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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.4" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ojapps</journal-id>
      <journal-title-group>
        <journal-title>Open Journal of Applied Sciences</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2165-3925</issn>
      <issn pub-type="ppub">2165-3917</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/ojapps.2026.162030</article-id>
      <article-id pub-id-type="publisher-id">ojapps-149360</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Biomedical</subject>
          <subject>Life Sciences</subject>
          <subject>Chemistry</subject>
          <subject>Materials Science</subject>
          <subject>Computer Science</subject>
          <subject>Communications</subject>
          <subject>Engineering</subject>
          <subject>Physics</subject>
          <subject>Mathematics</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Global Characterization of Solar Panels by Gabor Filters with a Texture Descriptor</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0009-0002-1964-6824</contrib-id>
          <name name-style="western">
            <surname>Bi</surname>
            <given-names>Théodore Guié Toa</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Tuo</surname>
            <given-names>Souleymane</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Vangah</surname>
            <given-names>Wognin Joseph</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Abalé</surname>
            <given-names>Charlotte</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Ouattara</surname>
            <given-names>Sié</given-names>
          </name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Clement</surname>
            <given-names>Alain</given-names>
          </name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> UFR Science and Technology, Département de Physique, University of Man, Man, Ivory Coast </aff>
      <aff id="aff2"><label>2</label> Unité de Recherche et d’expertise Numérique (UREN), Université Virtuelle de Côte d’Ivoire (UVCI), Abidjan, Côte d’Ivoire </aff>
      <aff id="aff3"><label>3</label> Institut National Polytechnique Houphouët Boigny (INPHB), Yamoussoukro, Côte d’Ivoire </aff>
      <aff id="aff4"><label>4</label> LARIS, SFR MATHSTIC, Université d’Angers, Angers, France </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>02</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <volume>16</volume>
      <issue>02</issue>
      <fpage>487</fpage>
      <lpage>498</lpage>
      <history>
        <date date-type="received">
          <day>06</day>
          <month>06</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>31</day>
          <month>01</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>03</day>
          <month>02</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/ojapps.2026.162030">https://doi.org/10.4236/ojapps.2026.162030</self-uri>
      <abstract>
        <p>Accurate characterization of solar panel materials is essential to optimize their performance, durability, and recyclability. Conventional methods such as X-ray fluorescence, infrared spectroscopy, and X-ray energy-dispersive spectroscopy (EDS) can identify the chemical elements present, but remain costly, complex, and sometimes limited for detailed spatial analysis or access to certain structural information. This work proposes an alternative approach based on texture analysis by Gabor filter applied to images of photovoltaic modules. This method allows to quickly identify and distinguish the different components of solar panels. The study consisted of applying the Gabor filter to images of crystalline silicon panels in order to identify the main materials present and to evaluate their spatial distribution. The results show that the measured distances are below the threshold of 0.056, indicating a strong similarity between the analyzed powders and known references. The elements Si, Ag, Cu, CaO, Na<sub>2</sub>O and SiO<sub>2</sub> were identified in the segmented regions, confirming the reliability of the textural approach for the analysis of photovoltaic materials. This method reduces analysis time and the need for specialized equipment, opening up prospects for better end-of-life management and optimization of photovoltaic panel recycling processes.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Solar Panels</kwd>
        <kwd>Characterization</kwd>
        <kwd>Gabor Filter</kwd>
        <kwd>Texture Analysis</kwd>
        <kwd>Recycling</kwd>
