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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Object detection method based on aerial image instance segmentation received by unmanned aerial vehicles in the conditions rough for visualization</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Serhiy V. Kovbasiuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonid B. Kanevskyy</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mykola P. Romanchuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhiy V. Chernyshuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonid M. Naumchak</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Korolyov Zhytomyr Military Institute</institution>
          ,
          <addr-line>22 Myru Ave., Zhytomyr, 10004</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>41</fpage>
      <lpage>55</lpage>
      <abstract>
        <p>The article analyses the possibilities to use the unmanned aerial complexes in the system of decision making process for the crisis situations that require the object detection at aerial images received by the unmanned aerial vehicle under the conditions of atmospheric fog and smoke over the territories. For image sharpening we used Pansharpening method for injecting the dimensional details from panchromatic image to multispectral image. In order to increase the operational eficiency and accuracy of automotive vehicles detection at aerial images received by the unmanned aerial vehicles for more eficient use of received information in the system of decision making support it was selected Hybrid Task Cascade for Instance Segmentation model. This model is more appropriate for solving the tasks of small-sized object multiclass classification and detection at aerial image using the indirect signs.</p>
      </abstract>
      <kwd-group>
        <kwd>recognition</kwd>
        <kwd>object detection</kwd>
        <kwd>aerial photo-images</kwd>
        <kwd>Pansharpening</kwd>
        <kwd>instance segmentation</kwd>
        <kwd>focal loss</kwd>
        <kwd>unmanned aerial vehicles</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Some ten even five years ago the unmanned aerial vehicles (UAVs) were regarded skeptically
as the ex-pensive toys for entertainment – to film the landscapes, animals, make photos from
a bird’s perspective over the reserved areas and so on. It was interesting only for quite few
devoted people.</p>
      <p>
        The contemporary situation all over the world concerning COVID-19 (SARS-CoV-2) epidemics
placed new demands on mankind for communication, behavior and living [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. In general,
we are talking about noncontact communications and various service rendering. First of all it
touches upon assistance and danger identification in the cities and hard-to-access areas. The first
steps in this direction were made in November 2019 when COVID-19 (SARS-CoV-2) pandemia
was in the initial stage but China already used UAVs to detect the isolation trespassers, potential
sick people and even to monitor the body temperature by thermal imaging scanning.
      </p>
      <p>
        Another important UAV task was the drugs and other important items delivery to the people
on self-isolation (food, hygienic stuf, essential goods). There was also carried out the monitoring
and control over the fires and other hazardous objects in hard-to-access areas [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ].
      </p>
      <p>One of the most important elements afecting such tasks is the visualization system
(information display) and information processing technologies. Often, one of the reasons making
impossible using the visual control principles of UAV landing or information gathering
concerning the objects at the Earth and the very Earth as bottoming surface is the atmospheric
fog, smoke over the ground and imperfect (not adapted for such conditions) methods of object
detection at the aerial photo-images received by the UAVs.</p>
      <p>In the conditions of low possibility to take into account all factors concerning the UAV
(visual confirmation) it may cause the task failure or flight safety violation. Accordingly, the
key markers for delivery or situation monitoring using the UAVs in the conditions rough for
visualization are the abilities to assess fast and reliably the area where the automatic object
detection, recognition and classification means above the Earth ground may prove justifiable.</p>
      <p>The contemporary visualization systems enable to represent huge information volumes from
various sources of spatial basing: spaceships as the Earth surface optical-electronic monitoring
and remote sensing, and UAVs. Usually, information from such sources does not contain
the intermediate conclusions concerning monitoring that complicates the sequence of events
forecast and executive decision making. To solve such problem in the automatic mode the
gathered information processing is carried out – thematic aerial image processing. The thematic
processing and data complexation from all aforementioned means enables the overall situation
assessment in the given Earth area.</p>
      <p>Such method of information gathering requires using system analysis and synthesis method
of diferent time and parameter data from physically diferent means of information gathering.
