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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Analyzing Digital Image Processing Capabilities while Growing Crops</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>National Aviation University</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Defence University of Ukraine named after Cherniakhovskyi</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Yessenov University</institution>
          ,
          <addr-line>Aktau</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2056</year>
      </pub-date>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Global technological development in the world has created new competitive conditions for farmers. Therefore, today cultivation of different crops cannot be imagined without modern means of control and processing of biometric information about the plant. Data that serve as criteria for evaluating such information include a number of visual and biological attributes. If the biological signs of plant diseases cannot be determined without special analyzes, then the visuals are effectively captured by digital imaging tools. In addition, carrying out special biological analyzes is a rather painstaking and complicated procedure, which requires not only time but also considerable resources. And the most important problem in such studies can be considered the inability to grasp the entire acreage of plants, if not separate miniature greenhouse complexes. In contrast to biological assessment of the condition of plants, visual gives a number of advantages in the cost of such studies, the speed of their conduct, and the ability to reach the entire acreage. However, the disadvantage of this approach is the quality of plant evaluation, which depends primarily on digital imaging technologies, the correctness of the application of an algorithm for recognizing a particular disease, the effectiveness of video surveillance hardware and the speed of transmission of digital images. Therefore, it is precisely the methods and tools for digital image processing that are the subject of research in this work, and also have a high relevance in the agro-industrial field.</p>
      </abstract>
      <kwd-group>
        <kwd>image recognition</kwd>
        <kwd>plant disease</kwd>
        <kwd>machine vision</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Today, image processing is an effective tool for analyzing the state of plants in
various fields of agriculture. Visual analysis techniques such as thermal imaging,
hyperspectral imaging, photometric imaging and others based on image research have made
a significant contribution to the technological development of agriculture and have
fully justified their purpose. The image analysis process has the following steps:
1. Determining the features of the image, characterized by certain points that can
be explored by the use of special filters;
2. Establishment of their coordinates for further diagnostics;
3. Identification of the features of these points for their identification.</p>
      <p>All this allows us to recognize certain plant diseases with a high degree of
accuracy, namely:
1. Find the site of plant disease;
2. Quantify the degree of its development;
3. To examine the affected area for features of the disease;
4. Determine the size of the plant itself.</p>
      <p>As a result of this analysis, you can determine the methods of crop management,
detect the presence of weeds, estimate the required amount of nutrients to improve
plant growth, etc.</p>
      <p>Therefore, image analysis can be considered as an effective tool for
nondestructive means of identifying plant diseases.</p>
      <p>The analysis showed that image recognition algorithms such as: SIFT; SURF;
ORB; FAST; PCA-SIFT; F-SIFT are popular today.</p>
      <p>Thanks to these algorithms, it is possible to define special points in the image and
set their descriptors, which are quantitative characteristics of the neighborhood of
special points, which are laid out in a certain sequence. Such a sequence is called the
histogram of descriptors.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Literature Analysis and Problem Statement</title>
      <p>
        As a result of the analysis of the literature, it is determined that these algorithms are
widely used in agriculture, but each has individual features [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4">1-4</xref>
        ]. They are in the ratio
of the received descriptors. Yes, some can be used in invariance of the image to scale
and size, but at the same time have a considerable load on the computer system,
others are not resistant to invariance, but fast in implementation. In general, there is no
one-size-fits-all approach to image recognition, each algorithm can be applied to
different tasks separately.
      </p>
      <p>
        The vast majority of works describing the possibility of using machine vision in
agriculture characterize the methods of detection of plant diseases by such criteria as
the characteristics of the color of the plant [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and features of the structure of their
leaves [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. However, a more logical and effective way is to combine these approaches
into one.
      </p>
      <p>
        In practice, tasks that are related to the recognition of features of a certain size
(recognition of plant defects) are often encountered. Therefore, in solving such
problems, the features of the image processed by the numerical matrix [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] are established
in order to determine local characteristics. In such circumstances, the construction of
an algorithm for the diagnosis of plant diseases faces a considerable number of
computational difficulties. This is due to the need to process large data sets.