        <kwd>Photovoltaic Materials</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Characterizing the materials used in solar panel manufacturing is a crucial step in assessing their performance, durability, and recycling potential. For several years, physical and physicochemical methods such as X-ray fluorescence, infrared spectroscopy, and X-ray energy dispersive spectroscopy have been widely used for this purpose [<xref ref-type="bibr" rid="B1">1</xref>]. These techniques make it possible to identify the chemical constituents of photovoltaic cells, such as silicon, silver, copper, and molybdenum, with high accuracy. They are also used to analyze the composition of the glass covering the modules, identifying oxides such as SiO<sub>2</sub>, Na<sub>2</sub>O, CaO, and other elements present in the glass matrix [<xref ref-type="bibr" rid="B2">2</xref>]. However, despite their effectiveness, these methods have several limitations. They require expensive equipment, often involve complex preparation protocols, and require advanced technical skills, which limits their accessibility, especially in developing countries [<xref ref-type="bibr" rid="B3">3</xref>]. In addition, they are sometimes unable to detect internal irregularities or manufacturing defects in solar cells, especially when analyzing composite or old materials. Faced with these constraints, methods based on image analysis, and more specifically on texture analysis, appear as promising alternatives. Among them, the Gabor filter has distinguished itself by its ability to extract rich spatial and frequency information, by imitating the perception mechanisms of the human visual system [<xref ref-type="bibr" rid="B4">4</xref>]. This filter allows the analysis of structures at different scales and orientations, making it an ideal tool for the examination of complex surfaces such as those of powders from photovoltaic modules. In this context, our work proposes to use the Gabor filter, in association with a texture descriptor based on data from the main information components, to perform a global characterization of solar panels. This approach aims to overcome the limitations of conventional methods, while reducing costs, analysis times and technical requirements.</p>
      <p>This work is structured in three stages. We will first present the methodology adopted, the tools used as well as the stages of image analysis integrating the minerals to be identified. The next stage is devoted to the presentation of the experimental results, followed by discussions on the contributions and limitations of the identification method implemented.</p>
    </sec>
    <sec id="sec2">
      <title>2. Materials and Methods</title>
      <sec id="sec2dot1">
        <title>2.1. Materials</title>
        <p>2.1.1. Technical Materials</p>
        <p>For this study, we used a Solar Africa polycrystalline solar panel with the following electrical characteristics:</p>
        <p>1) Maximum power (Pm): 35 W;</p>
        <p>2) Maximum voltage (Vmp): 17.6 V;</p>
        <p>3) Maximum current (Imp): 2 A;</p>
        <p>4) Open-circuit voltage (Voc): 21 V;</p>
        <p>5) Short-circuit current (Isc): 2.24 A.</p>
        <p>This panel was recovered from the Ancienkan neighborhood, located in the PALMCI village, near Divo, a city in the center-west of Côte d’Ivoire. <xref ref-type="fig" rid="fig1">Figure 1</xref> below shows the polycrystalline solar panel studied in our study.</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId15.jpeg?20260302043126" />
        </fig>
        <p><bold>Figure 1.</bold> Photograph of the polycrystalline solar.</p>
        <p>2.1.2. Experimental Device</p>
        <p><xref ref-type="fig" rid="fig2">Figure 2</xref> shows the sieve used to sift the glass crystals and the VWR brand electronic balance shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> allowed us to make the different weighing of each quantity of powder of the panel components.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId16.jpeg?20260302043127" />
        </fig>
        <p><bold>Figure 2.</bold>Sieve.</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId17.jpeg?20260302043127" />
        </fig>
        <p><bold>Figure 3.</bold>Electronic balance.</p>
        <p>The glass crystal and filament samples were ground using a Retsch 200 mill (<xref ref-type="fig" rid="fig4">Figure 4</xref>) in manual mode, with a speed of 1100 rpm for 2 minutes and 40 seconds. These parameters were optimized to obtain a homogeneous powder while limiting mechanical heating and contamination, thus preserving the structural and chemical integrity of the materials.</p>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId18.jpeg?20260302043127" />
        </fig>
        <p><bold>Figure 4.</bold> Ritsch 200 Mill.</p>
        <p>Image acquisition was performed using a smartphone equipped with a 26 mm wide-angle lens with an f/1.6 aperture. The 12-megapixel sensor with 1.4 µm pixels provides high-quality images, and autofocus enables sharp digital images.</p>
        <p>MATLAB R2022a software, released on March 9, 2022, was used for data processing and visualization.</p>
      </sec>
      <sec id="sec2dot2">
        <title>2.2. Methods</title>
        <p>2.2.1. Solar Panel Disassembly</p>
        <p>To disassemble the solar panel, a hammer was first used to gently break the glass into small fragments, facilitating its removal. The filaments were then manually extracted and cut into smaller sections using chisels for grinding [<xref ref-type="bibr" rid="B5">5</xref>].</p>
        <p>2.2.2. Preparation of the PV Glass and Filament Powder</p>