For qualitative incoming trafic transformation process of separated data from all the sources of
spatial basing into a single final result fit for using under the complicated visual conditions it is
necessary to determine the main components (phases) of thematic processing, logical links of
various structural data complexation study along with determination of evolving problems and
possible means of their solution.</p>
      <p>In the framework of solution of the new tasks for noncontact communications using the UAVs
it is necessary to search and develop an eficient (operative and suficiently reliable) detection
method of fine-grained objects at aerial images received by the UAVs both in simple conditions
and in the conditions rough for visualization.</p>
      <p>The purpose of the article is to analyze the application of object detection neural network
models for UAV image processing in conditions of atmospheric haze and smog, with their
further improvement to increase the accuracy of localization and recognition of objects on the
ground surface.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>Based on the analysis of atmosphere transmission over Ukraine in 2019 given in table 1 as for
classical visualization of image results at aerial photo-images from various sources it is possible
to conclude that depending on the season 35 percent of daytime per year is clouded and require
special methods of object detection at the aerial images received under such conditions.
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AR Crimea
Vinnytsia</p>
      <p>Volyn
Dnipropetrovsk</p>
      <p>Donetsk
Zhytomyr
Zakarpattia
Zaporizhzhya
Ivano-Frankivsk</p>
      <p>Kyiv
Kirovohrad</p>
      <p>Lugansk</p>
      <p>Lviv
Mykolayiv</p>
      <p>Odesa
Poltava
Rivne
Sumy
Ternopil
Kharkiv</p>
      <p>Kherson
Khmelnytskyi</p>
      <p>Cherkasy
Chernivtsi
Chernihiv</p>
      <p>UKRAINE
Over 70% of time the sky was cloudy during that month
From 25% to 70% of time the sky was cloudy during that month</p>
      <p>Up to 25% of time the sky was clouded, and 75% it was clear during that month</p>
      <p>
        Smoke is one of the emergency situations factors, which excludes the possibility of using
detectors for processing aerial photographs from UAVs. The Pansharpening method, which is
based on the use of spatial details injections from panchromatic image to a multispectral image,
showed better results for improving the original image in the presence of atmospheric haze or
smoke during fires. Currently, the following injection models can be distinguished: the
GramSchmidt projection model of orthogonalization, which was underlined the spectral sharpening
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and context-oriented solution [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] methods; a model based on modulation, underlined the
developing of high-frequency modulation [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], synthetic variable coeficients [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], and models
of spectral distortions minimizing [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ]. The contrast-based model is inherently local, or
context-adaptive [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], unlike the projection model, as the injection gain varies at each pixel
[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>For the task solution of eficient object detection and recognition at images there have been
used the methods of image semantic and instance segmentation which are developing in parallel
and which have their peculiarities, ad-vantages and disadvantages.</p>
      <p>
        The methods of semantic segmentation that use convolution neural networks (CNN) solve the
task of detection and recognition from their multilevel aggregation or from through structural
prediction [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Using the augmented CNN [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], as networks of pyramidal scenes analysis [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]
that uses the phalanx pyramid module (PPM) and feature pyramid (FPN) [
        <xref ref-type="bibr" rid="ref15 ref16">15, 16</xref>
        ] that enable to
keep high resolution till the last layer, has increased the eficiency of context receiving.
      </p>
      <p>
        Instance segmentation allows solving the tasks of actual semantic class object identification
related to an aerial image pixel. Starting from the regional CNN (R-CNN) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] the instance
segmentation is performed by two-stage principle: from the generated sequence of segmented
proposals the comparison of the best one is carried out [
        <xref ref-type="bibr" rid="ref18 ref19">18, 19</xref>
        ]. The common for those methods
of instance segmentation is segmentation by the regional proposal network (RPN) before the
object classification. In InstanceFCN [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] mask proposals are received from full convolution
network (FCN) [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. MNC [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] uses sample segmentation as conveyor which work is composed
of three subtasks: object mask localization, forecasting and categorization, and through cascade
method it trains the neural network. InstanceFCN implementation is usage of full convolution
approach for instance segmentation. Model Mask R-CNN adds additional branch based on
Faster R-CNN [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] and uses common approach to forming the limits and masks when two target
functions in parallel solve separate tasks that increases the accuracy of object localization and
its recognition on the aerial image. PANet [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] uses bilateral information flow in FPN [24].
