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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Improved Canny's Method for Laser Scribes Contour Selection in Solar Cells</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>International Vision Machinery</institution>
          ,
          <addr-line>VISORT Sp., J.Radom, 26-600</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ternopil National Economic University</institution>
          ,
          <addr-line>Ternopil, 46020</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>A modified Canny's method for contour image segmentation was developed. It is based on the configuration of the Gaussian filter core for the proposed image types. The method has been implemented using Matlab software in the form of executable m-scripts with the user interface developed in App Designer. The implementation of the developed method allows improvement of the laser scribes contour detection for the organic thin-film solar cells.</p>
      </abstract>
      <kwd-group>
        <kwd>Image Processing</kwd>
        <kwd>Contour Segmentation</kwd>
        <kwd>Solar Cells</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        One of the main purposes of image processing is the image content interpretation. To
fulfill this, it is necessary to separate the background from the objects. Segmentation
enables to divide the image into components or objects, it separates the object from the
background so that the image can be easily processed, as well as, its content can be
easily identified. Highlighting contours in the image is a fundamental tool for a quality
image segmentation. Contours significantly reduce the amount of data for image
processing, while preserving important information about the objects in the image, such as
their shape, size and amount [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4 ref5 ref6 ref7 ref8 ref9">1-9</xref>
        ].
      </p>
      <p>
        Rapid development of the functional possibilities in the means of production control
and the relatively low cost of digital technologies has led to their active use at various
production stages. These innovations did not leave the industrial production of the
flexible thin-film solar cells [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15 ref16 ref17 ref18">10-18</xref>
        ] without attention.
      </p>
      <p>
        However, the solar panels manufacture is a very precise process that is why the
damage detection and classification must be done with high accuracy and at a short period
of time. For quality control while searching for the faults, the human eye is not as good
as the specialized systems. Therefore, means of artificial intelligence and machine
vision have become extremely helpful for those cases above [
        <xref ref-type="bibr" rid="ref19 ref20 ref21 ref22 ref23 ref24 ref25 ref26 ref27 ref28">19-28</xref>
        ].
      </p>
      <p>However, in this area we have a lack of a system that would fully recognize the fault
during the production. This caused by the fact that the resulting images are extremely
specific, and not every image recognition system can be applied.</p>
      <p>
        An extremely important procedure of the image recognition system (in damaged
lines) is the selection of the processed image contours. Contours selected from
nontrivial images are often damaged by fragmentation, which means that the contour
borders are not connected, there are no contours, and there are false contours (the ones that
do not correspond to the studied in the image) which is complicating further task of
image data interpreting [
        <xref ref-type="bibr" rid="ref29 ref30 ref31 ref32 ref33">29 -33</xref>
        ].
      </p>
      <p>This paper is devoted to improving the laser scribe contour detection of the organic
thin-film solar cells and has the following structure: in section 2, an analysis of
available sources-analogues is carried out, in section 3 the process of collecting images and
an improved method of contour image segmentation are described. Section 4 presents
the methodology and results of experimental studies, and section 5 summarizes the
obtained results.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <p>
        A large number of contour and edges selecting algorithms is described in the literature.
The most popular methods include the following ones: Roberts’, Sobel’s and Prewitt’s
operator, Canny’s algorithm and LoG-algorithm [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4 ref5 ref6">1-6</xref>
        ]. For Canny’s detector, high
accuracy while detecting the objects edges in the image, is peculiar especially when it
concerns their position. Roberts’ detector is very easy to use, but it does not provide
desired results when working with defocused images. The contour lines obtained this
way are wide, blurred and indistinct, which makes it impossible for the automated
systems to recognize them. The Prewitt’s detector is characterized by a high degree of edge
detection accuracy and noise resistance, but its disadvantages are the complexity of
calculations, significant image processing time and low efficiency when working with
blurred images.
      </p>
      <p>
        However, there is currently no universal method or algorithm for selecting image
contours. To determine the appropriate contour selecting algorithm, the orientation and
structure of the contour, as well as the presence and type of noise in the image are taken
into consideration. Each of the algorithms solves its own class of problems,
qualitatively highlighting only certain type of contour that is why the task to create the contour
segmentation methods of the image is relevant [
        <xref ref-type="bibr" rid="ref32 ref33 ref34 ref35 ref36">32-36</xref>
        ].