        <p>15 g of glass and filament were collected for powder processing. The glass and filament were ground separately using an electric grinder, reducing each material to fine, homogeneous particles. Before grinding, the resulting particles were sieved through a screen to separate the different particle sizes. <xref ref-type="fig" rid="fig5">Figure 5</xref> shows the glass and filament powders of the solar panel.</p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId19.jpeg?20260302043128" />
        </fig>
        <p><bold>Figure 5.</bold> Glass crystals (A); Crushed glass powder (B); PV filament (C); Crushed filament powder (D).</p>
        <p>2.2.3. Gabor Filter</p>
        <p>In the analysis of the textures of glass and filament powders, the application of the Gabor filter made it possible to extract local characteristics related to frequency and orientation [<xref ref-type="bibr" rid="B6">6</xref>]. For this, we used a wavelength fixed at 4, which allows capturing fine details, as well as a maximum orientation of 90˚, corresponding to the detection of vertically oriented patterns in the image [7]. This approach allowed us to obtain, for each material (glass and filament), two images resulting from the transformation: the magnitude image, which highlights the areas with a strong textural response, and the phase image, which provides information on the fine structure and organization of the patterns [<xref ref-type="bibr" rid="B8">8</xref>].</p>
        <p>If we have an image <inline-formula><mml:math display="inline"><mml:mrow><mml:mi> I </mml:mi><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mi> x </mml:mi><mml:mo> , </mml:mo><mml:mi> y </mml:mi></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> of dimension M × N pixels, its discrete Gabor wavelet transform is obtained by convolution with m orientations and n frequencies [<xref ref-type="bibr" rid="B9">9</xref>],</p>
        <disp-formula id="FD1">
          <mml:math display="inline">
            <mml:mrow>
              <mml:msub>
                <mml:mi>G</mml:mi>
                <mml:mrow>
                  <mml:mi>m</mml:mi>
                  <mml:mo>,</mml:mo>
                  <mml:mi>n</mml:mi>
                </mml:mrow>
              </mml:msub>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mi>m</mml:mi>
                  <mml:mo>,</mml:mo>
                  <mml:mi>n</mml:mi>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mstyle displaystyle="true">
                <mml:munder>
                  <mml:mo>∑</mml:mo>
                  <mml:mi>s</mml:mi>
                </mml:munder>
                <mml:mrow>
                  <mml:mstyle displaystyle="true">
                    <mml:munder>
                      <mml:mo>∑</mml:mo>
                      <mml:mi>t</mml:mi>
                    </mml:munder>
                    <mml:mrow>
                      <mml:mi>I</mml:mi>
                      <mml:mrow>
                        <mml:mo>(</mml:mo>
                        <mml:mrow>
                          <mml:mi>x</mml:mi>
                          <mml:mo>−</mml:mo>
                          <mml:mi>s</mml:mi>
                          <mml:mo>,</mml:mo>
                          <mml:mi>y</mml:mi>
                          <mml:mo>−</mml:mo>
                          <mml:mi>t</mml:mi>
                        </mml:mrow>
                        <mml:mo>)</mml:mo>
                      </mml:mrow>
                      <mml:msup>
                        <mml:mi>ψ</mml:mi>
                        <mml:mo>*</mml:mo>
                      </mml:msup>
                      <mml:msub>
                        <mml:mrow>
                        </mml:mrow>
                        <mml:mrow>
                          <mml:mi>m</mml:mi>
                          <mml:mo>,</mml:mo>
                          <mml:mi>n</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                    </mml:mrow>
                  </mml:mstyle>
                </mml:mrow>
              </mml:mstyle>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mi>s</mml:mi>
                  <mml:mo>,</mml:mo>
                  <mml:mi>t</mml:mi>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi> G </mml:mi><mml:mrow><mml:mi> m </mml:mi><mml:mi> n </mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mi> x </mml:mi><mml:mo> , </mml:mo><mml:mi> y </mml:mi></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> is the Gabor wavelet transform, s, t are summation variables<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi> ψ </mml:mi><mml:mo> * </mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the conjugate of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi> Ψ </mml:mi><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mi> x </mml:mi><mml:mo> , </mml:mo><mml:mi> y </mml:mi></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> such that:</p>
        <disp-formula id="FD2">
          <mml:math display="inline">
            <mml:mrow>
              <mml:mi>Ψ</mml:mi>
