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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Recognition and Classification Apple Fruits Based on a Convolutional Neural Network Model</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexey Kutyrev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikolay Kiktev</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksii Kalivoshko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ruslan Rakhmedov</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Federal Scientific Agroengineering Center VIM, Department of Technologies and Machines for Horticulture</institution>
          ,
          <addr-line>Viticulture and Nursery, 109428</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Science Center “Institute of Agrarian Economics”</institution>
          ,
          <addr-line>03041</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>National University of Life and Environmental Sciences of Ukraine, Department of Automation and Robotic Systems</institution>
          ,
          <addr-line>03041</addr-line>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Stripe, Inc., Software Department</institution>
          ,
          <addr-line>South San Francisco, CA 94080</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Taras Shevchenko National University of Kyiv, Department of Intelligent Technologies</institution>
          ,
          <addr-line>01601</addr-line>
        </aff>
      </contrib-group>
      <fpage>90</fpage>
      <lpage>101</lpage>
      <abstract>
        <p>An intelligent system with a neural network has been developed to identify fruits on tree crowns. Based on the results of research by well-known scientists on the use of neural networks in agriculture, a recurrent neural network of deep learning was used. As a result of the field experiment, it was found that the errors of the developed software and hardware complex in estimating the size of fruits were mainly caused by inaccurate image segmentation, as well as the low resolution of the camera used. It is revealed that the convolutional recurrent deep learning network is the most suitable neural network for the tasks of apple fruit analysis, since its use allows us to recognize the contour of fruits and the foci of diseases on them with high accuracy in conditions of changing climatic parameters. The developed software and hardware complex based on the developed neural network will allow digital monitoring of both photographic materials and video streams in online mode The developed intelligent fruit monitoring system using deep learning neural networks will allow the producer of garden crops to determine the three most important parameters for him: the volume of the crop per hectare, the quality of apples - their size (translated from pixels per inch) and the degree of their maturity, the uniformity of the quality of fruits relative to a number of plantings. The use of computer vision systems with neural networks in agricultural aggregates represents a huge potential for automating accounting and decision-making control.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Neural network</kwd>
        <kwd>production process</kwd>
        <kwd>computer vision</kwd>
        <kwd>fruit recognition</kwd>
        <kwd>digital monitoring</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The development of intelligent systems and technologies for agriculture requires accurate methods
for estimating the potential yield of fruit crops. Now, when planning the harvest, agronomists are forced
to rely only on their own experience and an extremely limited set of data on the results of visual
inspection of plantings. The industry needs automated intelligent systems that will give an early forecast
of the crop with an accuracy of more than 80%. The developed intelligent system of fruit monitoring
with the use of deep learning neural networks will allow the producer of garden crops to determine the
three most important parameters for him: the volume of the crop per hectare, the quality of apples –
their size (in terms of pixels per inch) and the degree of their maturity, the uniformity of the quality of
fruits relative to the number of plantings. These parameters allow you to plan the number of seasonal
workers, the volume of storage in distribution and logistics centers and deliveries to retail chains, as
well as reduce sorting costs.</p>
      <p>
        The analysis of studies shows that the most effective way to identify biological objects in agriculture
is the use of complex systems developed using neural network technologies, computer vision, and
various spectrometry methods [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1,2,3</xref>
        ]. The use of artificial neural networks makes it possible to
recognize defects on each product unit, assess the overall condition, and report problems found in real
time [
        <xref ref-type="bibr" rid="ref4 ref5 ref6">4,5,6</xref>
        ]. The use of neural networks in agricultural machinery is a relatively new direction, which
helps to solve, among other things, the main tasks of robotic harvesting of garden crops: 1) navigation,
moving the robot across the field, from tree to tree; 2) detection and localization of the object by
coordinates; 3) determination of the degree of ripeness of the object and damage to disease and pests
[
        <xref ref-type="bibr" rid="ref7 ref8">7,8</xref>
        ]. Recurrent neural networks (CRNN) and gradient recurrent neural networks (GRNN) are used to