      </p>
      <p>
        Existing contour selection methods also differ in the applied filters and smoothing
methods. One of which is the Gaussian filter [
        <xref ref-type="bibr" rid="ref34 ref35 ref36">34-36</xref>
        ], which is based on the classical
Gaussian function for two variables [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]:
 ( ,  ) =
      </p>
      <p>1
2  2

−
 2+ 2
2 2
(1)
were σ is a standard deviation of the normal distribution, which in this case specifies
the "degree of blurring" of the processed image; x, y - the distance from the starting
point (a pixel) to the point for which the value of the function is calculated vertically
and horizontally, respectively.</p>
      <p>
        Thus, based on the Gaussian function, we can construct a convolution matrix,
according to which for each pixel of the image average weighted value of neighboring
pixels is calculated [
        <xref ref-type="bibr" rid="ref37">37</xref>
        ]:
      </p>
      <p>=−  =−

filter, all noised pixels (pixels whose brightness differs profoundly from the brightness
of the neighboring pixels) take an average value, that is noise is suppressed, and the
contours of objects are emphasized, which is very useful when recognizing images in
digital images.</p>
      <p>Taking into account the given analysis, this paper proposes a method of contour
selection based on the Canny’s method with a modification of the Gaussian filter core,
which enables to improve the results of laser scribes contour detection of the organic
thin-film solar cells.
3
3.1</p>
    </sec>
    <sec id="sec-3">
      <title>Material and Methods</title>
      <sec id="sec-3-1">
        <title>Image Collection Process</title>
        <p>During the production of organic thin-film solar cells, the laser scribes are
photographed and analyzed autonomously. Images are taken using linear cameras and
combined together into the one image. According to the technological process, the work is
performed in a vacuum, which unfortunately reduces the image quality of the camera’s
optical system mirrors. The quality of the resulting image is also affected by the uneven
lighting. Fig. 1 shows fragments of the images (packages) after brightness correction.
of lines that are too close together can be visually combined and presented as one broad
line, which in turn can lead to misinterpretation. For example, extremely close vicinity
of two scribes can lead to an error of "rather small distance" or, in the case of gluing
two scribes, to several errors: "scribe too wide" and "no scribe".
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Proposed Algorithm</title>
        <p>
          The developed image contour segmentation algorithm differs from the classical
Canny’s one [
          <xref ref-type="bibr" rid="ref1 ref6">1, 6</xref>
          ] by modification of coefficients for image folding at calculation of
the gradient figure 2.
        </p>
        <p>
          The developed method of contour image segmentation differs from the classical
Canny’s [
          <xref ref-type="bibr" rid="ref1 ref6">1, 6</xref>
          ] by modification of coefficients for image folding at calculating of the
gradient. The method is described in details at Fig. 2, and the modification of the
coefficients is implemented in block 3 which work process will be described below.
1
2
3
4
6
7
        </p>
        <sec id="sec-3-2-1">
          <title>Start</title>
        </sec>
        <sec id="sec-3-2-2">
          <title>Noise reduction</title>
        </sec>
        <sec id="sec-3-2-3">
          <title>Image folding with a changed coefficient</title>
        </sec>
        <sec id="sec-3-2-4">
          <title>Gradient calculation</title>
          <p>5
Non-maximal suppression</p>
        </sec>
        <sec id="sec-3-2-5">
          <title>Edge tracking using hysteresis End</title>
          <p>According to the technological process, the images of the organic thin-film solar
cells (see Fig. 1) are pre-processed by the existing software, after which it can be used
by other third-party systems for further analysis (Fig. 3). As it can be seen, there are
defects with gluing and breaking scribes on it. To obtain closed contours at the top and
bottom, the input image has to be extended with the frame of background color.</p>
          <p>Let’s consider the work of algorithm for such image processing. The main task of
the algorithm is to select the contours of the scribes, while the contours of individual
elements should not be open to the possibility of their further analysis for defects - gaps,
mergers or lack of contour.</p>
          <p>
            One way to get rid of the image noise is to use Gaussian blur to smooth it out. To do
this, use the technique of collapsing the image with a Gaussian core (3x3, 5x5, 7x7,
etc.). The size of the core depends on the expected erosion effect. The smaller the core,
the less noticeable the blur. As the main function for calculating the kernel matrix the
following function can be used [
            <xref ref-type="bibr" rid="ref37 ref38">37, 38</xref>
            ]:
 ( ) =
 cos( 2)−2
  2 + 1
(3)
where a - sets the degree of the blur.
          </p>
          <p>Local maximum of this function are used to construct the matrix. For each pixel of
the image, the weighted average value of the nearest pixels is calculated, but the
brightness of the nearest pixels is averaged at an earlier step of the iterative procedure.
