June 2019
Accepted:
31 July 2019
Published:
20 October 2019
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].
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 w...
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