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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Study of the Mass Center Motion of the Left Ventricle Area in Echocardiographic Videos</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Porshnev S.V.</string-name>
          <email>sergey_porshnev@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mukhtarov A.A.</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Bobkova A.O.</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zyuzin V.V.</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Bobkov V.V.</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ural Federal University named after First President of Russia B.N. Yeltsin</institution>
          ,
          <addr-line>Ekaterinburg, Russia, 620002, Ekaterinburg, Mira Str., 19</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ural State University of Economics and Ural Institute of Business</institution>
          ,
          <addr-line>Ekaterinburg, Russia, (620144, Ekaterinburg, 8 th of</addr-line>
        </aff>
      </contrib-group>
      <fpage>137</fpage>
      <lpage>142</lpage>
      <abstract>
        <p>The study of the mass center (CM) motion of the left ventricle (LV) area in echocardiographic videos is presented. CM of any phase of the cardiac cycle is inside an ellipse. An area of the ellipse is not more than 2% of the area of LV in systole. The criterion to identify correct and incorrect forms of contours are proposed for automatic contouring of LV in the frames of a video sequence.</p>
      </abstract>
      <kwd-group>
        <kwd>left ventricle</kwd>
        <kwd>contouring</kwd>
        <kwd>echocardiographic images (echocardiography)</kwd>
        <kwd>image processing</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Echocardiography is one of the most wide spread ways of not invasive heart
muscle deseases diagnosis, which most commonly uses ultrasound (US) images
of the apical four-chamber heart projection. Sequence analysis of ultrasound
images allows to analyze the dynamics of the heart muscle. Of particular interest
to cardiologists is left ventricle (LV), since most various diseases and pathologies
of the heart can change their state.</p>
      <p>To assess the state of the LV, cardiologist puts contour on each frame of
ultrasound sequence, which limits the region of the LV. As a rule, the
cardiologist makes it manually or by semiautomatic modes. Using the contouring, they
calculate the geometric dimensions of the LV (systolic and diastolic volumes),
ejection fraction, wall contractility, etc. The obtained quantitative indicators
provide reliable assessment of the heart muscle condition.</p>
      <p>Analysis of the experience of cardiac ultrasound shows that in most cases the
LV boundary is conducted subjectively and depends on the skill of the physician
who performs the processing of ultrasound images. In this context, the task of
developing algorithms for automated delineation of the LV on echocardiography
images, that eliminate the element of subjectivity and increase the processing
speed of ultrasound images of the heart, is relevant.</p>
      <p>In this article the results of the kinematics analysis of mass center on the
ultrasound images are discussed and the identification approach of inaccurate
LV contour built in automatic mode are submitted.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Statement of the Problem</title>
      <p>Let’s consider the features of contouring procedures LV on the ultrasound image.
Typical source frame of an ultrasound image is presented in figure 1. Figure 1
shows that the images are low-contrast. There is a variety of artifacts due to the
presence of the papillary muscle in the heart tissue. The figure 1 also presents the
expert LV contour. The expert had the right border of the LV, ignoring existing
artifact in the image.</p>
      <p>It should be noted that the presence of this artifact is critical for automatic
algorithm. This problem is illustrated in figure 2, the results of the automatic
delineation LV from the image are shown in figure 1.</p>
      <p>
        Consequently, the automatic contouring process should have a pre-treatment
procedure to remove speckle noise, artifacts and to enhance the contrast of
ultrasound images. These algorithms are considered in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Analysis of the
experience of their application shows that they really can improve the contrast
of the ultrasound images and in some cases remove artifacts. However, this can
be done not for every patient.
      </p>
      <p>
        Also the works [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] should be particularly noted. For LV wall motion of the
heart the optical flow algorithm [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] was used and analysis of LV shape changes
over time. Work [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] describes the isolation area of the LV on
echocardiography image. However, in these works the criteria to evaluate the correctness of
contouring are not given.
      </p>
      <p>Comparative analysis of the LV contour built by the expert and the contour
built in automatic mode (see. Fig. 2), allows us to conclude that the CM
coordinates of these contours are significantly different from each other. Thus, we
can assume that the CM coordinate values are an informative parameter. This
parameter allows to distinguish the contours of regular and irregular shapes
(Fig. 3).</p>
      <p>To test this hypothesis, the CM motion of expert contours was investigated.
The results are presented in the next section.</p>
    </sec>
    <sec id="sec-3">
      <title>The study of the CM LV motion.</title>
      <p>
        In the course of the research ultrasound records of 16 patients were used, the total
number of frames was 320. At each frame LV contours were built by experts.
Figure 4 shows the coordinates of the CM expert LV contours of the heart.
Figure 4 shows that the position of a CM is inside the minimal ellipse [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>Similar calculations were performed for the remaining patients. Next, for
each patient area of the respective ellipses was calculated. This area is compared
with the area of LV in systole. Calculated coefficients are presented in table 1.</p>
      <p>
        Table 1 shows that the ellipse area encompassing LV CM does not exceed 2%
of the left ventricular in systole. The results of similar calculations for contours
constructed automatically, some of which have an irregular shape, are presented
in table 1. (The automatic algorithm is considered in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]).The maximum value
of the ratio of the ellipse area, covered CM LV, to expert contour area in LV
systole is 51%. Thus, the position of the CM allow to automatically identify the
correct construction of the contour, using the following step:
1. Calculate the CM coordinates of the each video frame.
2. Construct a minimum ellipse which includes the CM of all contours.
3. Calculate the area of the ellipse.
4. Calculate the ratio of the areas of the ellipse to the area of LV in systole.
5. If the ratio is greater than 2% then apply the clustering procedure CM [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
6. Identify the contours of the irregular shape which CM are assigned to a
remote cluster.
      </p>
      <p>Figure 5 shows the CM arrangement examples in the case, where the shape
of one contour is incorrect. Figure 5 shows that CM for contours with regular
shape are grouped in a certain region, while the contours of irregular shape are
located at a remote distance from the grouping area.</p>
      <p>It should be noted that the errors of second type (the contour is wrong, but
CM belongs to the ellipse) were not found.</p>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>The CM for regular shape countours are grouped within the ellipse area. The
CM for irregular shape countours are located out of this area. Methods of points
clustering can solve this problem. An approach based on an analysis of the CM
LV contours location, allowing to identify the contours of an irregular shape,
is given in this work. The approach will be embeded in automatic algorithm of
contouring the LV area.</p>
    </sec>
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