control the movement of robotic platforms. The recognition of apple fruits using a real-time technical
vision system is a relatively difficult task, since the time available for image processing using a neural
network when performing technological operations and making decisions based on the processing of
the obtained data is limited.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <sec id="sec-2-1">
        <title>An overview of the results of searching for fruits on trees is presented in the article Jimenez A. R.,</title>
      </sec>
      <sec id="sec-2-2">
        <title>Ceres R., Pons J. L. (2000) [9]. The methods of application are used, in particular, when sorting apples,</title>
        <p>
          this is described by İ. Kavdyr, D.E. Guyer. (2008) [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]. Automatic sorting of bicolor apples using
multispectral machine vision is described by D. Unay, B. Gosselin, et al. (2011) [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ], also M.M. Sofu,
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>O. Er et al. (2016) [12]. The image segmentation technique for bagged green apples is described by J.</title>
      </sec>
      <sec id="sec-2-4">
        <title>Lv, F. Wang, L. et al. (2019) [13]. Optical non-destructive methods for small berries in a review article by S. Li, H. Luo, et al. (2019) [14]. Fruit quality assessment using a machine vision system is described in the article by J. Blasco, N. Aleixos, E. Molto. (2003) [15].</title>
      </sec>
      <sec id="sec-2-5">
        <title>The developed system of multispectral vision, which allows signs of defects on apples, described in the work of O. Kleynen, V. Leemans and M.-F. Destain (2005) [16].</title>
      </sec>
      <sec id="sec-2-6">
        <title>A number of works appearing in different countries describe the technical means used in fruit</title>
        <p>recognition. Mobile terrestrial laser scanner for fruit detection in an apple orchard by J. Gene-Mola, E.</p>
      </sec>
      <sec id="sec-2-7">
        <title>Gregorio et al. (2014) [17]. A review of sensors and systems for detecting and detecting detected fruits in the work of A. Gongal, S. Amatya et al. (2015) [18].</title>
      </sec>
      <sec id="sec-2-8">
        <title>In works [19,20], the authors of this article single out versions of the fruit and berry detection system.</title>
      </sec>
      <sec id="sec-2-9">
        <title>In the work of D. Khort, A. Kutyrev et al. (2020) [19], a computer vision system was developed to study</title>
        <p>
          the location and ripeness of strawberries, an algorithm for automatic control of the manipulator in
Python 3.7.2 was implemented, including the determination of X and Y coordinates. berries, the degree
of its maturity, as well as by calculating the approximation from the manipulator to the berries. In the
work of I. Smirnov, A. Kutyrev, N. Kiktev (2021) [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], promising experiments with the recognition of
apples on a tree, as well as the separation of images of healthy and sick apples. The development process
of the developed neural network is implemented in the Python development language, the Spyder
development environment, the PyTorch framework used, the architecture of the building of
highprecision neural networks - MASK-RCNN. The model is trained using the TensorFlow Object
        </p>
      </sec>
      <sec id="sec-2-10">
        <title>Detection API machine learning. Of interest is also the work of American traces by P. Narayanan, A.</title>
      </sec>
      <sec id="sec-2-11">
        <title>M. Lefcourt, U. Tasch (2007) [21], which proposes a random and inexpensive methodological</title>
        <p>derivation of fruit for the onset, onset and stop of optical fruit sorting technologies.</p>
      </sec>
      <sec id="sec-2-12">
        <title>Clustering methods for monitoring the state of crops based on machine control in the work of</title>
      </sec>
      <sec id="sec-2-13">
        <title>Gnatienko G., Domrachev V., Saiko V. (2021) [22]. Mathematical hardware solutions in multi-agent robotic systems are harvesting fruits that can be based on the development of Ivokhin O.V. Oletsky, O.V. (2022) [23],</title>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Theoretical Aspects of a Research</title>
    </sec>
    <sec id="sec-4">
      <title>3.1. Classification of neural networks and choice for solving the problem</title>
      <p>
        As a result of the analysis of the existing neural networks used in agriculture, their general
classification is developed (Fig. 1). Based on the results of research by well-known scientists on the
use of neural networks in agriculture [
        <xref ref-type="bibr" rid="ref24 ref25 ref26">24,25,26</xref>
        ], a recurrent neural network of deep learning was chosen
for the optimal speed of recognition of apple fruits, their size parameters and obtaining the maximum
accuracy of the result. By the type of training-with a teacher, by the type of setting – dynamic, by the
type of input information – analog, by the type of problem to be solved-classifying. The principle of
operation of such a neural network is to divide (segment) the analyzed photo into classes and select
specific objects (disease, apple, branch, etc.). The selected neural network by its design is one of the
best models available for solving most "perception problems" (such as image classification).