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              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
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                  <mml:mi>π</mml:mi>
                  <mml:msub>
                    <mml:mi>σ</mml:mi>
                    <mml:mi>x</mml:mi>
                  </mml:msub>
                  <mml:msub>
                    <mml:mi>σ</mml:mi>
                    <mml:mi>y</mml:mi>
                  </mml:msub>
                </mml:mrow>
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              <mml:mi>exp</mml:mi>
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                            <mml:mi>y</mml:mi>
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                    </mml:mrow>
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                  </mml:mrow>
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                  <mml:mi>j</mml:mi>
                  <mml:mn>2</mml:mn>
                  <mml:mi>π</mml:mi>
                  <mml:mo>.</mml:mo>
                  <mml:mi>f</mml:mi>
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                <mml:mo>]</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>Where <inline-formula><mml:math display="inline"><mml:mrow><mml:mi> Ψ </mml:mi><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mi> x </mml:mi><mml:mo> , </mml:mo><mml:mi> y </mml:mi></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> represents the 2D Gabor function <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi> σ </mml:mi><mml:mi> x </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi> σ </mml:mi><mml:mi> y </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the standard deviations along the x and y axes, respectively <inline-formula><mml:math display="inline"><mml:mi> ƒ </mml:mi></mml:math></inline-formula> is the spatial frequency of the Gabor filter.</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Results and Discussions</title>
      <sec id="sec3dot1">
        <title>3.1. Analysis of Control and PV Powders</title>
        <p>The analysis of the control powder table (Ag, Cu, Si, CaO, Na<sub>2</sub>O, SiO<sub>2</sub>) was performed using the Gabor filter applied to the obtained images (<xref ref-type="fig" rid="fig6">Figure 6(A)</xref> and <xref ref-type="fig" rid="fig6">Figure 6(B)</xref>). This approach made it possible to extract textural characteristics at two levels: magnitude, which provides information on the intensity of the detected structures, and phase, which highlights the orientation and continuity of the patterns. The use of these two components makes it possible to identify, for each material, a textural characteristic, useful for differentiating and identifying constituents in complex mixtures.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId40.jpeg?20260302043129" />
        </fig>
        <p><bold>Figure 6.</bold> Filament witness powders (A); Glass witness powders (B).</p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Segmentation of the Different Powders</title>
        <p>3.2.1. Segmentation of the Magnitudes of the Different Witness Powders and the PV</p>
        <p>The segmentation was performed on the magnitude, considering areas with comparable textural intensity levels. For each segmented region, a set of parameters was extracted (at, bt, ct, dt, E, S) [<xref ref-type="bibr" rid="B11">11</xref>]. The results of this segmentation are presented in <xref ref-type="fig" rid="fig7">Figure 7</xref><bold>.</bold></p>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId41.jpeg?20260302043130" />
        </fig>
        <p><bold>Figure 7.</bold> Segmentation of the magnitudes of the control powders (A) and (B); Segmentation of the magnitudes of the glass powders (C); Segmentation of the magnitudes of filament powders (D).</p>
        <p>3.2.2. Segmentation of the Phases of the Different Witness Powders and the PV</p>
        <p>Following the magnitude-based analysis, regional segmentation was also applied to the images from the Gabor filter phase, in order to better characterize the spatial and directional organization of the structures present in the control and photovoltaic powders [<xref ref-type="bibr" rid="B12">12</xref>]. <xref ref-type="fig" rid="fig8">Figure 8</xref> illustrates the segmentations performed on the control powders and the PV glass and filament powders.</p>
        <fig id="fig8">
          <label>Figure 8</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId42.jpeg?20260302043131" />
        </fig>
        <p><bold>Figure 8.</bold> Phase segmentation of the filament (A) and glass (B) powders, Phase segmentation of the filament (C) and glass (D) powders.</p>
      </sec>
      <sec id="sec3dot3">
        <title>3.3. Presentation of Characteristic Parameter Values after Segmentation</title>
        <p>3.3.1. Characteristic Values Extracted from Magnitudes and Phases</p>
