Identification analysis of digital images of black holes of Centaurus A galaxy

Abstract

This article analyses digital images from the black hole map of Centaurus A galaxy using autovariance and covariance functions. This map was created based on data collected with APEX and Max-Planck/ESO radiotelescopes in Chile (Nemiroff and Bonnell in Astronomy picture of the day, 2011. https://apod.nasa.gov/apod/ap110531.html ). Crosscovariance function estimates for two digital images or autocovariance function for individual images are calculated with random functions based on digital images’ pixels in vector form. Pixel vectors are estimated by emitting arrays of digital images’ pixels along according vectors. When the scale of the digital image shifts, the frequency of individual pixels’ colors remains constant, therefore shifting scales do not affect calculations for const and covariance functions. An RGB color spectrum was used for identification of images. The effect of composites of the RGB spectrum, and of color tensors, on estimates of covariance functions in digital images was assessed as well. The identity of digital images is evaluated by the change of correlation coefficients in the diapason of according values as determined using Matlab software.