      </p>
      <sec id="sec-4-1">
        <title>To implement the learning process of the developed neural network, the Python programming</title>
        <p>language and the Spyder development environment were chosen, and the PyTorch framework work
was used. The architecture of deep convolutional neural networks – MASK-RCNN-is chosen. To train
the model, the TensorFlow Object Detection API machine learning libraries, GPU computing libraries,
and libraries for working with images and graphs are used.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>3.2. Metrics for assessing the performance of neural networks</title>
      <sec id="sec-5-1">
        <title>Currently, various metrics are used to evaluate the performance of neural networks in identifying</title>
        <p>
          objects [
          <xref ref-type="bibr" rid="ref27 ref28">27,28</xref>
          ]. To assess the quality of the developed neural network, a binary classification problem
was applied, in which two classes were used - healthy apple fruits and apple fruits affected by the
disease. Used such metrics as Precision, Recall, True Positive Rate (TPR), True negative rate (TNR),
        </p>
      </sec>
      <sec id="sec-5-2">
        <title>False negative rate (FNR), False positive rate (FPR), Positive predictive value (PPV), Negative predictive value (NPV), Accuracy, F-measure, Specificity, Overall accuracy (OA), Matthews correlation coefficient (MCC), Balanced Accuracy (BA). 92</title>
      </sec>
      <sec id="sec-5-3">
        <title>An error matrix (inaccuracy matrix) has been constructed, in which the “predictions” of the algorithm metrics are located horizontally, along the vertical “answers” are the true class labels.</title>
        <p>computed class is taken as the "positive" class, and all other classes as the "negative" one. In this case,
the formula for the Accuracy metric takes the following form, the formula:</p>
        <p>Average Accuracy =</p>
        <p>∑
 =1(TP + TN + FP + FN</p>
        <p>)
TP + TN</p>
        <p>K
;
where K is the number of classes, pcs.</p>
      </sec>
      <sec id="sec-5-4">
        <title>The Precision metric takes the following form, the formula:</title>
      </sec>
      <sec id="sec-5-5">
        <title>The Recall metric takes the following form, the formula:</title>
      </sec>
      <sec id="sec-5-6">
        <title>The F-score metric takes the following form, the formula:</title>
        <p>Average Precision =
Average Recall =</p>
      </sec>
      <sec id="sec-5-7">
        <title>The AUC-ROC metric takes the following form, the formula is:</title>
        <p>where f(c) is the relative frequency of the class.</p>
      </sec>
      <sec id="sec-5-8">
        <title>The Specificity metric takes the following form, the formula:</title>
        <p>Average F − score =

∑
 =1(2 · Precision + Recall) 
Precision · Recall
;
AUC − ROC
= ∑ AUC − ROC(c ) · f(c )</p>
      </sec>
      <sec id="sec-5-9">
        <title>The Overall accuracy (OA) metric takes the following form, the formula is:</title>
      </sec>
      <sec id="sec-5-10">
        <title>The Balanced Accuracy (BA) metric takes the following form, the formula is:</title>
        <p>Average Specificity =

∑
 =1(TN + FP)</p>
        <p>TN
K
Average OA =</p>
        <p>TP + TN
∑iK=1(TP + TN + FP + FN)i</p>
        <p>K

 =1</p>
        <p>∑
 =1(TP + FP)</p>
        <p>TP

∑
 =1(TP + FN</p>
        <p>)
K</p>
        <p>TP
K</p>
        <p>K
;
;
;
;
Average BA =
1
∑iK=1( 2 · (Recall + Specificity))i
K
;
3.2.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Software and hardware for fruit recognition in the garden</title>
      <sec id="sec-6-1">
        <title>To collect photos during training, several Nikon D3500 AF-S 18-140 VR cameras were used, the</title>
      </sec>
      <sec id="sec-6-2">
        <title>Nikon Nikkor AF-P DX F 18-55 mm lens was determined at shooting distances of 0.2 m, 0.5 m and 1.0</title>
        <p>m, from angles that overlap each other. More than 25,000 photos of the specified classes of apples were
taken. To train the neural network, well-known algorithms for expanding the training set with distorted
image variants (augmentation) of the Python imgaug 0.3.0 library are used. (shifts, small rotations,
Gaussian blur, noise). Using the data markup technique allows you to select the necessary objects in
the image and assign the desired class to each bounding box. As a result of the conducted research, a
computational algorithm for recognizing apple fruits was created. The first stage includes creating a
recognizer program: importing the libraries necessary for operation, creating a configuration file with
predefined fields, forming a file with the "weights" of the trained neural network and specifying the
path to its location, creating a neural network model with previously set settings, processing the base
data set in the current directory, analyzing the resulting information array, activating and calling the
object selection function, adjusting the object selection function.</p>
      </sec>
      <sec id="sec-6-3">
        <title>The second stage includes contextual object recognition functions: creating a contextual function for</title>
        <p>recognizing the required objects, and correlating the contextual function.</p>
        <p>The third stage includes the formation of a reference and training sample, as well as the formation
of the main test data set. The reference sample is formed from images (photos) obtained under ideal