      </p>
      <p>
        Background object classifiers that use semantic segmentation methods usually built on FCN
with extensions [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] do not stipulate the sample limits for classes. The methods of instance
segmentation based on detectors that usually use the object proposals based on ofered areas
[
        <xref ref-type="bibr" rid="ref19">25, 19</xref>
        ] ignore the background objects making impossible to use non-directs features. Their
combination enables to solve the task of scene analysis [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], image review [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] or scene integral
understanding [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ].
      </p>
      <p>
        To increase reliability of fine-grained objects detection two-stage detectors have been
developed [
        <xref ref-type="bibr" rid="ref14 ref22">14, 22, 26</xref>
        ], which compared with the one-stage ones [27, 28] are characterized by
optimization and possibility to generate suficient number of high level features. In particular,
in multi-regional CNN [29] the iterative mechanism of detection for specification of limits is
used. Detector AttractioNet [30] uses module Attend&amp;Refine for renewal of limiting places
iteratively. Models CRAFT [31] and Fast R-CNN [27] for detection credibility growth include
the cascade structure in RPN [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ].
      </p>
      <p>One of the ways to increase the detection credibility and object recognition is usage of cascade
structure of neural network structure. In particular, Cascade R-CNN [32] is composed of several
stages where the previous stage sends the data to the next one with metrics IoU threshold values
increase to increase the quality of data processing trainings. Direct combination of Cascade
R-CNN and Mask R-CNN provides an insignificant improvement due to mask foresight at further
stages that receive higher accuracy of detection and recognition only from more qualitatively
localized bounding boxes without direct combination. So, the creation of multi-stage conveyer
of aerial image pro-cession that uses the combination of detection, instance segmentation and
semantic segmentation for receiving the context, will enable to increase the accuracy of object
detection and recognition.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Method</title>
      <p>Information from various sources of spatial basing will stipulate complexation of various
structural data within onetime interval (during the first day half). So, the data about the same
object are received by UAV – aerial image in visible range, and from spaceship – multispectral
image. Such approach will enable the connection with spatial and spectral analytical models
and in case of the library of spectral etalons availability it may enable to use spectral-spatial
(sub-pixel) analysis which should result in automatic ground object identification at the Earth
surface (table 1).</p>
      <p>It is also important to harmonize the images in one format, so that they had the same resolution.
Then, the main principle of data acquisition construction about the object of monitoring may
become the optimal efort resolution among the means of various spatial basing sources. In
this case it is necessary and suficient is the task of multi-criteria task solution for choosing
suficient means of intelligence data gathering and sequence of their use determination. The
optimization approach stipulates mathematical models use and optimization criterion explicitly.
The basis for such task solution is the best alternative search by some criterion. Such approach
enables to increase the solution quality through such factors:
• enables to find the variants of task solution at various values of real limits to variables
and various initial conditions;
• enables to simplify the best solution selection procedure thanks to using the analytical
criteria; several criteria may be used simultaneously;
• presence of multitude of methods of dynamic optimization task solution enables to select
the best alternative.</p>
      <p>Pansharpening methods synthesize images with the same number of spectral channels as the
input multispectral image and resolution as in the input panchromatic image. After interpolation
from the multispectral image into the panchromatic space, elements are extracted from it and
added to the corresponding bands of the multispectral image using the injection model. Panning
is pre-selected with a histogram, that is, radiometrically transformed by constant gain and ofset.