      </p>
      <p>
        No less important obstacle to the identification of plant disease by color is the
noise generated by the camera flash or the change in light and many other factors. For
this purpose, scientists apply different filters [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Depending on the plant and the
features of the images, they try to find the optimal filter. For example, in [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], for the
detection of rice diseases, it was proposed to use the Otsu method, which enables the
use of low-pass filters to reduce unnecessary noise.
      </p>
      <p>
        In order to identify spots that are poorly visible and which are signs of plant
disease, a filter was used in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] to smooth the image, in order to further identify the
edges of the image.
      </p>
      <p>
        In order to identify the maximum number of criteria for plant disease on a digital
image, it requires multistage processing. So, to identify the color signs of the disease
use filters of a certain color. However, the color of most plants is heterogeneous.
Therefore, if it is simply formalized by a single number (for example, the mean), it is
unlikely that this feature will be selective. Therefore, some researchers, to increase the
saturation of the hue, first convert the RGB image classification to HSV. After that,
the separation of color clusters that characterize the affected area of the plant is used
[11]. Others convert RGB images to YCbCr, which also produces good results [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>Then, to reduce unnecessary noise, a low-pass and high-pass filter is smoothed out,
giving a clearer image structure. After that, painful spots are identified. Applying this
stage of identification can determine a significant percentage of the disease, but this is
not sufficient, because in addition to the color shades, the plant also has specific
forms of painful spots (Fig. 1). And their accurate detection can greatly increase the
accuracy of diagnosis.</p>
      <p>The figure shows the originals of images that have signs of disease-leaves. Their
contours are highlighted using the Kenny operator [12]. These spots have special
points that can be identified by the detectors mentioned in the article.</p>
      <p>To select the most effective detectors, they should be classified by category.</p>
      <p>The aim of this study is to study the characteristics of popular spot and color
detectors using plant disease identification.</p>
      <p>Such a goal can be achieved by statistically examining the results of the
identification of plant diseases, using the detectors mentioned in the article, by determining the
most optimal result.
3</p>
      <p>Ways to identify plant diseases based on color spectrum
filters and special points
For the initial identification of the disease of the plant, the most pronounced sign can
be considered a color change on its outer parts (leaves, stem, fruits).</p>
      <p>The first step to determine the color features of a plant disease is the need to filter out
noise in the image by smoothing its histogram. The color spectrum is then filtered.
For example, in the HSV color space, given the saturation.</p>
      <p>As a result of color filtering, it is necessary to highlight the specified range of a given
color spectrum and to set specific points on it, which must be invariant to scale and
transformation.</p>
      <p>The part of the image thus obtained can be examined by its shape and external
features. Special point detectors must be used for this purpose.</p>
      <p>The use of special point detectors on selected parts of the image has some difficulties
because they have different clusters and different scales. However, the spots have
some similarities.</p>
      <p>Therefore, edge detectors can be used to identify such pain spots. To reduce
unnecessary noise, filters are used.</p>
      <p>Today, the Kenney filter has become widely used for image border detection. The
principle of its action is as follows [13]:
1. Noise smoothing is performed;
2. The gradient analysis method is applied. With respect to the intensity of the
color change, image contours are determined, highlighting only local maxima;
3. Boundaries are determined by suppressing edges that are not connected to the
main boundaries.</p>
      <p>Painful spots, as noted above, have similar features. To distinguish them more
clearly, we apply the Gauss method. The kernel of this filter is expressed by the
formula:</p>
      <p>F gauss(i, j) </p>
      <p>1
2 2
exp(
i 2  j 2
2 2
),
(1)
where:
i, j are the pixel coordinates of the image;
σ is noise.</p>
      <p>Thus, using this filter, it is possible to blur the noise. Noises are an obstacle to
discover the unique features of the plant's painful spots.</p>
      <p>The last step to double identifying painful spots is to use the detector of special
points that are difficult to isolate, due to changes in lighting and tilting of the camera.