        <p><bold>Tables 1-3</bold> and <bold>Table 4</bold> group, respectively, the parameter values (at, bt, ct, dt, E, and S) of the magnitudes of the control glass and filament, the parameter values of the magnitudes of the PV glass and filament, the parameter values of the phases of the control glass and filament, and finally the parameter values of the phases of the PV glass and filament.</p>
        <p><bold>Table 1.</bold> Values of magnitude parameters.</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td>Glass and Filament Mag (Witness))</td>
                <td>CaO</td>
                <td>
                  Na
                  <sub>2</sub>
                  O
                </td>
                <td>
                  SiO
                  <sub>2</sub>
                </td>
                <td>Cu</td>
                <td>Ag</td>
                <td>Si</td>
              </tr>
              <tr>
                <td>at</td>
                <td>42.8746</td>
                <td>48.4314</td>
                <td>23.8113</td>
                <td>24.9658</td>
                <td>26.00</td>
                <td>16.2771</td>
              </tr>
              <tr>
                <td>bt</td>
                <td>0.6318</td>
                <td>0.3271</td>
                <td>0.4494</td>
                <td>0.5778</td>
                <td>0.4614</td>
                <td>0.7043</td>
              </tr>
              <tr>
                <td>et</td>
                <td>4.4554</td>
                <td>23.1475</td>
                <td>9.3894</td>
                <td>88.9761</td>
                <td>3.5475</td>
                <td>8.3523</td>
              </tr>
              <tr>
                <td>S</td>
                <td>23.2127</td>
                <td>20.0751</td>
                <td>11.6776</td>
                <td>17.4237</td>
                <td>25.1772</td>
                <td>14.8689</td>
              </tr>
              <tr>
                <td>E</td>
                <td>6.3757</td>
                <td>6.0487</td>
                <td>5.1364</td>
                <td>5.7434</td>
                <td>6.6637</td>
                <td>5.4539</td>
              </tr>
              <tr>
                <td>ct</td>
                <td>356.038</td>
                <td>289.393</td>
                <td>468.9452</td>
                <td>436.2436</td>
                <td>285.0455</td>
                <td>327.186</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 2.</bold> Parameters of the magnitudes of the PV powders.</p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td>Glass and PVFilament Mag</td>
                <td>
                  R’
                  <sub>V1</sub>
                </td>
                <td>
                  R’
                  <sub>V2</sub>
                </td>
                <td>
                  R’
                  <sub>V3</sub>
                </td>
                <td>
                  R
                  <sub>F1</sub>
                </td>
                <td>
                  R
                  <sub>F2</sub>
                </td>
                <td>
                  R
                  <sub>F3</sub>
                </td>
              </tr>
              <tr>
                <td>at</td>
                <td>45.5589</td>
                <td>42.415</td>
                <td>23.6412</td>
                <td>15.9527</td>
                <td>24.7174</td>
                <td>26.1691</td>
              </tr>
              <tr>
                <td>bt</td>
                <td>0.3162</td>
                <td>0.6289</td>
                <td>0.4002</td>
                <td>0.7033</td>
                <td>0.5665</td>
                <td>0.4521</td>
              </tr>
              <tr>
                <td>et</td>
                <td>17.0889</td>
                <td>5.8852</td>
                <td>10.9592</td>
                <td>7.6667</td>
                <td>83.8205</td>
                <td>3.662</td>
              </tr>
              <tr>
                <td>S</td>
                <td>26.7244</td>
                <td>22.2599</td>
                <td>12.5591</td>
                <td>13.625</td>
                <td>17.1222</td>
                <td>21.6271</td>
              </tr>
              <tr>
                <td>E</td>
                <td>6.1268</td>
                <td>6.2129</td>
                <td>5.9053</td>
                <td>5.3169</td>
                <td>5.7</td>
                <td>6.3432</td>
              </tr>
              <tr>
                <td>ct</td>
                <td>300.8554</td>
                <td>359.6189</td>
                <td>493.7983</td>
                <td>327.856</td>
                <td>437.4429</td>
                <td>285.4401</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 3.</bold> Phase parameter data of control samples.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <table>
            <tbody>
              <tr>
                <td>Glass and filamentphase (Witness)</td>
                <td>CaO</td>
                <td>
                  Na
                  <sub>2</sub>
                  O
                </td>
                <td>
                  SiO
                  <sub>2</sub>