The injection model defines the combination of the multispectral image low frequency image
with the spatial details of the panchromatic image. This approach is applied to each resampled
band of the multi-spectral image and the low-frequency version of the panchromatic image. In
this approach, the bandwidth of the panchromatic image covers four spectral bands (figure 1).
This provides the advantage that the removal of the estimated path radii for the calculation of
the injection model is more consistent in terms of spectral quality (color hues) in relation to
spatial characteristics [33]. This approach is the basis for the decision regarding the survey of
infrastructure objects in the epicenter of the fire to improve image quality [34].</p>
      <p>
        Based on the results of the detectors application [
        <xref ref-type="bibr" rid="ref24 ref25 ref26 ref27 ref28">35, 36, 37, 38, 39, 40</xref>
        ], the problems of the
impact of deformation, occlusion, changing image size in the picture and frequent background
changes are determined. A promising approach to their solution is the application of a cascade
of elemental and semantic segmentation models that use a deep trunk net-work generating
suficient representations of features.
      </p>
      <p>
        As the model basis CNN ResNeXt [29] in BiFPN [
        <xref ref-type="bibr" rid="ref29">41</xref>
        ] is used. ResNeXt is high-module network
architecture with great receptive field due to aggressive convolution. BiFPN usage enables
to carry out the contribution research of various original feature cards with simultaneous
repeated usage of multi-scale synthesis of features “from top downward” and “bottom upwards”.
It enables to capture the features from the lower level of highway neural network and as a
result it enables to recognize the objects in broader scale range using fewer parameters than
augmented CNN. It solves the problem of hardware restrictions that usually exists both for
semantic or for instance segmentation and their combined education. At BiFPN pyramid top
deforming CNN (DCN) [
        <xref ref-type="bibr" rid="ref30">42</xref>
        ] is used that adapts the target function to the object geometric
variations at aerial image using dependence that not all pixels inside the receptive layer filed of
neural network make contribution into the neural network work result. The diferences in those
contributions are presented by eficient receptive field, which values are calculated as gradient
of layer node response to in-tensity of each image pixel disturbance. DCN implementation
that broadens the selection spatial placement in CNN additional layers by shifting and shift
education, enables to adapt the target function reflection to object configuration as afected by
possible transformations, deforming its selection structure and combination that fit the object
structure. The suggested approach increases the detection credibility and object recognition at
the aerial image.
      </p>
      <p>
        To increase the credibility of object detection and recognition through object image
localization increase at the aerial image and bounding boxes adaptation to the object forms the guided
anchorage regional proposal network is used (GA-RPN) [
        <xref ref-type="bibr" rid="ref31">43</xref>
        ] used after BiFPN. GA-RPN usage is
determined by two factors: the objects at the image are located unevenly, form (object scale and
aspect ratio) are close related with its content and location as to the back-ground elements. The
neural network placed in the guided anchorage module basis is composed of two branches for
prediction of possible location regions and object form and feature adaptation component. The
predictive branch determines the probability card that directs at possible objects locations, but
the form predictive branch stipulates depending on the object location – aspect ratio. According
to the results of both branches the anchor set is generated which predicted location possibilities
surpass the given threshold and the most possible forms of each of selected places. As far as the
anchor form may change the features in various places have to be captured in various scales. For
that feature adaptation module is used additionally that selects the anchor forms according to
the feature presentation. Thus, the multilevel anchor generation scheme is applied that enables
to form the anchor set of several feature cards taking into account BiFPN architecture. As a
result, each object location is related to only one anchor of dynamically predicted form instead
of a set of predetermined anchors. The features for the anchor forming are received from the
original feature card of BiFPN corresponding level.
