Using Topological Data Analysis to Visualize Instrument Output
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Using Topological Data Analysis to Visualize Instrument Output
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| Автор |
Chukanov, S. N.
Chukanov, I. S. |
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| Тематика |
PERSISTENT HOMOLOGY
RIGID BODY DYNAMICS TAKENS EMBEDDING TOPOLOGICAL DATA ANALYSIS CLASSIFICATION (OF INFORMATION) DATA HANDLING DATA VISUALIZATION EMBEDDINGS IMAGE ANALYSIS RIGID STRUCTURES THREE DIMENSIONAL COMPUTER GRAPHICS TOPOLOGY 2D AND 3D VISUALIZATION 3-D IMAGE 3D-IMAGES EMBEDDINGS MOMENTS OF INERTIA PERSISTENT HOMOLOGY RIGID BODY RIGIDBODY DYNAMICS TAKEN EMBEDDING TOPOLOGICAL DATA ANALYSIS ANGULAR VELOCITY |
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| Описание |
The article discusses Takens embedding for 2D and 3D visualization of 1D time series data. The paper considers the use of topological data analysis in conjunction with Takens embedding to analyze the output information of a dynamic system - a rigid body. 3D images of curves constructed from three components of the angular velocity vector of a rigid body for various values of the main moments of inertia are constructed. Three-dimensional images of the curves constructed on the basis of the Takens embedding for the component of the angular velocity of a rigid body for various values of the principal moments of inertia are constructed. Distances between 3D images of curves are determined by constructing persistent landscape functions. Using the method of topological data analysis in conjunction with Takens embedding for image comparison allows you to classify and identify images and output information of the instrumental composition. © 2023 National Research Nuclear University. All rights reserved.
FWNF-2022-0016; Russian Science Foundation, RSF: 22-21-00035 The research was funded in accordance with the state task of the IM SB RAS, project FWNF-2022-0016, and the Russian Science Foundation, grant no. 22-21-00035. |
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| Дата |
2024-04-05T16:30:59Z
2024-04-05T16:30:59Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Чуканов, СН & Чуканов, ИС 2023, 'ИСПОЛЬЗОВАНИЕ ТОПОЛОГИЧЕСКОГО АНАЛИЗА ДАННЫХ ДЛЯ ВИЗУАЛИЗАЦИИ ВЫХОДНОЙ ИНФОРМАЦИИ ПРИБОРОВ', Научная визуализация, Том. 15, № 2, стр. 11-21. https://doi.org/10.26583/sv.15.2.02
Чуканов, С. Н., & Чуканов, И. С. (2023). ИСПОЛЬЗОВАНИЕ ТОПОЛОГИЧЕСКОГО АНАЛИЗА ДАННЫХ ДЛЯ ВИЗУАЛИЗАЦИИ ВЫХОДНОЙ ИНФОРМАЦИИ ПРИБОРОВ. Научная визуализация, 15(2), 11-21. https://doi.org/10.26583/sv.15.2.02 2079-3537 Final All Open Access, Bronze https://www.scopus.com/inward/record.uri?eid=2-s2.0-85167580977&doi=10.26583%2fsv.15.2.02&partnerID=40&md5=f7a9420990afef0c2a5f740817e7d8da http://sv-journal.org/2023-2/02/en.pdf http://elar.urfu.ru/handle/10995/130711 54052117 10.26583/sv.15.2.02 85167580977 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00035
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
National Research Nuclear University
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| Источник |
Scientific Visualization
Scientific Visualization |
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