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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Reconstruction of realistic three-dimensional models of biological objects from MR-images for the radiation therapy purposes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>A.V. Lebedeva</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>V.V. Mamontova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>S.A. Nemnyugin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>A.V. Komolkin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Saint Petersburg State University</institution>
          ,
          <addr-line>7/9 Universitetskaya emb., 199034, St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2017</year>
      </pub-date>
      <fpage>293</fpage>
      <lpage>295</lpage>
      <abstract>
        <p>Magnetic Resonance Imaging (MRI) is one of the most widely used medical diagnostic techniques. Digital Imaging and COmmunications in Medicine (DICOM) is standard format to store results of MRI. In the paper methods of visualization of three-dimensional voxel models of human organs from data obtained using MRI are considered. These models may be used both in medical research and for planning of the radiation therapy treatment. The result of the work is a software package developed for medical physics research. Efficient methods of reconstruction of realistic three-dimensional models of biological objects from medical images may be used both to improve quality of human's life and for medical purposes. For example, they may be used for creating of tool detecting cancer which is one of the leading reasons of mortality [1]. Cancer should be treated on as early stages as possible, so its early diagnostics is extremely important. One of the most widely used techniques of diagnostics is magnetic resonance imaging (MRI). MRI allows imaging in three mutually perpendicular planes. A qualified specialist should have the ability to detect abnormalities in the structure of the body without surgery by viewing the individual images. Reconstructed realistic volume model with possibility of visual transformations makes analysis more efficient. Reconstructed from real tomograms 3D models may be also used for the purposes of computer simulation of processes of radio- and hadron therapy [2-3]. Usage of such models allows getting more reliable results taking into account personal features of the patient, so it should help to develop more rigorous treatment plans. In addition, technologies of augmented reality allow associate preoperative data with the current state of the organism, or to use them in real-time in the operations. MRI is based on the phenomenon of nuclear magnetic resonance. The patient is placed in a scanner which creates crosssectional images of a human body or other biological object. MRI image should be analyzed and interpreted by physician. Tomographic survey results are stored in the file according to the medical industry standard DICOM 3.0 file [4]. This standar d uses its own internal storage technology, so there is a need of efficient conversion of DICOM images to the volume geometrical model which may be used in diagnostics and simulation.</p>
      </abstract>
      <kwd-group>
        <kwd>Magnetic Resonance Imaging</kwd>
        <kwd>DICOM</kwd>
        <kwd>biological system modeling</kwd>
        <kwd>voxel volume model</kwd>
        <kwd>3D rendering</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The hierarchy of DICOM files.</p>
      <p>Mathematical Modeling / A.V. Lebedeva, V.V. Mamontova , S.A. Nemnyugin, A.V. Komolkin</p>
      <p>Distance between successive sections in MRI images in general is greater than size of a two-dimensional pixel in the plane.
Volume model is composed from voxels which are 3D generalization of plane pixels. Thus, the geometrical dimensions of the
voxels in a volume model may be different in all three dimensions. In this case, the data element consists of voxels having a
base corresponding to the size of the pixel which belongs to a plane and a height corresponding to the distance between section
images.</p>
    </sec>
    <sec id="sec-2">
      <title>3. Method of reconstruction of volume model</title>
      <p>Method of volume model reconstruction consists of the following steps: processing of the DICOM-file (extracting of
metadata, extracting of 2D images and patient IOD), volume model reconstruction, 3D image rendering.</p>
      <sec id="sec-2-1">
        <title>3.1. 2D Image Processing</title>
        <p>
          MRI data of each image section have to be converted to image in graphic png format. Color of every pixel is defined by the
density of body tissue in the tomogram. In case of MRI DICOM file stores signal intensity. It is necessary to take into account
additional information in tags "window width" and "window center" to get an array of densities. In our work algorithm proposed
in [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ] is used with simple transformation function. Results are presented on Figs.2-3.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>3.2. 3D Image Processing</title>
        <p>3D reconstruction implemented by third-party packages has a number of shortcomings, including the specialized formats of
output files and lack of information about algorithms of volume model reconstruction, so we realized 3D model reconstruction
method in our own software package.</p>
        <p>From a set of different methods of 3D reconstruction the most common one - voxel-based volume model was used. In the
model a voxel is not only a volumetric pixel, but it also contains a color value, generally corresponding to density of biological
tissue. Reconstruction of 3D model is based on combining of section images. Distance between the images is defined by
orientation of each image in space, as well as its spatial coordinates and thickness of each layer. Serious shortcoming of the
voxel-based volume model is in large resulting data files. Processing of such files requires a lot of computer memory and CPU
times. To reduce data to be processed in rendering it is necessary to show only those voxels that are not hid by others.</p>
        <p>3D image processing is implemented with OpenGL Shading Language. It is high-level shading language with a syntax based
on the C programming language. GLSL shaders represent a set of strings that are passed to the hardware vendor’s driver for
compilation from within an application using the OpenGL API’s entry points.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>4. Results and Discussion</title>
      <p>Algorithm of the volume model reconstruction from DICOM file was implemented with options of visual transformations of
rendered image. Reconstructed models represent not only 3D geometry of biological object from MRI tomogram but they also</p>
      <p>Mathematical Modeling / A.V. Lebedeva, V.V. Mamontova , S.A. Nemnyugin, A.V. Komolkin
store information on the density of tissues. Three-dimensional model of chicken carcass is presented on fig. 4. Other example is
the image of the brain given on fig.5.</p>
      <p>3D rendering of of chicken volum mode based on MRI.</p>
      <p>3D rendering of reconstructed volume model of the head.</p>
    </sec>
    <sec id="sec-4">
      <title>5. Conclusion</title>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements References</title>
      <p>Algorithms of the volume model reconstruction from MRI images in DICOM files were developed and implemented as
software program. The program allows reading DICOM file and visualizing its content as two-dimensional image. Volume
model could also be reconstructed. It may be rendered to present MRI results more completely. 3D model may be also used for
simulation of interaction of the radiotherapeutic beam with tissues of human body or other biological object. It is necessary to
optimize the operation of the program, for example, using HPC and parallel programming techniques. The program can be used
both for medical purposes and for studies in medical physics.</p>
      <p>The authors acknowledge the Physics Department of the St. Petersburg State University. Research was carried out using
computational resources provided by the Resource Physics Educational Centre of the Research park of Saint-Petersburg State
University.</p>
    </sec>
  </body>
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