      </p>
      <p>Common communication use between the bounding box detection and masks gives limited
prize, so their cascade application for improvement of detected object localization and their
recognition is more eficient solution. The cascade procedure is applied during the conclusions
of each stage that enables to coordinate the hypotheses more accurately. The cascade use enables
to decrease the network retraining as a result of exponentially vanishing positive samples and
stage conclusion non-conformity for IoU value, for which the detector is optimal, to incoming
hypotheses. But there is a rupture in information flow between the branches of cascade various
stages that results in mask separation at later stages and gives prize only in better localized
bounding boxes [32].</p>
      <p>
        To overcome the rupture between the stages the hybrid task cascade is used for instance
segmentation [
        <xref ref-type="bibr" rid="ref32">44</xref>
        ]. The key idea is information flow improvement by cascade inclusion and
multi-task feature at each stage and usage of spatial context for further object detection and
recognition credibility increase. As a result of research the hybrid segmentation cascade model
was improved that enables to increase the productivity of the aerial image multi-stage processing,
recognize the various plan foreground from overwhelmed background due to spatial context
using the semantic segmentation. The model structural scheme is given at fig. 2, where:  –
incoming image,   – feature regional deletion, ,  – detection of bounding box and
mask at stage .
      </p>
      <p>
        To detect the objects, the scene context provides useful recommendations for semantic
branches combination for receiving the categories and scales. Received from each BiFPN layer
feature cards of various levels transform into pyramidal phalanx module PPM [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ], that execute
the background object semantic segmentation at pixel level that prevents information loss in
the context among various scene sub-regions. PPM is used for feature card combination to
form their final representation with both local and global information about the context. PPM
combines the features from five BiFPN original layers. The highest (semantically strong) level
is global combination for receiving a single output vector. Next pyramid level separates the
feature card into various sub-regions and forms combined presentation for various locations. To
preserve the weights of global features the convolution layer 1x1 is used after each BiFPN level.
For representing the features of such fragmentation as in the final global pyramid the feature
combination from the lower level outputs of BiFPN feature cards the bilinear interpolation is used.
The cascade semantic branch encodes the context information from the background regions
as a result of foreground object distinction from the flooded background that supplements the
bounding box and sample masks. This branch is designated for semantic segmentation of the
whole image each pixel forecasting that has completely convolution architecture and trains
together with other cascade branches. The semantic segmentation features are addition to
the existing features of bounding box and masks at their combination to increase the object
detection and recognition credibility.
      </p>
      <p>This approach difers from the existing cascade solutions by regression of bounding box
sequence and mask prediction instead of their processing in parallel, inclusion of direct way
to augment the information flow between the mask branches, delivery of previous stage
peculiarities to the mask, direction for study of more contextual information of additional semantic
segmentation branch and its alignment with bounding box and masks branches (figure 2).
Using the detector sequence that passed the training with the threshold values increase of IoU
metrics to be consistently more selective against the close faulty actuations. The sequence of
information passing among the cascade stages is displayed by the formulae:
 =  (, − 1) +  ((), − 1),
 =  (, ) +  ((), ),
 = (),</p>
      <p>
        , −− 1)),
 = ( (
(1)
(2)
(3)
(4)
(5)
(8)
(9)
(10)
where ,  – detected by bounding box and feature masks;  (, − 1) – align operation
RoI Align [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]; (), = () – definition of bounding box and mask at stage ;
;  – prediction of bounding boxes and sample masks;  – head of semantic segmentation.
