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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Geometric Analysis of Pathological Changes in Lungs Using CT Images for COVID-19 Diagnosis*</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Federal Siberian Scientific and Clinical Center FMBA of Russia</institution>
          ,
          <addr-line>24 Kolomenskaya st., 660037, Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Computational Modelling of the Siberian Branch of the Russian Academy of Sciences</institution>
          ,
          <addr-line>50/44 Akademgorodok, Krasnoyarsk 660036</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Reshetnev Siberian State University of Science and Technology</institution>
          ,
          <addr-line>31 Krasnoyarsky Rabochy pr., 660037, Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Siberian Federal University</institution>
          ,
          <addr-line>79 Svobodny st., Krasnoyarsk 660041</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>The study is devoted to the analysis of dynamic changes in computer tomography (CT) images of lungs, with the presence of changes associated with COVID-19 in patients with the data confirmed by laboratory diagnostics. The assessment is carried out using the developed computational tools for visualizing pathological changes in lungs. For these purposes it is proposed to use algorithms for noise reduction, contrast enhancement, segmentation and spectral decomposition (shearlet transform). On this computational basis, we propose a methodology for geometric (texture) analysis for highlighting and contrasting local objects of interest, taking into account color coding. The results of the experimental study show that the developed computational technique is an effective tool for visualizing and analyzing the variability of the geometric (texture) features of the studied images, as well as for the dynamic analysis in time and prediction of possible outcomes.</p>
      </abstract>
      <kwd-group>
        <kwd>CT Image</kwd>
        <kwd>Lung Pathologies from COVID-19</kwd>
        <kwd>Follow-up Observations</kwd>
        <kwd>Prediction of Outcomes</kwd>
        <kwd>Geometric Image Analysis</kwd>
        <kwd>Color-coded Contrast</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Computed tomography of the chest cavity organs is widely used, being a routine
research method both for detecting and confirming the pathological changes
suspected on a radiograph and the primary research method with the
recommendations of medical specialists [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Nowadays an increase in the number of
* Copyright c 2020 for this paper by its authors. Use permitted under Creative Commons
License Attribution 4.0 International (CC BY 4.0).
studies is also stimulated by the emergence of the coronavirus-19 disease, an acute
infectious disease caused by the SARS-Cov-2 coronavirus (Severe Acute Respiratory
Syndrome CoronaVirus 2).
      </p>
      <p>
        High contagiousness of the disease and its severe clinical course as well as the
increased risk of complications leading to death, all this proves the study of the
Covid-19 phenomenon to be the most pressing problem of the world medical
community [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. CT images visualize various typical manifestations of COVID-19
which play a key role in understanding the overall picture of the disease [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>The idea of the study is to identify and visualize pathological changes in the early
stages of the development of pneumonia from COVID-19. In particular, the study of a
textural feature manifested as “ground-glass opacity”, with a possible further
maximum reduction in radiation exposure without the loss of image quality for the
interpretation and making an adequate conclusion. An urgent task is also to identify a
number of textural indicators on the CT images for dynamic monitoring of the
patient's condition and possibility of predicting outcomes in correlation with the
staging of the disease and the obtained research indicators.
7</p>
    </sec>
    <sec id="sec-2">
      <title>Features of CT Image Texture Analysis for COVID-19</title>
    </sec>
    <sec id="sec-3">
      <title>Diagnosis</title>
      <p>
        Radiological diagnostic methods are used to detect COVID-19 pneumonia, their
complications, and differential diagnosis with other lung diseases as well as to
determine the severity and dynamics of changes including assessing the effectiveness
of therapy. Radiation methods are also required to identify and estimate the nature of
pathological changes in other anatomical areas and as a means of control for invasive
medical interventions [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]
      </p>
      <p>CT images have the highest sensitivity in detecting changes in the lungs
characteristic of COVID-19 pneumonia. The use of CT is advisable for the primary
assessment of the chest cavity organs in patients with severe and progressive forms of
the disease as well as for the differential diagnosis of the identified changes and
evaluation of the process dynamics. According to international recommendations
there are the most typical CT patterns in lungs, which allow one to talk about a high
probability of COVID-19 pneumonia. The most typical feature is the presence of
compaction of the lung tissue manifested as "ground-glass opacity" as described in the
literature.</p>
      <p>
        The term "ground-glass opacity" represents an interstitial type of infiltration of the
lung tissue. On CT images it looks like a compaction of the lung tissue with
preservation of visualization of the bronchial and vascular components (Fig. 1). It is
caused by partial filling of air spaces, interstitial thickening (due to fluid, cells and / or
fibrosis), partial collapse of alveoli, increase in capillary blood volume or their
combination. The common factor is a partial displacement of air [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] (Fig. 2).
