An Optimized Covering Spheroids by Spheres
Covering spheroids (ellipsoids of revolution) by different spheres is studied. The research is motivated by packing non-spherical particles arising in natural sciences, e.g., in powder technologies. The concept of an ε -cover is introduced as an outer multi-spherical approximation of the spheroid wi...
| Autores principales: | , , , |
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| Formato: | Artículo |
| Lenguaje: | inglés |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | http://eprints.uanl.mx/23634/1/23634.pdf |
| _version_ | 1824416955488010240 |
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| author | Pankratov, Alexander Romanova, Tatiana Litvinchev, Igor Marmolejo Saucedo, José Antonio |
| author_facet | Pankratov, Alexander Romanova, Tatiana Litvinchev, Igor Marmolejo Saucedo, José Antonio |
| author_sort | Pankratov, Alexander |
| collection | Repositorio Institucional |
| description | Covering spheroids (ellipsoids of revolution) by different spheres is studied. The research is motivated by packing non-spherical particles arising in natural sciences, e.g., in powder technologies. The concept of an ε -cover is introduced as an outer multi-spherical approximation of the spheroid with the proximity ε . A fast heuristic algorithm is proposed to construct an optimized ε -cover giving a reasonable balance between the value of the proximity parameter ε and the number of spheres used. Computational results are provided to demonstrate the efficiency of the approach. |
| format | Article |
| id | eprints-23634 |
| institution | UANL |
| language | English |
| publishDate | 2020 |
| record_format | eprints |
| spelling | eprints-236342022-11-19T22:59:40Z http://eprints.uanl.mx/23634/ An Optimized Covering Spheroids by Spheres Pankratov, Alexander Romanova, Tatiana Litvinchev, Igor Marmolejo Saucedo, José Antonio QA Matemáticas, Ciencias computacionales Covering spheroids (ellipsoids of revolution) by different spheres is studied. The research is motivated by packing non-spherical particles arising in natural sciences, e.g., in powder technologies. The concept of an ε -cover is introduced as an outer multi-spherical approximation of the spheroid with the proximity ε . A fast heuristic algorithm is proposed to construct an optimized ε -cover giving a reasonable balance between the value of the proximity parameter ε and the number of spheres used. Computational results are provided to demonstrate the efficiency of the approach. 2020 Article PeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/23634/1/23634.pdf http://eprints.uanl.mx/23634/1.haspreviewThumbnailVersion/23634.pdf Pankratov, Alexander y Romanova, Tatiana y Litvinchev, Igor y Marmolejo Saucedo, José Antonio (2020) An Optimized Covering Spheroids by Spheres. Applied sciences, 10 (5). pp. 1-13. ISSN 2076-3417 http://doi.org/10.3390/app10051846 doi:10.3390/app10051846 |
| spellingShingle | QA Matemáticas, Ciencias computacionales Pankratov, Alexander Romanova, Tatiana Litvinchev, Igor Marmolejo Saucedo, José Antonio An Optimized Covering Spheroids by Spheres |
| thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
| title | An Optimized Covering Spheroids by Spheres |
| title_full | An Optimized Covering Spheroids by Spheres |
| title_fullStr | An Optimized Covering Spheroids by Spheres |
| title_full_unstemmed | An Optimized Covering Spheroids by Spheres |
| title_short | An Optimized Covering Spheroids by Spheres |
| title_sort | optimized covering spheroids by spheres |
| topic | QA Matemáticas, Ciencias computacionales |
| url | http://eprints.uanl.mx/23634/1/23634.pdf |
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