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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Food Processing: Techniques and Technology</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Food Processing: Techniques and Technology</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Техника и технология пищевых производств</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2074-9414</issn>
   <issn publication-format="online">2313-1748</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">69869</article-id>
   <article-id pub-id-type="doi">10.21603/2074-9414-2023-3-2448</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРИГИНАЛЬНАЯ СТАТЬЯ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORIGINAL ARTICLE</subject>
    </subj-group>
    <subj-group>
     <subject>ОРИГИНАЛЬНАЯ СТАТЬЯ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Automated Measurement of Air Bubbles Dispersion in Ice Cream Using Machine Learning Methods</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Автоматизированное определение дисперсности воздушной фазы в мороженом с применением методов машинного обучения</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3166-2827</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Королев</surname>
       <given-names>Игорь Антонович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Korolev</surname>
       <given-names>Igor A.</given-names>
      </name>
     </name-alternatives>
     <email>i.korolev@fncps.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Всероссийский научно-исследовательский институт холодильной промышленности</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">All-Russian Scientific Research Institute of Refrigeration Industry</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2023-09-29T00:00:00+03:00">
    <day>29</day>
    <month>09</month>
    <year>2023</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2023-09-29T00:00:00+03:00">
    <day>29</day>
    <month>09</month>
    <year>2023</year>
   </pub-date>
   <volume>53</volume>
   <issue>3</issue>
   <fpage>455</fpage>
   <lpage>464</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-11-29T00:00:00+03:00">
     <day>29</day>
     <month>11</month>
     <year>2022</year>
    </date>
    <date date-type="accepted" iso-8601-date="2023-01-10T00:00:00+03:00">
     <day>10</day>
     <month>01</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://fptt.ru/en/issues/22025/21971/">https://fptt.ru/en/issues/22025/21971/</self-uri>
   <abstract xml:lang="ru">
    <p>Мороженое – популярный замороженный десерт, характеризующийся присутствием воздушной фазы в виде мельчайших пузырьков (средний диаметр 15–60 мкм). При создании новых рецептур мороженого необходимо учитывать влияние композиционного состава и производственных факторов на состояние воздушной фазы. Важно достоверно и с минимальными затратами времени определять ее дисперсность. Цель исследования – разработка и оптимизация алгоритма для автоматической разметки положения центров и диаметра воздушных пузырьков на микроскопических изображениях типа ограничивающая окружность на примере мороженого, а также создание компьютерной программы. &#13;
Провел поиск и анализ статей по применению микроскопического метода исследований для оптимизации технологических параметров работы оборудования или рецептуры мороженого и замороженных десертов, опубликованных на русском и английском языках в базах данных WoS и RSCI за последние 20 лет. Выполнил сбор микроскопических изображений воздушной фазы в мороженом при помощи микроскопа Оlympus CX41RF. Для написания автоматической программы разметки использовал язык программирования Python, библиотеку машинного обучения Keras и фреймворк TensorFlow. Обучение моделей выполнено при помощи видеоускорителя NVIDIA GTX.&#13;
Анализ научной литературы показал, что дисперсность воздушной фазы в мороженом зависит от его состава и параметров процесса фризерования и закаливания, а формирование воздушных пузырьков описывается теориями пенообразования. На основе ручной разметки микроскопических изображений пузырьков воздуха в мороженом создал обучающий массив данных. Определил оптимальное количество каналов в конволюционных слоях нейронной сети на базе архитектуры LeNet, которая позволила классифицировать изображения сфер/не сфер с точностью более 0,995. Установил пределы срабатывания нейронной сети при использовании метода скользящего окна: 7,5 % диаметра при боковом смещении, 12,5 % при масштабировании. Разработанный алгоритм позволяет автоматически размечать пузырьки на микроскопических изображениях. Погрешность определения среднего диаметра сфер не превышала 1,8 %.&#13;
Разработал метод автоматизированного подсчета количества и диаметра пузырьков воздуха в мороженом, который позволяет снизить трудоемкость проводимых исследований. Исходный код проекта размещен в открытом доступе и может быть адаптирован исследователями для решения своих задач в области компьютерного зрения.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Ice cream is a popular cold dessert. Its air phase consists of tiny bubbles with an average diameter of 15–60 µm. New ice cream formulations depend on the way the composition and production factors affect the air phase. As a result, ice cream producers need new time-saving and reliable methods to determine dispersion. The research objective was to create a computer program for marking the position of centers and diameter of air bubbles on microscopic images of a bounding circle type.&#13;
The review part included 20 years of Russian and English publications on microscopic research methods in ice cream production indexed in Web of Science and Russian Research Citation Index. Microscopic images of ice cream air phase were obtained using an Olympus CX41RF microscope with a magnification of ×100. The automatic markup program employed the Python programming language, the Keras machine learning library, and the TensorFlow framework. The models were trained using the NVIDIA GTX video accelerator.&#13;
The review showed that the dispersion of ice cream air phase depends on its composition and the freezing parameters whereas bubble formation is usually described in line with the existing foaming theories. A training data set was obtained by manual labeling of microscopic images. The optimal number channels in the convolutional layers of a neural network with LeNet-type architecture was determined, which made it possible to classify images as spheres or non-spheres with an accuracy of ≥ 0.995. The sliding window method helped to determine the limits of the neural network triggering for the sliding window method were determined, which reached 7.5% of the diameter with lateral displacement and 12.5% with scaling. The developed algorithm automatically marked bubbles on microscopic images. The error in determining the average diameter was below 1.8%.&#13;
The new method for automated calculation of the number and diameter of air bubbles in ice cream proved to be user-friendly. It can be found in public domain, and researchers are free to adapt it to solve various computer vision issues.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Мороженое</kwd>
    <kwd>дисперсность</kwd>
    <kwd>пузырьки воздуха</kwd>
    <kwd>микроскопия</kwd>
    <kwd>машинное обучение</kwd>
    <kwd>нейронная сеть</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Ice cream</kwd>
    <kwd>microscopy</kwd>
    <kwd>machine learning</kwd>
    <kwd>markup</kwd>
    <kwd>bounding circle</kwd>
    <kwd>air bubbles</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">Статья подготовлена в рамках выполнения исследований по государственному заданию Федерального научного центра пищевых систем им. В. М. Горбатова РАН.</funding-statement>
    <funding-statement xml:lang="en">The article was part of state assignment to the V.M. Gorbatov Federal Research Center for Food Systems of Russian Academy of Science.</funding-statement>
   </funding-group>
  </article-meta>
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