The functional voxel algorithm for iterative composition of complex contours
The analytical representation most accurately describes the geometry of the simulated objects. However, its application is associated with a number of difficulties. In particular, R-functional modeling imposes high requirements to the qualification of the researcher and may require considerable t...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2023-06-01
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| Series: | Омский научный вестник |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2023/%E2%84%962%20(186)%20(%D0%9E%D0%9D%D0%92)/105-111%20%D0%A1%D1%8B%D1%87%D0%B5%D0%B2%D0%B0%20%D0%90.%20%D0%90.,%20%D0%9F%D0%BB%D0%B0%D0%BA%D1%81%D0%B8%D0%BD%20%D0%90.%20%D0%9C..pdf |
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| _version_ | 1832557471340691456 |
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| author | A. A. Sycheva A. M. Plaksin |
| author_facet | A. A. Sycheva A. M. Plaksin |
| author_sort | A. A. Sycheva |
| collection | DOAJ |
| description | The analytical representation most accurately describes the geometry of the
simulated objects. However, its application is associated with a number of difficulties.
In particular, R-functional modeling imposes high requirements to the qualification
of the researcher and may require considerable time for modeling due to recursive
nesting of calculations. The application of features of functional-voxel models to
simplify R-functional modeling of complex contours is considered. The Function
of Local Zeroing is proposed as the main tool for iterative modeling of complex
contours, including parametric curves. The method of determining the negative area
of FLOZ-constructed contour models for further construction of predicate complex
functions by means of R-functional operations is described. |
| format | Article |
| id | doaj-art-a5cf2448dbaa4d93aead93a8ae3bc9cf |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-a5cf2448dbaa4d93aead93a8ae3bc9cf2025-02-03T04:50:08ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412023-06-012 (186)10511110.25206/1813-8225-2023-186-105-111The functional voxel algorithm for iterative composition of complex contoursA. A. Sycheva0https://orcid.org/0000-0003-3230-4271A. M. Plaksin1https://orcid.org/0000-0001-9390-8322V. A. Trapeznikov Institute of Control Sciences of Russian Academy of SciencesLavochkin AssociationThe analytical representation most accurately describes the geometry of the simulated objects. However, its application is associated with a number of difficulties. In particular, R-functional modeling imposes high requirements to the qualification of the researcher and may require considerable time for modeling due to recursive nesting of calculations. The application of features of functional-voxel models to simplify R-functional modeling of complex contours is considered. The Function of Local Zeroing is proposed as the main tool for iterative modeling of complex contours, including parametric curves. The method of determining the negative area of FLOZ-constructed contour models for further construction of predicate complex functions by means of R-functional operations is described.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2023/%E2%84%962%20(186)%20(%D0%9E%D0%9D%D0%92)/105-111%20%D0%A1%D1%8B%D1%87%D0%B5%D0%B2%D0%B0%20%D0%90.%20%D0%90.,%20%D0%9F%D0%BB%D0%B0%D0%BA%D1%81%D0%B8%D0%BD%20%D0%90.%20%D0%9C..pdffunctional-voxel modelingflozfloz-constructionfunctional-voxel arithmeticr-functional modelingcomplex predicate functioncomplex contour modelingparametric functions modelling |
| spellingShingle | A. A. Sycheva A. M. Plaksin The functional voxel algorithm for iterative composition of complex contours Омский научный вестник functional-voxel modeling floz floz-construction functional-voxel arithmetic r-functional modeling complex predicate function complex contour modeling parametric functions modelling |
| title | The functional voxel algorithm for iterative composition of complex contours |
| title_full | The functional voxel algorithm for iterative composition of complex contours |
| title_fullStr | The functional voxel algorithm for iterative composition of complex contours |
| title_full_unstemmed | The functional voxel algorithm for iterative composition of complex contours |
| title_short | The functional voxel algorithm for iterative composition of complex contours |
| title_sort | functional voxel algorithm for iterative composition of complex contours |
| topic | functional-voxel modeling floz floz-construction functional-voxel arithmetic r-functional modeling complex predicate function complex contour modeling parametric functions modelling |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2023/%E2%84%962%20(186)%20(%D0%9E%D0%9D%D0%92)/105-111%20%D0%A1%D1%8B%D1%87%D0%B5%D0%B2%D0%B0%20%D0%90.%20%D0%90.,%20%D0%9F%D0%BB%D0%B0%D0%BA%D1%81%D0%B8%D0%BD%20%D0%90.%20%D0%9C..pdf |
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