                </td>
                <td>Cu</td>
                <td>Ag</td>
                <td>Si</td>
              </tr>
              <tr>
                <td>at</td>
                <td>125.3464</td>
                <td>128.2482</td>
                <td>126.3348</td>
                <td>132.5334</td>
                <td>123.8497</td>
                <td>128.3626</td>
              </tr>
              <tr>
                <td>bt</td>
                <td>0.4654</td>
                <td>0.7166</td>
                <td>0.6148</td>
                <td>0.3941</td>
                <td>0.7365</td>
                <td>0.5367</td>
              </tr>
              <tr>
                <td>et</td>
                <td>9.6827</td>
                <td>3.4451</td>
                <td>4.9791</td>
                <td>1.5581</td>
                <td>3.5475</td>
                <td>2.0684</td>
              </tr>
              <tr>
                <td>S</td>
                <td>54.2815</td>
                <td>59.5657</td>
                <td>58.2266</td>
                <td>70.3802</td>
                <td>69.4064</td>
                <td>69.243</td>
              </tr>
              <tr>
                <td>E</td>
                <td>7.3235</td>
                <td>7.5449</td>
                <td>7.5302</td>
                <td>7.6211</td>
                <td>7.4495</td>
                <td>7.8146</td>
              </tr>
              <tr>
                <td>ct</td>
                <td>345.5958</td>
                <td>439.6475</td>
                <td>206.9962</td>
                <td>532.1771</td>
                <td>452.1494</td>
                <td>419.7774</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 4.</bold> PV phase parameter data.</p>
        <table-wrap id="tbl4">
          <label>Table 4</label>
          <table>
            <tbody>
              <tr>
                <td>Glass phase and PV filament</td>
                <td>
                  R
                  <sub>V1</sub>
                </td>
                <td>
                  R
                  <sub>V2</sub>
                </td>
                <td>
                  R
                  <sub>V3</sub>
                </td>
                <td>
                  R’
                  <sub>F1</sub>
                </td>
                <td>
                  R’
                  <sub>F2</sub>
                </td>
                <td>
                  R’
                  <sub>F3</sub>
                </td>
              </tr>
              <tr>
                <td>at</td>
                <td>125.4261</td>
                <td>126.4031</td>
                <td>128.0255</td>
                <td>128.021</td>
                <td>122.4519</td>
                <td>131.9045</td>
              </tr>
              <tr>
                <td>bt</td>
                <td>0.4421</td>
                <td>0.6672</td>
                <td>0.7711</td>
                <td>0.5388</td>
                <td>0.6749</td>
                <td>0.3292</td>
              </tr>
              <tr>
                <td>et</td>
                <td>8.8553</td>
                <td>3.3786</td>
                <td>3.85</td>
                <td>2.7872</td>
                <td>3.5792</td>
                <td>1.2211</td>
              </tr>
              <tr>
                <td>S</td>
                <td>52.7259</td>
                <td>58.547</td>
                <td>60.3977</td>
                <td>69.2092</td>
                <td>68.2759</td>
                <td>70.3796</td>
              </tr>
              <tr>
                <td>E</td>
                <td>7.4592</td>
                <td>7.5249</td>
                <td>7.5305</td>
                <td>7.7965</td>
                <td>7.3566</td>
                <td>7.5532</td>
              </tr>
              <tr>
                <td>ct</td>
                <td>331.9599</td>
                <td>236.6931</td>
                <td>402.81</td>
                <td>416.6037</td>
                <td>424.3883</td>
                <td>529.4692</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>These different values made it possible to construct histograms in <xref ref-type="fig" rid="fig9">Figure 9</xref> which give the distribution of parameter values according to the components (CaO, Na<sub>2</sub>O, SiO<sub>2</sub>, Cu, etc.) of the solar panel.</p>
        <fig id="fig9">
          <label>Figure 9</label>
          <graphic xlink:href="https://html.scirp.org/file/2313213-rId43.jpeg?20260302043131" />
        </fig>
        <p><bold>Figure 9</bold><bold>.</bold> Magnitude and phase histograms of witnesses and PV (Filament and Glass).</p>
        <p>The phase and magnitude histograms show, for each region analyzed (RV1, RV2, RV3, RF1, RF2, RF3), the distribution of textural parameters (at, bt, et, S, E, ct). By comparing the profiles of the regions from the panel (glass and filament) with those of the controls, the chemical elements present in each region can be identified [<xref ref-type="bibr" rid="B13">13</xref>].</p>
