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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="edn" pub-id-type="custom">SZOFVD</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16227</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16227</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Геотехнология и инженерная геология</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Geotechnical Engineering and Engineering Geology</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">A method of determining the errors of segmented GRID models  of open-pit mines constructed with the results of unmanned aerial  photogrammetric survey</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Методика определения погрешностей сегментированных GRID моделей  открытых горных выработок, построенных по результатам  аэрофотосъемки с беспилотного воздушного судна</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Vystrchil</surname>
            <given-names>Mikhail G.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Выстрчил</surname>
              <given-names>М. Г.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Vystrchil</surname>
              <given-names>Mikhail G.</given-names>
            </name>
          </name-alternatives>
          <email>ratven@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1669-7776</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Gusev</surname>
            <given-names>Vladimir N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Гусев</surname>
              <given-names>В. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Gusev</surname>
              <given-names>Vladimir N.</given-names>
            </name>
          </name-alternatives>
          <email>kmd@spmi.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-3148-9729</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Sukhov</surname>
            <given-names>Arseniy K.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Сухов</surname>
              <given-names>А. К.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Sukhov</surname>
              <given-names>Arseniy K.</given-names>
            </name>
          </name-alternatives>
          <email>25sukhov95@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1401-7909</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2023-08-28">
        <day>28</day>
        <month>08</month>
        <year>2023</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2023</year>
      </pub-date>
      <volume>262</volume>
      <fpage>562</fpage>
      <lpage>570</lpage>
      <history>
        <date date-type="received" iso-8601-date="2023-04-14">
          <day>14</day>
          <month>04</month>
          <year>2023</year>
        </date>
        <date date-type="accepted" iso-8601-date="2023-08-02">
          <day>02</day>
          <month>08</month>
          <year>2023</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2023-08-28">
          <day>28</day>
          <month>08</month>
          <year>2023</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2023 М. Г. Выстрчил, В. Н. Гусев, А. К. Сухов</copyright-statement>
        <copyright-statement xml:lang="en">© 2023 Mikhail G. Vystrchil, Vladimir N. Gusev, Arseniy K. Sukhov</copyright-statement>
        <copyright-year>2023</copyright-year>
        <copyright-holder xml:lang="ru">М. Г. Выстрчил, В. Н. Гусев, А. К. Сухов</copyright-holder>
        <copyright-holder xml:lang="en">Mikhail G. Vystrchil, Vladimir N. Gusev, Arseniy K. Sukhov</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/16227">https://pmi.spmi.ru/pmi/article/view/16227</self-uri>
      <abstract xml:lang="ru">
        <p>Предложена методика построения цифровой модели рельефа по результатам аэрофотосъемки с беспилотного воздушного судна, основанная на разделении исходного облака точек на равные сегменты. Это позволяет, сделав допущение о линейном характере изменения высоты точек в отдельном сегменте, аппроксимировать их отдельными плоскостями. По рассеиванию точек относительно аппроксимирующих поверхностей были рассчитаны среднеквадратические погрешности моделей относительно исходных данных, что позволило выявить зависимость погрешности построения модели относительно размеров составляющих их сегментов, а также предложить метод фильтрации ячеек, содержащих выбросы относительно ожидаемой погрешности модели. Предлагаемая методика была апробирована на моделях трех горных объектов – известнякового карьера, отвала фосфогипса и торфяного разреза. Результаты эксперимента показали кратное уменьшение погрешности модели относительно стандартных DEM моделей, что обеспечивает требуемую точность, предъявляемую к горно-графической документации.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The methodology of building a digital elevation model based on the results of aerial photogrammetric survey from an unmanned aircraft is proposed, which is based on the division of the initial point cloud into equal segments. This allows, having made an assumption of the linear character of change of height of points in a separate segment, to approximate them by separate planes. RMS errors of the models from the survey data were calculated according to the scattering of the points in relation to the approximating surfaces, which made it possible to reveal the dependence of the model construction error relative to the sizes of their constituent segments, as well as to propose a method for filtering the cells containing outliers with respect to the expected model error. The proposed method was tested on the models of three mining objects – limestone quarry, phosphogypsum dump, and peat cut. The experimental results showed a multiple reduction in model error compared to standard DEM models providing the required accuracy for mining documentation.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>облако точек</kwd>
        <kwd>дистанционные съемки</kwd>
        <kwd>фотограмметрия</kwd>
        <kwd>лазерно-сканирующие системы</kwd>
        <kwd>DEM модели</kwd>
        <kwd>GRID модели</kwd>
        <kwd>маркшейдерское дело</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>point cloud</kwd>
        <kwd>remote sensing</kwd>
        <kwd>photogrammetry</kwd>
        <kwd>laser scanning systems</kwd>
        <kwd>DEM</kwd>
        <kwd>GRID</kwd>
        <kwd>mine survey</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
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