However, if you look at a particular plant disease, you may find that its visual
characteristics have some similarity.</p>
      <p>The most well-known detectors used today to solve such problems include SIFT,
SURF and ORB.</p>
      <p>The SIFT detector [14] includes two main steps, which are to determine the
specific points in the image that are invariant to scale and rotation. And also, to further
correlate them with other images, it is necessary to define the descriptors of such points.</p>
      <p>The first stage is implemented using the Gaussian Pyramid, as well as the
Difference of Gaussian (DoG).</p>
      <p>Gaussian is considered an image that is blurred by a Gaussian filter.</p>
      <p>L(x, y, )  L(x, y, ) * L(x, y), (2)
where:
L is the Gaussian value at the point with coordinates (x, y);
Σ is blur radius;
G is a Gaussian kernel;
I is the value of the original image;
* - convolution operation.</p>
      <p>In this case, the difference is called the Gaussians image obtained by subtracting
each pixel of one Gaussian source image from a Gaussian with a different blur radius.</p>
      <p>D(x, y, )  (G(x, y, k )  G(x, y, )) * I ( x, y) 
 L(x, y, k )  L(x, y, ),</p>
      <p>To determine the special point, together with the construction of the Gaussians
pyramid, a pyramid of differences of Gaussians is constructed, consisting of
differences of neighboring images in the pyramid of Gaussians. Accordingly, the number of
images in this pyramid will be N + 1.</p>
      <p>After constructing the pyramids, a point can be considered special if it is local to
the extremes of the Gaussians difference.</p>
      <p>The refinement of singular points is achieved by approximating the DoG function
by the second-order Taylor polynomial taken at the point of the determined
extremum.</p>
      <p>After refinement, based on the neighborhood of the singular point, a descriptor is
constructed, which can be represented as a gradient matrix by each pixel surrounding
the singular point.</p>
      <p>The result of constructing such a matrix is to create a histogram of the descriptor,
which is used to further correlate the image with others.</p>
      <p>SIFT detectors are most recommended for feature matching in images [15]. But to
increase the speed of calculation, if necessary, fast detectors such as SURF are used.</p>
      <p>SURF has a performance close to SIFT. Although studies have shown that when
speed is not a critical factor, SIFT is superior to SURF [16]. Thus, the SURF method
(3)
uses the Hessian matrix to find the singular points, whose determinant reaches the
extremum at the points of maximum change in the brightness gradient.</p>
      <p>For example, the original image is given by the intensity matrix I. The current
pixel, which is analyzed for color intensity change, can be denoted by X = (x, y). Scale of
the filter σ. Then the Hessian matrix will look like this:</p>
      <p>Lxx ( X , )
H(x, )  
Lxy ( X , )</p>
      <p>Lxy ( X , )</p>
      <p>,
Lyy ( X , )
(4)
where: Lxx (x, ), Lxy (x, ), Lyy (x, ) are convolutions of the approximation of
the second Gaussian kernel derivative with image I.</p>
      <p>Thus, the determinant of the Hessian matrix reaches the extremum at the points of
maximum change in the brightness gradient.</p>
      <p>The SURF method uses a Gaussian kernel filter throughout the image, finding
specific points at which the maximum determinant of the Hessian matrix is reached.