        <p>Analysis of the magnitude histograms confirms the trends observed with the phase. The R’V1, R’V2, and R’V3 regions respectively show a strong presence of Na<sub>2</sub>O, CaO, and SiO<sub>2</sub>, while the RF1, RF2, and RF3 zones are characterized by the dominant presence of Si, Cu, and Ag. Although the ct bar is predominant, the relative distribution of the other components (at, S, E, etc.) allows for the identification of the elements present in each region and the elimination of the presence of certain elements in the segmented region.</p>
        <p>3.3.2. Ore Identification by Euclidean Distance</p>
        <p>We used the normalized Euclidean distance to calculate the distance between the characteristic vectors of the components (ores). It is calculated using the following formula:</p>
        <disp-formula id="FD3">
          <mml:math display="inline">
            <mml:mrow>
              <mml:msub>
                <mml:mi>d</mml:mi>
                <mml:mrow>
                  <mml:mi>n</mml:mi>
                  <mml:mi>o</mml:mi>
                  <mml:mi>r</mml:mi>
                  <mml:mi>m</mml:mi>
                </mml:mrow>
              </mml:msub>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>R</mml:mi>
                    <mml:mi>i</mml:mi>
                  </mml:msub>
                  <mml:mo>,</mml:mo>
                  <mml:mi>T</mml:mi>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:msqrt>
                <mml:mrow>
                  <mml:mfrac>
                    <mml:mrow>
                      <mml:mstyle displaystyle="true">
                        <mml:mo>∑</mml:mo>
                        <mml:mrow>
                          <mml:mrow>
                            <mml:mo>(</mml:mo>
                            <mml:mrow>
                              <mml:msub>
                                <mml:mi>a</mml:mi>
                                <mml:mi>i</mml:mi>
                              </mml:msub>
                              <mml:mo>−</mml:mo>
                              <mml:msub>
                                <mml:mi>b</mml:mi>
                                <mml:mi>i</mml:mi>
                              </mml:msub>
                            </mml:mrow>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:mrow>
                      </mml:mstyle>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>σ</mml:mi>
                        <mml:mi>i</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                  </mml:mfrac>
                </mml:mrow>
              </mml:msqrt>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>Normalized Euclidean distance values were calculated to assess the magnitude variations between the control powders (glass and filament) and those from the photovoltaic panels. <bold>Table 5</bold> and <bold>Table 6</bold> present these distances, thus showing the similarity between the vectors of the different regions analyzed.</p>
        <p><bold>Table 5.</bold> Normalized Euclidean distances for the magnitude of control powders and PV powders.</p>
        <table-wrap id="tbl5">
          <label>Table 5</label>
          <table>
            <tbody>
              <tr>
                <td>Vectors</td>
                <td>
                  (V
                  <sub>R’V1</sub>
                  ;V
                  <sub>Na2O</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>R’V2</sub>
                  ;V
                  <sub>CaO</sub>
                  )
                </td>
                <td>
                  V
                  <sub>R’V3</sub>
                  ;V
                  <sub>SiO2</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F1</sub>
                  ;V
                  <sub>Si</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F2</sub>
                  ;V
                  <sub>Cu</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F3</sub>
                  ;V
                  <sub>Ag</sub>
                  )
                </td>
              </tr>
              <tr>
                <td>
                  d
                  <sub>norm</sub>
                </td>
                <td>0.0281</td>
                <td>0.0209</td>
                <td>0.0158</td>
                <td>0.0032</td>
                <td>0.0055</td>
                <td>0.0047</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 6.</bold> Normalized Euclidean distances for the phase of control powders and PV powders.</p>
        <table-wrap id="tbl6">
          <label>Table 6</label>
          <table>
            <tbody>
              <tr>
                <td>Vectors</td>
                <td>
                  (V
                  <sub>RV1</sub>
                  ;V
                  <sub>CaO</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>RV2</sub>
                  ;V
                  <sub>SiO2</sub>
                  )
                </td>
                <td>
                  V
                  <sub>RV3</sub>
                  ;V
                  <sub>Na2O</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F’1</sub>