To evaluate the CT images of patients with COVID-19, it is necessary to assess the
presence of typical signs, such as:
─ numerous peripheral compaction of the lung tissue of the “ground glass opacity”
type, mainly having a round shape, of various lengths with / without consolidation;
─ thickening of the interlobar interstitium of the “cobblestone” type; a symptom of
air bronchography, but also localization;
─ location is predominantly bilateral, the lower lobe to the peripheral, perivascular;
multilobar bilateral nature of the lesion [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
─ location is predominantly bilateral, lower lobar to peripheral, perivascular, a
multilobar bilateral nature of the lesion is also possible [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Another important criterion based on the nature and severity of radiological signs
(according to the computed tomography) is the correlation of the percentage of lung
damage which is assessed for each lung separately and the severity of the patient's
general condition. Heshui Shi, Xiaoyu Han, Nanchuan Jiang et. al. (2020) studied 81
people and were able to divide all the patients into 4 groups based on the time interval
between the appearance of the changes on the computed tomography [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        At the initial examination the degree of severity and percentage of involvement in
the process of the lung parenchyma are estimated. Next a dynamic study is carried
out. The dynamics of the course of the identified pneumonia COVID-19 is evaluated
according to clinical indications using the following imaging methods:
─ Optimal – performing CT examination of the lungs according to the standard
protocol without intravenous contrast enhancement;
─ Possibly – RG in two projections in the X-ray room [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>
        When describing the dynamics one should rely on the data of the Handbook of
COVID-19 Prevention and Treatment: “Numerous ground-glass compaction areas are
identified, located in the peripheral and subpleural regions of the lungs, mainly in the
lower lobes. The long axis of the lesion is mostly parallel to the pleura. Patients with
massive lesions of the lung tissue should be monitored by a pulmonologist because of
the high risk of interstitial pulmonary “fibrosis” [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
      </p>
      <p>
        In this regard the most important stage in the processing of the CT images is to
highlight features in the images with the most accurate assessment of the
corresponding geometric indicators (markers). As a basic computational tool, it is
proposed to apply the technology of image processing and analysis within the
framework of the radiomics concept. In our experimental study it is proposed to use
the methods of spectral decomposition of CT images for the extraction of quantitative
indicators (markers) for texture and geometric analysis of the object of interest [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        It is also proposed on this algorithmic basis to study possible options for changes in
dynamics and predict outcomes in conjunction with clinical data. The study is aimed
at improving the accuracy of the analysis and interpretation of the images of lung
pathology with COVID-19 in order to evaluate the corresponding indicators (markers)
in the format of modern radiomics technology [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], as well as to evaluate dynamic
changes in the patient's lungs in order to make possible predictions of outcomes.
8
      </p>
    </sec>
    <sec id="sec-4">
      <title>Materials and Methods</title>
      <p>As part of the experimental study the following tasks were formulated and solved:
─ Formation of elements of the database of CT images with pathological changes in
the lungs, in particular, viral pneumonia caused by COVID-19. We used the data of
43 patients with different state of the lung parenchyma, which were studied in
dynamic observation;
─ Substantiation of the application of the method of analysis and interpretation of
images based on which the algorithms of shearlet transformations with contrasting
using color coding were made. These algorithms allow one to highlight complex
texture (morphological) formations with the formation of quantitative features
(markers);
─ Performing experiments to obtain new data suitable for assessing the validity and
efficiency of the applied computational technique.</p>
      <p>
        Within the framework of the methodology, the main stages of processing and
analysis of visual data can be highlighted [
        <xref ref-type="bibr" rid="ref8 ref9">8-9</xref>
        ]:
─ Preprocessing (noise reduction, brightness and contrast correction);
─ The main stage (segmentation and formation of a color-coded outline
representation);
─ The final stage is the extraction of features (markers) and the interpretation of the
results.