laboratory conditions by shooting identifiable objects (elements of the growth cover of several varieties
of garden apple trees affected by different forms of plant diseases at different stages of development)
under artificial lighting on a flat, monotonous, non-glare surface (screen). When the image is captured,
the screen is placed behind the subject and covers the entire background in the frame. The object is
strictly in the focus of the camera. The presence of light spots from flashes and light sources, shadows,
the presence of foreign objects in the frame is not allowed. The training sample is formed from images
(photos) obtained in real production conditions by shooting identifiable objects (elements of vegetation
cover of several varieties of garden apple trees affected by different forms of plant diseases at different
stages of development) under artificial and natural lighting on a flat, monotonous, non-glare surface
(screen). When the image is captured, the screen is placed behind the subject and covers the entire
background in the frame. The presence of light spots from flashes and light sources, defocusing,
shadows, the presence of foreign objects in the frame is not allowed. The use of different substrates
(backgrounds) when creating the same selection is not allowed. The main test data set is formed from
images (photos) obtained in real production conditions by shooting identifiable objects (plant cover
elements of several varieties of apple trees affected by different forms of plant diseases at different
stages of development) under artificial and natural light without using additional means of background
correction (screens, etc.). The presence of light spots from flashes and light sources, defocusing,
shadows, the presence of foreign objects in the frame is not allowed.</p>
      </sec>
      <sec id="sec-6-4">
        <title>The fourth stage involves training the neural network and implementing the object recognition function for similarity with a given mask: implementing the function of interpreting the compared objects in the form of matrices, finding key points and descriptors using the SIFT algorithm, setting up the algorithm, and pre-testing the algorithm.</title>
      </sec>
      <sec id="sec-6-5">
        <title>The main difference between the used detection algorithm and the existing ones is to determine the</title>
        <p>probability of the presence of the desired object in the entire image, in each of its segments, regardless
of their number. The search is performed by pre-configured descriptors throughout the image field,
then, based on the concentration of probabilities, a conclusion is made about the presence of the desired
object in the image.</p>
        <p>At the first stage of the analysis, the neural network checks the image for the presence of an object
and selects it in a frame. To do this, we use the efficient YOLO (You only look once) algorithm, which
allows you to select objects in the image. In the second stage of the analysis, the neural network
determines the exact boundaries of the object. Algorithms for step-by-step reduction of image quality
are used to search for known dependencies (distinctive features or patterns of the desired object in the
image). The image is convoluted step by step from layer to layer by mixing neighboring pixels,
depending on the task to the size of 2x1 pixels. To search for objects and their distinctive features, a
neural network is trained using a prepared data set of the desired object. To prepare the sample for
training, in the first approach, it was decided to divide the apples into 2 classes: the apple and the
background, and make a markup of the photos. The open source program VGG ImageAnnotator (Fig.</p>
      </sec>
      <sec id="sec-6-6">
        <title>2) was chosen as the markup.</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>4. Practical Implementation</title>
    </sec>
    <sec id="sec-8">
      <title>4.1. Processing the results of the experiment</title>
      <sec id="sec-8-1">
        <title>A Basler ace 1920-155uc camera with a GigE interface and a Sony IMX174 CMOS sensor with a</title>
        <p>frequency of 164 frames per second was used for field research. The camera matrix has a resolution of
up to 1920 x 1200 pixels, a resolution of 2.3 mega-pixels. To measure the illumination, a Radex Lupin
luxmeter (Quarta Rad, China) was used, with a relative measurement error of 10%. As a result of the
research, a computer vision system with a neural network for recognizing apple fruits was developed.</p>
      </sec>
      <sec id="sec-8-2">
        <title>To configure and verify the calculated parameters, an analysis of its operation was carried out. To avoid</title>
        <p>errors caused by partially hidden apples, only fully visible apples (from at least one side of the canopy)
were considered in the study. This is done to ensure that the same apples were used to compare the
number of fruits determined by the recognition system and the number measured manually. The results
of identification of apple fruits on the tree crown are shown in Figure 3, 4. The results of the experiment
are presented in Table 2.</p>
      </sec>
      <sec id="sec-8-3">
        <title>It was found that the accuracy of estimating the number of apples on the tree crown compared to the</title>
        <p>true value measured manually was at least 88.9%. With the help of the developed intelligent system,
under changing climatic conditions, an average of 45 apples per tree crown were determined, with their
