Solution of the inverse problem of modified cyclographic model
In cyclographic modeling of a line of three-dimensional space, direct and inverse problems are known. A sufficient number of publications are devoted to the solution of these problems in the scientific literature. The authors of the work, on the basis of studies of the well-known classical cycl...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2023-02-01
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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%961%20(185)%20(%D0%9E%D0%9D%D0%92)/25-30%20%D0%9B%D1%8E%D0%B1%D1%87%D0%B8%D0%BD%D0%BE%D0%B2%20%20%D0%95.%20%D0%92.,%20%D0%9F%D0%B0%D0%BD%D1%87%D1%83%D0%BA%20%D0%9A.%20%D0%9B.,%20%D0%9C%D1%8F%D1%81%D0%BE%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%20%D0%A2.%20%D0%9C..pdf |
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| _version_ | 1832544672923254784 |
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| author | E. V. Lyubchinov K. L. Panchuk T. M. Myasoedova |
| author_facet | E. V. Lyubchinov K. L. Panchuk T. M. Myasoedova |
| author_sort | E. V. Lyubchinov |
| collection | DOAJ |
| description | In cyclographic modeling of a line of three-dimensional
space, direct and inverse problems are known. A sufficient
number of publications are devoted to the solution of these
problems in the scientific literature. The authors of the
work, on the basis of studies of the well-known classical
cyclographic model, obtained its modification, called the
modified cyclographic model. The need for this model
caused by the solution of a number of practical problems of
geometric modeling, in particular in the field of developing
surface forms of roads, where traditionally only the direct
problem of geometric modeling is considered, in which
it is required to determine the surface shape of the latter
along the spatial axis of the road. The authors proposed a solution to the inverse problem of modeling for a modified
cyclographic projection, which makes it possible to restore
a curved line of space from its cyclographic image. The
paper gives a justification and a solution to the inverse
problem of cyclographic modeling, implemented on a
numerical example. The results of the work can be used
in computer-aided design systems that specialize in the
design of general and special roads. |
| format | Article |
| id | doaj-art-35592e278dae4985b0e6c8c96ad83c8b |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-35592e278dae4985b0e6c8c96ad83c8b2025-02-03T10:05:44ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412023-02-011 (185)253010.25206/1813-8225-2023-185-25-30Solution of the inverse problem of modified cyclographic modelE. V. Lyubchinov0https://orcid.org/0000-0003-2499-4866K. L. Panchuk1https://orcid.org/0000-0001-9302-8560T. M. Myasoedova2https://orcid.org/0000-0002-9641-9417Omsk State Technical UniversityOmsk State Technical UniversityOmsk State Technical UniversityIn cyclographic modeling of a line of three-dimensional space, direct and inverse problems are known. A sufficient number of publications are devoted to the solution of these problems in the scientific literature. The authors of the work, on the basis of studies of the well-known classical cyclographic model, obtained its modification, called the modified cyclographic model. The need for this model caused by the solution of a number of practical problems of geometric modeling, in particular in the field of developing surface forms of roads, where traditionally only the direct problem of geometric modeling is considered, in which it is required to determine the surface shape of the latter along the spatial axis of the road. The authors proposed a solution to the inverse problem of modeling for a modified cyclographic projection, which makes it possible to restore a curved line of space from its cyclographic image. The paper gives a justification and a solution to the inverse problem of cyclographic modeling, implemented on a numerical example. The results of the work can be used in computer-aided design systems that specialize in the design of general and special roads. https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2023/%E2%84%961%20(185)%20(%D0%9E%D0%9D%D0%92)/25-30%20%D0%9B%D1%8E%D0%B1%D1%87%D0%B8%D0%BD%D0%BE%D0%B2%20%20%D0%95.%20%D0%92.,%20%D0%9F%D0%B0%D0%BD%D1%87%D1%83%D0%BA%20%D0%9A.%20%D0%9B.,%20%D0%9C%D1%8F%D1%81%D0%BE%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%20%D0%A2.%20%D0%9C..pdfgeometric modelingcyclographymodified cyclographic projectioninverse taskroad surface form design |
| spellingShingle | E. V. Lyubchinov K. L. Panchuk T. M. Myasoedova Solution of the inverse problem of modified cyclographic model Омский научный вестник geometric modeling cyclography modified cyclographic projection inverse task road surface form design |
| title | Solution of the inverse problem of modified cyclographic model |
| title_full | Solution of the inverse problem of modified cyclographic model |
| title_fullStr | Solution of the inverse problem of modified cyclographic model |
| title_full_unstemmed | Solution of the inverse problem of modified cyclographic model |
| title_short | Solution of the inverse problem of modified cyclographic model |
| title_sort | solution of the inverse problem of modified cyclographic model |
| topic | geometric modeling cyclography modified cyclographic projection inverse task road surface form design |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2023/%E2%84%961%20(185)%20(%D0%9E%D0%9D%D0%92)/25-30%20%D0%9B%D1%8E%D0%B1%D1%87%D0%B8%D0%BD%D0%BE%D0%B2%20%20%D0%95.%20%D0%92.,%20%D0%9F%D0%B0%D0%BD%D1%87%D1%83%D0%BA%20%D0%9A.%20%D0%9B.,%20%D0%9C%D1%8F%D1%81%D0%BE%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%20%D0%A2.%20%D0%9C..pdf |
| work_keys_str_mv | AT evlyubchinov solutionoftheinverseproblemofmodifiedcyclographicmodel AT klpanchuk solutionoftheinverseproblemofmodifiedcyclographicmodel AT tmmyasoedova solutionoftheinverseproblemofmodifiedcyclographicmodel |