                  ;V
                  <sub>Si</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F’2</sub>
                  ;V
                  <sub>Ag</sub>
                  )
                </td>
                <td>
                  (V
                  <sub>F</sub>
                  <sub>’</sub>
                  <sub>3</sub>
                  ;V
                  <sub>Cu</sub>
                  )
                </td>
              </tr>
              <tr>
                <td>
                  d
                  <sub>norm</sub>
                </td>
                <td>0.0086</td>
                <td>0.0073</td>
                <td>0.0124</td>
                <td>0.0041</td>
                <td>0.0068</td>
                <td>0.0109</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The distances are very small, ranging from 0.0032 to 0.0281 for magnitude, and from 0.0041 to 0.0124 for phase. These values are well below the threshold of 0.05 commonly used in the scientific literature to indicate a high similarity between two samples [<xref ref-type="bibr" rid="B14">14</xref>][<xref ref-type="bibr" rid="B15">15</xref>]. This indicates that the powders from the photovoltaic panel have a chemical composition very close to that of the control powders. The magnitude analysis highlighted that some segmented regions of the image, such as R’V1, R’V2 and R’V3, are strongly correlated with the spectral signatures of Na<sub>2</sub>O, CaO and SiO<sub>2</sub>. Other regions, such as RF1, RF2 and RF3, show similarity with the reference powders containing Si, Cu and Ag. For the phase, the regions RV1, RV2 and RV3 also show very close profiles of CaO, SiO<sub>2</sub> and Na<sub>2</sub>O. These results show that the Gabor filter, applied to powder images, not only allows textures to be differentiated, but also allows the chemical signatures characteristic of the elements present to be identified. A comparative analysis with classical chemical methods, such as infrared spectroscopy and X-ray fluorescence, was carried out to validate these results. The studies of [<xref ref-type="bibr" rid="B16">16</xref>] and [<xref ref-type="bibr" rid="B17">17</xref>] all identified the same elements in polycrystalline photovoltaic panels as those detected in our study (Si, Ag, Cu, CaO, Na<sub>2</sub>O, SiO<sub>2</sub>). These comparisons reinforce the reliability of the results obtained with our image analysis method. Moreover, these results are consistent with those of [<xref ref-type="bibr" rid="B18">18</xref>][<xref ref-type="bibr" rid="B19">19</xref>], who also used techniques based on texture analysis and Euclidean distances to identify chemical elements in materials. This methodological convergence shows that our approach is robust and can be used effectively in the characterization of photovoltaic materials. However, it is important to highlight some limitations of our method. Indeed, elements such as lead and tin, identified by [<xref ref-type="bibr" rid="B20">20</xref>] in photovoltaic panels using conventional chemical methods (EDS and atomic absorption spectroscopy), could not be detected in our study. This is explained by the fact that these elements were not part of the control powders selected for comparison, and that image segmentation does not always allow distinguishing all the components present in a complex sample.</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Conclusion and Outlook</title>
      <p>In this study, we were able to extract relevant parameters such as magnitude and phase from the Gabor parameters and filters, which proved essential for comparing the control powders with those from the panels. The small differences observed between the samples, with values systematically below the 0.05 threshold, indicated a strong similarity between the analyzed powders. These results show that the recovered powders contain components very similar to those of the reference powders, including elements such as Na<sub>2</sub>O, CaO, SiO<sub>2</sub>, Si, Cu, and Ag. This method makes it possible to accurately identify the different components of a powder when control powders are available for comparison. Furthermore, the results obtained are consistent with those of conventional analytical methods such as infrared (IR) spectroscopy and X-ray fluorescence (XRF), which reinforces the reliability of our approach. This study presents a very simple, rapid and less expensive alternative method for the identification of the components (recyclable minerals) of a polycrystalline solar panel.</p>
      <p>Looking ahead, it will be interesting to expand the database of control powders by including elements not detected in this study (lead, tin, molybdenum, etc.) for a more in-depth characterization of the components of photovoltaic panels. We will also be able to couple Gabor filter analysis with advanced chemical techniques (EDS spectrometry, X-ray fluorescence, Raman spectroscopy) to validate and refine the results obtained.</p>
    </sec>
  </body>
  <back>
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