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volume-3-issue-2

ǀ
ISSUE 2 
ǀ
2022 
ISSN: 2181-1601
Uzbekistan
 
www.scientificprogress.uz
 
Page 228
Fig. 1. Image Processing Steps 
When observing an object against a relatively uniform background, the problem 
arises of estimating the parameters of geometric transformations with the required 
accuracy. Thus, the development of effective algorithms for the isolation, detection, and 
estimation of parameters of airborne objects remains a very urgent task to date [8]. 
IV. HAZARDS IDENTIFICATION AND DETECTION ALGORITHM 
As a model of image formation obtained using a video sensor, we consider the 
space-time model [8], where we consider. only spatial information, then, omitting the 
frame number, this model can be written in the following form: 
(𝑖 ) (𝑖 ) (𝑖 ) ((𝑖 )( (𝑖 )) (𝑖 ) 𝑖
̅̅̅̅̅̅̅̅̅̅̅̅
̅̅̅̅̅̅
(10) 
where - 
N
x
, N
y
height and width of the frame; 
l (i, j)
is the observed image; 
g (i, j)
and 
h (i,
j)
are unknown functions whose values are the brightnesses of the background 
and object points, respectively; 
(𝑖 ) (
)
is the noise of the video sensor. The 
function 
r(i, j),
which determines the location of an object in the image, is defined by 
the rule: 
(𝑖 ) {
𝑖𝑓 𝑎 𝑖 (𝑖 ) 𝑓 𝑓 𝑎 𝑖 𝑎
𝑖
(11) 
The task of distinguishing objects is to estimate 
rˆ (i, j)
from the observed image 

(i, j
). The stage of object isolation, as a rule, precedes the stage of object detection - the 
decision on the presence or absence of an object in the image 
l (i, j).
In this case, the 
appearance of smoke. In [9], when observing air objects, a cloudy sky with smooth 
transitions of brightness is considered as a background component. In this case, it is 
proposed to use an autoregressive model of the form to describe such a background: 


SCIENTIFIC PROGRESS
VOLUME 3 

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