Thanks to this search, both dark spots on a white background and vice versa stand out.</p>
      <p>Unlike SIFT, the SURF method, without checking the accuracy of the points
found, immediately generates descriptors.</p>
      <p>SURF is a set of 64 numbers for each key point, which, unlike SIFT (128
numbers), has a smaller dimension. Just like SIFT, SURF is invariant to rotation and scale.</p>
      <p>The ORB method, for finding key points, determines the intensity limit between
the center pixel and the circle described around it.</p>
      <p>Once specific points have been identified, an Harris angle detector is used to
refine them [17].</p>
      <p>To obtain N key points, the first step uses a low threshold. This is done in order to
get more special points N. They are then sorted using the Harris metric. In this case,
the first N points are selected.</p>
      <p>ORB is also invariant to rotation by constructing a descriptor of points obtained
based on the BRIEF modification [18].</p>
      <p>Considering the capabilities of special spot detectors in images, color isolation
methods, smoothing techniques and edge detectors, one can construct an algorithm for
identifying plant diseases as follows [19-21]:
1. Receiving an RGB image from the video camera;
2. Converting an array of image points into an HSV array to set the boundaries of
the color spectrum of painful spots depending on the color gamut range;
3. Separation of a painful spot by its color characteristics from other points of the
image
4. Allocation of borders of painful spots that occur on the centers of the disease;
5. Noise-smoothing in order to distinguish clear forms of such area;
6. Finding special points and their descriptors;
7. Comparison of descriptors with descriptors found in other images on the
relevant signs of plant disease.</p>
      <p>Digital image processing to determine the features of plant
diseases (for example, red currant disease)
To solve the problem of identifying the disease of red currant by machine method,
visual signs of individual painful spots are needed. Let it be the leaves of a plant that
shows signs of disease that have a specific color (Fig. 2).
d
d
a
b</p>
      <p>c</p>
      <p>To determine the color range by which individual points of the image
characterizing the currant disease cell will be highlighted, the color spectrum range is set. In
order to increase the spectrum, it is necessary to convert the RGB format to HSV. In
this case, color low = (4,73,47), color high = (18,255,200) in HSV format. Then we
separate the points that are in this range and get the area of characteristic signs of the
disease.</p>
      <p>To establish the specific contours of this area, we will use the Kenny Border Detector.
Then, after low- and high-frequency filtration with a Gaussian filter, we get a
smoothed image that more clearly reflects the unique signs of the disease.</p>
      <p>The software implementation was performed using the OpenCv library in Python
programming language.</p>
      <p>Thus, filtered areas of red currant disease have the following form. (Fig. 3.)
a
b
c</p>
      <p>Natural peculiarities of painful spots, have certain protuberances. As can be seen in
the figure, after filtration, they stand out in the form of similar ellipses. Their
difference lies in scale and location.</p>
      <p>Based on such forms, we apply to the determination of their uniqueness SIFT and
SURF detectors, which are invariant to scale and rotation. After receiving the special
points, we fix their number, determine the number of similar descriptors with the
sample image (Fig.4 b), and fix the processing time for each of the detectors (Tab. 1).
a b</p>
      <p>Fig. 4. Sample of sick red currant leaves</p>
      <p>As a result of the study, one can observe a higher speed of operation of the SURF
detector compared to SIFT. However, the efficiency of SIFT is twice the number of
descriptors found.</p>
      <p>Some images, such as Fig. 3, d have the highest number of similar descriptors
when correlated with the image descriptors Figs. 4. This is due to the fact that the
structure of the painful spot on the leaves of red currant consists of elliptical forms,
which are most clearly expressed in Fig. 3, d. Such elliptical shapes determine the
detectors in the process of image correlation. The average percentage of similar
descriptors with the comparative image (Fig. 4 b) using the SIFT detector is 27%, SURF
- 28%.
5</p>
    </sec>
    <sec id="sec-3">
      <title>Conclusion</title>
      <p>Analysis of digital imaging methods in agriculture has shown the high relevance of
the development of machine vision technology. However, the large number of
recognition errors is a major drawback [22-25]. The considered example of double
identification of the affected area of the diseased plant, using color spectrum detectors, as
well as special point detectors, was proposed in order to increase the identification
accuracy of a single part of the image. As a result, it has been found that the SIFT
detector is the most optimal for determining special points in the image, but it requires
considerable computing power, which is proved during the experiment. The SURF
detector showed faster action, but the number of special points found on the images
under study was less than twice that of the SIFT detector.
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