true value of 50 pieces. The average absolute percentage error was 11.2% with a five-fold repetition of
the measurements.</p>
        <p>The main errors in estimating the number of apples are related to the segmentation of low-resolution
images. This is due to the detection of only partial areas of apples or the erroneous perception of the
environment and background as areas of apples, which led to inaccuracies in the identification of apples
in the images. In addition, inaccuracies in the estimation of the number of apples are due to the low
resolution of the images. These errors in estimating the number of apples per tree crown can potentially
be reduced by increasing the camera resolution to 3840 × 2160 pixels.</p>
      </sec>
    </sec>
    <sec id="sec-9">
      <title>Neural network quality assessment</title>
      <sec id="sec-9-1">
        <title>The calculation of metrics for assessing the quality of the developed neural network was carried out on different samples, more than 5 thousand photos of an apple orchard were used for agaliz (Fig. 5).</title>
        <p>Metric</p>
      </sec>
      <sec id="sec-9-2">
        <title>The value of the area under the Precision-Recall curve when using two classes was 0.908. To assess</title>
        <p>the definition of errors, an ROC curve was constructed, on which the values of the proportion of False
positive rate (FPR) are set along the abscissa axis, and the proportion of true positive responses True</p>
      </sec>
      <sec id="sec-9-3">
        <title>Positive Rate (TPR) along the ordinate axis (Fig. 7).</title>
      </sec>
      <sec id="sec-9-4">
        <title>The higher the graph, the greater the TPR value and the higher the quality of the resulting model.</title>
      </sec>
      <sec id="sec-9-5">
        <title>To identify how the developed model differs from the random one, the area under the ROC curve (AUC</title>
      </sec>
      <sec id="sec-9-6">
        <title>ROC metric) was calculated. AUC-ROC is a quality metric, defined from 0 to 1. The AUC-ROC of a</title>
        <p>random model is 0.5. Analysis of the resulting graph showed that the value of the area under the AUC</p>
      </sec>
      <sec id="sec-9-7">
        <title>ROC curve is 0.957.</title>
      </sec>
      <sec id="sec-9-8">
        <title>The results of processing the obtained data, the calculated values of the multi-classification metrics are presented in Table 4. The PR curve using six classes is shown in Figure 8. The value of the area under the Precision-Recall curve using six classes is 0.812. The ROC curve using six classes is shown in Figure 9. The area under the ROC curve using six AUC classes is 0.911</title>
      </sec>
    </sec>
    <sec id="sec-10">
      <title>5. Discussion</title>
      <sec id="sec-10-1">
        <title>As a result of the field experiment, it was found that errors in estimating the number of fruits were</title>
        <p>mainly caused by inaccurate image segmentation, as well as the low resolution of the camera used.</p>
        <p>It is revealed that the convolutional recurrent deep learning network is the most suitable neural
network for the tasks of identifying apple fruits, since its use makes it possible to recognize the contour
of the fruit with high accuracy in conditions of changing climatic parameters. This is in demand when
implementing digital technologies in the field. The developed software and hardware complex based
on the created neural network will allow for digital monitoring both by photo materials and by video
stream in online mode. Using the created neural network and class allocation algorithms, the developed
intelligent system will be able to function stably in industrial plants regardless of the size and
interference of the foliage, determine the color of the fruit surface and the size of the fruit, identify the
presence of diseases and defects of the fruit with a probability of at least 99%. This is possible as a
result of the incremental expansion of the dataset during the operation of the complex and the gradual
evolution of the solution by training the network in the process of working on new data. The developed
system will expand the functionality not only for monitoring the productivity of fruit crops, but also for
robotic fruit harvesting.</p>
      </sec>
      <sec id="sec-10-2">
        <title>This system is already associated with robotic platforms for identifying trees and apples during their collection [29], during spraying [30], and can also be applied to large bushes and strawberries [31]. In the future, functional systems will be expanded to determine not only its fruit quality, but also flavors.</title>
      </sec>
    </sec>
    <sec id="sec-11">
      <title>6. Conclusions</title>
      <sec id="sec-11-1">
        <title>As a result of the research, an intelligent system with a neural network was developed to estimate</title>
        <p>the number of apples on the crowns of trees. The analysis showed that the developed neural network
model has high performance and high quality ordering of class objects. The area under the ROC curve
and PR curve is in the range 0.5 &lt; AUC/PR &lt; 1, which indicates a high probability that the classifier
will be able to accurately distinguish between positive and negative class values.</p>
        <p>The harmonic mean between Precision and recall was Average F-score = 0.946, which indicates a
high degree of search for relevant results.
7. References</p>
      </sec>
    </sec>
  </body>
  <back>
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