Depending on the distance to the central pixel for which the new brightness value is
calculated, a local maximum of the function is assigned to each neighboring pixel. Based
on this technique, the authors proposed a modified Gaussian core sized 5x5:</p>
          <p>After applying the blur, we proceed to the calculation of the gradient, during which
the intensity and direction of the contour is determined. The simplest is the use of filters
that highlight the change in intensity in both directions: horizontal (Ox) and vertical
(Oy). Figure 4 shows the image obtained after calculating the gradient intensity:</p>
          <p>After applying the gradients, some ribs become thick and others are thin. The stage
of non-maximal suppression helps with softening the thick edges. Final image should
have fine contours, so it is necessary to ensure non- maximal suppression. To do this,
the algorithm passes through all points on the gradient intensity matrix and finds pixels
with the maximum value of suppression in the edge directions.</p>
          <p>Each pixel has two main criteria: edge direction in radians and pixel intensity (0 to
255). Based on these data, the following non-maximal suppression steps can be formed:
(i) create the matrix initialized to 0, which has the size of the original gradient intensity
matrix; (ii) determine the direction of the edge based on the value of the angle from the
angular matrix; (iii) check whether the pixel in the same direction has a higher intensity
than the pixel being processed; (iv) return the image processed by the non-maximal
suppression algorithm.</p>
          <p>The result is the same image, but with thinner edges in Figure 5. However, it is
possible to see some changes in the intensity of the edges: some pixels look brighter than
the others.
Based on the threshold results, the hysteresis consists of converting weak pixels into
strong ones, if and only if at least one of the pixels around the calculated pixel is strong.
The results of the hysteresis can be seen in Figure 6.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Case study</title>
      <sec id="sec-4-1">
        <title>Experimental Technique</title>
        <p>The proposed method is preferable to implement in the Matlab software in the form of
executable m-scripts, the user interface is developed on the basis of App Designer
[3942] (Fig. 7).</p>
        <p>
          To create an ergonomic and intuitive interface, it was decided to divide the interface
into three parts. In the left control panel, images are downloaded and managed. In the
central part, we may employ a group of tabs to view images at different stages of its
processing and the results of the program. Use the toolbar on the right to configure and
launch the contour selection program. The "Convert" button converts the input image
to gray using a gray filter. Checkbox “Add Frame” with a color selection module
enables to create a frame for the input image to prevent the merging of contours of the
image. The updated image is displayed on the second tab of the program. In “Properties”
group there are two sliders that are responsible for increasing and decreasing the lower
and upper thresholds of the contour detector. The list below the sliders enlists the
available contour detectors. The "Run" button launches the selected detector and in the third
and fourth tabs of the central window, intermediate images appear, and in the fifth - the
final image with selected contours.
To compare the differences of the contours both subjective -with the visual quality
assessment of the received contour of the object (table 1), and quantitative - using the
PSNR-criterion [
          <xref ref-type="bibr" rid="ref43 ref44 ref45 ref46">43-46</xref>
          ] methods can be used.
        </p>
        <p>The following formula is used for evaluation while using the PSNR criterion
[4346]:
( ,  ) = 20</p>
        <p>255
√ 1 ∑ =1  (  ,,  )2
(4)
where N is the total number of pixels in each image; ni, mi - pixels of two images that
are being compared; d(ni, mi) is the difference between the colors of the corresponding
pixels. To do this, we used the image of the contour obtained from the noiseless one,
which was defined as ideal, and the image of the contours obtained by the above
detectors from the noisy ones. According to the criterion that the higher the PSNR value of
such contour images, the higher the quality of the detector.</p>
        <p>
          The results of PSNR criteria calculations using Matlab [
          <xref ref-type="bibr" rid="ref42">42</xref>
          ] according to formula 4
for each detector with original and blurred images are presented in table 2.
        </p>
        <p>Analysis of the results shows that the modified Canny’s method with comparison to
the other’s has shown for 2-19% better results by PSNR-criteria while selecting the
contours of the laser scribes in organic thin-film solar cells. It also satisfies such
conditions when there are no gaps in the contour.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusions</title>
      <p>In this paper, we have proposed the modified method of Canny’s contour segmentation
to detect the laser scribes contours in organic thin-film solar cells. It enabled to improve
the mechanism of defect recognition in the manufacturing of such panels. The
developed method is compared with others, namely with the Canny’s algorithm, the Sable’s
and Roberts’ operators. During case study, the modified method showed better results
for 2-19%, so its use is appropriate for this type of tasks.</p>
      <p>The future research will be dedicated by automated detection of various contours
defects - "distance too short", "scribe too wide", "no scribe", "scribe break".</p>
    </sec>
  </body>
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