      </p>
      <p>Training of suggested cascade includes the class predictions, bounding box and mask
regression and it is per-formed in the mode from beginning till the end. The general loss function
takes the form of multi-task training at each iteration and looks like this:</p>
      <p>= ∑︁  ( + ) + ,</p>
      <p>=1
(, , , , ˆ, ˆ, , ˆ) = (, ˆ) + (, ˆ) +  1(, ˆ) +  ℎ(, ˆ),
ˆ
(6)
(7)
(, ˆ) = (, ˆ),</p>
      <p>= (, ˆ),
where  – general loss function;</p>
      <p>,  – loss of bounding box prediction and mask
at stage ; ,  – loss of classification prediction and object image regularization;
, ℎ – losses of anchor localization and anchor form prediction;  – loss of semantic
segmentation prediction;  – loss function of cross entropy;  – loss function of binary
cross entropy.</p>
      <p>While creating the training selections for each class of objects by their images for the new
dataset from the aerial images a misbalance of classes arises because of lack of suficient number
of object images. When using the loss function of cross entropy during model training at such
datasets the scale ratio goes to zero because confidence in correct class grows. To solve this
problem various methods are used as resampling. According to the results of re-searches held
this solution ofers to modify the focal loss method designated to improve the model training at
the original non-balanced data. So, instead of cross entropy loss function:</p>
      <p>
        () = − (),
very often the function of focal loss [
        <xref ref-type="bibr" rid="ref33">45</xref>
        ] is used
      </p>
      <p>() = − (1 − )(),
where   – focal loss;  – loss function of cross entropy;  – probability of credible class;
 – focusing value.</p>
      <p>The focal loss minimizes the input of well classified samples and directs the focus at
complicated samples. The function of focal loss is elaborated to solve the object determined detection
scenario where an extraordinary balance exists between the full and sparse classes. But it
does not show better results for two-passage detectors which separate the background at the
ifrst stage. It is ofered to modify the focal loss function to soften the reaction for the loss
functions to complicated samples. Accordingly, the same weights are used for positive samples
with probabilities less than certain threshold as well as for minimization of well classified
samples influence the focal loss approach is pre-served which scale reflects the threshold. The
aforementioned may be described next way:
where  (, ℎ) – rejection ratio that scales the loss function by next formula:
  () = −  (, ℎ)(),
{︃
(1− )
1
ℎ


:  &lt; ℎ
:  ⩾ ℎ
(11)
(12)
where ℎ – probability of fundamental truth class.</p>
      <p>The focal loss modification function helps to improve the average accuracy of object detection
mAP for sparse classes, however, mAP is decreased a little for well flooded classes. Function of
modified focal loss application decreases the action of class misbalance factor in the process of
model training.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>For approbation of improved model of hybrid segmentation cascade and in order to study the
process according to the task DataSet with Vehicle Detection in Aerial Images was used. It
contained 10 photos at height 1595-1600 m with resolution 5616x3744 pixels. As a result of
object distribution 10 classes of transport vehicles were formed. The object class set is not
balances (number of object images in the classes varies from 7 to 2454), transport vehicle images
difer much by dimensions, aspect ratio, distribution by brightness and color density.</p>
      <p>Online augmentation was used for enlargement of object images taking into account the
executing condition of photographing from UAVs (turns to 0∘ , 90∘ , 180∘ , 270∘ , adding Gaussian
noise, contrast, sharpness, color density change). Transfer Learning approach was used through
the trained models at COCO Detection dataset.</p>
      <p>For the model work assessment metrics mAP was used that calculates mAP average score
value for variables IoU to fine a great number of bounding boxes with incorrect classifications
and it enables to avoid the maximum specialization in several classes at the account of weak
projections in others.</p>
      <p>To adapt the target function presentation for the object congfiuration the deforming
convolution at BiFPN top was used that applies high level of feature synthesis; for fewer anchors
use and taking into account of their possible form and size the guided anchorage method is
applied; for further information loss reduction in the context among various sub-regions the
hierarchical global previous content is applied – PPM module enables to combine the features
from five various FPN scales.</p>
      <p>To improve the model operation quality the approach of triple increase of testing time for
aerial image pre- and post-processing (image compilation with resolution 600x600, 700x700 and
turn (0∘ , 90∘ , 180∘ , 270∘ ), with augmentation to 800x800, 900x900, 1000x1000).</p>
      <p>Model training was conducted from the end to the end of 18 epochs. The results obtained are
shown in table 2.</p>
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