      </p>
      <p>
        We adapted a segmentation algorithm based on the principal component analysis
(PCA) and discrete wavelet transform (DWT) with the use of a number of
representative images of COVID-19 pneumonia. In it, according to the results of the
preliminary segmentation, binarization based on the method for determining the Otsu
threshold is performed. Then, the contour representation using the shearlet transform
and color coding is made [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Finally, the characteristics of the texture of the objects
of interest are calculated, which are necessary to obtain estimates of the analyzed area
[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. An example of the analysis and interpretation of an image with signs of
COVID19 based on the application of this technique is shown in Fig. 3.
      </p>
      <p>Evaluation of “ground glass opacity” was carried out according to textural
characteristics and changes in the affected area. The main point of the experimental
study is the analysis of the texture (homogeneity and entropy) of the zone of
pathological changes with the correction of the intensity level and its adaptation
during the histogram analysis. The more uniform values of the intensity or the gamma
during color coding allows us to evaluate the degree of homogeneity of the lesion
without attaching additional signs (markers) with respect to the type of consolidation
and reticular changes.</p>
      <p>At less homogeneous levels, the presence of non-identical components of the
studied pathological process is implied. These features are important in predicting the
disease dynamics. It should be noted that if homogeneous changes persist over time
with their decrease, then the likelihood of an unfavorable outcome also tends to
decrease as compared to more noticeable heterogeneous changes.
9</p>
    </sec>
    <sec id="sec-5">
      <title>Results of the Experimental Studies</title>
      <p>Currently, a dataset of COVID-19 patients (43 people) with pathological changes in
the lungs has been formed for which a number of visual signs was allocated (X-ray
diagnostic department of the FSSCC FMBA of Russia). The main selection criteria of
patients are confirmed coronavirus infection with clinical manifestations and changes
in CT images of the lungs.</p>
      <p>As part of the experimental study, the area of the involved lung parenchyma is
estimated as well as the localization and description of the textural parameters
(markers). The data of the dynamic observations of the CT images for each patient in
the same time period are retrospectively analyzed: on the day of hospitalization, after
2-3 days, on the 5-7th (10) day and also before the discharge. The timing of the CT
diagnostics is set, depending on the patient's condition.</p>
      <p>The patients according to the severity and involvement of the lung parenchyma
were divided into four categories:
─ CT1 – 12 patients, the percentage of involvement of the lung parenchyma &lt;25%;
─ CT2 – 16 patients, the percentage of the lung parenchyma involvement is 25-50%;
─ CT3 – 10 patients, the percentage of the lung parenchyma involvement is 50-75%;
─ CT4 – 5 patients, the percentage of the lung parenchyma involvement &gt; 75%.</p>
      <p>An example of the analysis of the visual data of a patient with the confirmed
coronavirus infection (male, 24 years old) with the severity of CT1 (&lt;25% of the
affected parenchyma) during the dynamic observation and interpretation of the image
with signs of COVID-19 based on the application of the technique is shown in Fig. 4.
The images presented in Fig. 4 show bilateral changes in the peripheral parts of both
lungs and their dynamic changes with a different CT pattern. Based on the analysis of
the images characterizing the stages of changes in the pulmonary parenchyma, the
patient's condition was interpreted in dynamics.</p>
      <p>Fig. 4 a shows the images on the 3-rd day of the disease. One can see a rather
homogeneous texture of the lesion of the "ground glass opacity" type most clearly in
the right lung in a percentage ratio of 9 on the right and 5 on the left with the total
lesion percentage of 14 with an increase in the diameter of the vessels in the affected
area, which is characteristic of this disease. The right image demonstrates the ratios of
the densest part both on the right and on the left in the central regions to the less dense
part along the periphery, which is 6% to 4%.</p>
      <p>Fig. 4 b shows the images on the 7th day of the disease; a different texture of
changes is noted due to the appearance of the areas of consolidation with the
appearance of the symptom of "air bronchography", but with a decrease in the area of
the lesion in a percentage ratio of 9 on the right and 3 on the left, with the total
percentage of damage 12. The right image also shows a denser part of pathological
changes by the red color in relation to yellow, which is 8% to 5% and again indicates
the formation of denser areas of consolidation at the stage of the disease progression.</p>
      <p>Fig. 4 c shows the images on the 14th day of the disease. The resolution of the
previously identified area of consolidation with the formation of "ground glass" and a
decrease in the zones of pathological changes is the following: the right lung – 6% the
left lung – 3% and 9% – the total area of the lesion. There is also a small denser area
in the structure of the right lung, which is 1% of the affected area of the right lung and
