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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>System GRANICS for Particle-Size Distribution Determination by Photoanalysis</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexey G. Gruh AO “Evraz KGOK” Kachkanar</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Russia</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Artem V. Kruglov Ural Federal University Yekaterinburg</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Vasiliy N. Kruglov Ural Federal University Yekaterinburg</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2017</year>
      </pub-date>
      <fpage>96</fpage>
      <lpage>101</lpage>
      <abstract>
        <p>The system for determining the grain-size distribution of bulk material particles is described by the example of estimating the dimensions of crushed pieces of iron ore. The stages of the algorithm for processing of iron-ore particle images are illustrated. The results of full-scale testing of the system at the mining and processing plant are analyzed.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>Materials and methods</title>
      <p>Using the video capturing sensor (VCS), the original image of the crushed ore particles lying on the conveyor belt is
captured (Fig. 2).
 </p>
      <p>The algorithm for determining the dimensions of bulk particles is as follows. At the first stage, the original image
F (i, j) is processed by a median filter. The aperture of the median filter W (i, j) is a square matrix of size 3x3.
Traditionally, the filter response is calculated as:</p>
      <p>MED[W (i, j)]  MED[{ f (i  k, j  l)}; k,l  1,1]  </p>
      <p>The nature of the impulse distortions on the resulting video images is in the form of "pepper" with an area of not more
than 3 pixels. Given this fact, a sliding hybrid median filtering is used, which is as follows.</p>
      <p>W (i, j)  {clm(i, j  1), clm(i, j), clm(i, j  1)},    
where  clm(i, j)  { f (i  k, j), k  1,1}  
Then the response of the sliding hybrid median filter will be calculated according to the formula
When shifting  W (i, j)  by one position, we get</p>
      <p>HMED[W (i, j)]  MED[MED[clm(i, j  1)], MED[clm(i, j)], MED[clm(i, j  1)]]   </p>
      <p>HMED[W (i, j  1)]  MED[MED[clm(i, j)], MED[clm(i, j  1)], MED[clm(i, j  2)]]   </p>
      <p>
        It can be seen from (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) and (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) that with  W (i, j)  of 3x3 size, the number of sorting operations is clearly reduced by 2
times. The resulting image is subjected to smoothing filtering using a 17x17 square mask consisting of unit elements. The
next stage is borders emphasizing which can be implemented by a nonlinear method of detecting the differences, based on
the homomorphic image processing proposed by Wallis [10]. According to this method, the element of the contrasted image
is defined as
      </p>
      <p>G( j, k ) 
As a result of these transformations, a contour image of the visible layer of crushed ore pieces  F c (i, j)  is obtained
(Figure 3), which is the aggregate of M disjoint regions</p>
      <p>M
F c (i, j)   Sk . 
k 1
 
 </p>
      <p> </p>
      <p>It is noted in [9] that one of the main features that allow us to classify an isolated region  Sk  as a particle of crushed ore
is a sign of roundness calculated by formula</p>
      <p>L
 (dik  avg(dik ))2
Rk  i1</p>
      <p>L
 
 
where  dik  (xik  C k )2  ( yik  C k )2  is a distance from each boundary point  (xik , yik ),i  1, L  of the region  Sk  to
x y
its center (Cxk ,Cyk )  (mean(xmk ), mean( ymk )),{xmk , ymk} Sk , </p>
      <p>L dik
and  avg (dik )  i1  </p>
      <p>L</p>
      <p>
        The segmentation procedure is implemented as follows. For each  Sk , k  1, M   Rk  is calculated. If  Rk &lt;THRESHOLD,
it is classified as an image of crushed ore particles. If  Rk  &gt; = THRESHOLD, then the selected fragment of the image is
subdivided into the subdomains by the "watershed" algorithm [11,12]. In Fig. 4 the results of this algorithm is shown.
 
 
 
 
 
 
(
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
      </p>
      <p>
        At the next stage, for each selected area, its main axis is calculated, the length of which  E2a   is determined by the
formula
 
 
 
 
 
 
(
        <xref ref-type="bibr" rid="ref8">8</xref>
        )
(
        <xref ref-type="bibr" rid="ref9">9</xref>
        )
E2a 
where p is the perimeter of the selected area, and A is its area in pixels. In Fig. 5 main axes are represented by black
lines. In the crosswise direction the maximum width E2b  of the ore particle region is determined, the value of which is
calculated in this way
      </p>
      <p>In Fig. 5 lines corresponding to the maximum width of the ore particle region are drawn in white. These axes will
characterize the dimensions of bulk material pieces.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Testing and Results</title>
      <p>Industrial tests of the GRANICS complex were carried out, in particular, at the Erdenet Mining Corporation, Mongolia.
According to the program of industrial tests, the central research laboratory of the plant (CRL) sampled the ore after fine
crushing from the conveyor No. 18 in order to determine the condition and nominal grain-size, with parallel fixation of the
same parameters of the crushed ore according to the GRANICS output. The grain-size distribution of the ore is shown in
Tables 1 and 2.</p>
      <p>To perform a comparative analysis of the obtained data, the results of determining the nominal grain-size of the crushed
ore and the content of the "+15 mm" grain-size class are presented in Table 3.</p>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>System GRANICS and CRL have different principles of evaluation of the same technological process. However, the above
results show that the relative error of the GRANICS complex in determining of the nominal grain-size of the crushed ore
was only 3.01% compared to the CRL, and in the evaluation of the controlled class "+ 15mm" the error is 5.48%.</p>
      <p>Thus, the performed industrial tests illustrate that the complex accurately determines the grain-size distribution of the
crushed particles.</p>
    </sec>
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