8% of the less dense area. These data indicate the resolution of the process and
formation of a fairly homogeneous zone with a favorable prognosis of the outcome,
without preserving gross consequences.</p>
      <p>The assessment of the density of "ground glass" was carried out both visually with
the help of a specialist and using a technique which includes the segmentation
procedure. The main advantage of this technique is the ability to most reliably assess
the boundaries of pathological changes with the calculation of the affected area as
well as highlighting the textural features of the zone of changes. It should be noted
that given the apparent homogeneity of the structure, it is important to isolate a denser
component and further track its changes in order to form a more adequate prognosis
for the course of the pathological process and possible outcomes even in the absence
of changes in the identified zone of actions for correcting therapy.</p>
      <p>In the dynamic assessment, at the first stage of the interpretation of the results the
zones with the previously identified changes are compared with the formation of a
quantitative idea of their change over time. For example, whether the consolidation
has disappeared and a “ground glass opacity” zone has appeared in this place. This
indicates the stage of the pathological process, being the dominant CT sign in
assessing the patient's condition and predicting a possible outcome as well as
prescribing correcting therapy.</p>
      <p>At an early stage of observation (1-4 days) the main symptom is “ground glass
opacity”. At the next stage of progression (5-8 days) the appearance of foci of
consolidation and symptom of “cobblestone pavement” with the preservation of
“ground glass opacity” is noted. The peak stage (9-13 days) is characterized by the
predominance of the consolidation symptom. At the resolution stage (&gt; 14 days),
there is a regression of the identified changes.</p>
      <p>These stages can vary (in time and texture characteristics) due to the age of the
patient, severity of the course of the disease, as well as response to treatment, but in
fact, the dependence remains. Further, in monitoring the patient's dynamic condition
and during the corresponding assessments, a description of “fresh” changes is
obtained or the disappearance of the previously identified zones of pathological
changes is observed. When quantifying the area of the lesion and the ratio of the
denser to the less dense part (in the dynamics of the days of the disease) one can see a
correlation with the stages of the process, which is displayed on the CT images in the
form of the transformation of “ground glass opacity” into consolidation and vice versa
with further regression of the changes.
10</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>A brief methodological and algorithmic description of the development of the
Radiomics technology for texture (geometric) analysis of the CT images with
COVID-19 is presented. Adequate segmentation and visualization of pathological
changes are demonstrated for further construction processing of the studied CT
images in order to solve diagnostic problems.</p>
      <p>The possibility of obtaining additional information on texture parameters (markers)
is shown, expanding the X-ray diagnostic opinion of a radiologist. A quantitative
percentage assessment of the degree of involvement of the lung parenchyma in the
pathological process was carried out, and the possibility of dynamic observation with
the formation of the prediction of the patient’s condition was shown. This indicator
correlated with the days of the disease and the severity of pathological changes may
indicate the severity of the disease.</p>
      <p>In the retrospective analysis, taking into account the indicators of the affected area
and correlation of the ratio of the zone of denser changes (consolidation) to that of
smaller changes, caused by the areas of "ground glass opacity" with the staging of the
process, it is possible to reliably track the relationship:
─ Day 3 of the disease (onset of the disease), the percentage of damage is 9% on the
right and 5% on the left, the ratio of density characteristics is 6% / 4%;
─ 7 day of the disease (onset of the disease), the percentage of damage is 9% on the
right and 3% on the left, the ratio of density characteristics is 8% / 5%;
─ 14th day of the disease (onset of the disease), the percentage of damage is 6% on
the right and 3% on the left, the ratio of density characteristics is 1% / 8%.</p>
      <p>As can be seen from the results of assessing “ground glass opacity” we obtained a
possible gradation of this indicator into the denser and less dense parts with apparent
homogeneity due to the correlation of intensity and color coded images. The use of
the visualization technique for the features associated with the manifestations of
COVID-19 on the CT images shows that it is possible to isolate and quantify the
denser part of pathological changes for its dynamic observation and consequently, to
assess the effect of therapy on this area. At the same time, the most accurate technique
is to highlight the boundaries of the area of the involved parenchyma. This criterion
can be a valuable indicator in predicting the outcome since with a long-existing dense
zone, which during dynamic observation remains unchanged both visually and
structurally in the same volume, the likelihood of fibrosis in this area increases.</p>
    </sec>
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