On a problem of restoration of curves
We investigate the problem of asymptotically optimal placement of disks of the same radius under the condition of minimization of the Hausdorff distance between a given curve $Γ$ and the union of disks under study.
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| Date: | 1999 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4597 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510746578780160 |
|---|---|
| author | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_facet | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_sort | Ligun, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | We investigate the problem of asymptotically optimal placement of disks of the same radius under the condition of minimization of the Hausdorff distance between a given curve $Γ$ and the union of disks under study. |
| first_indexed | 2026-03-24T03:01:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4597 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:54Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/70/795cf1a1169925f382f54bfe1bff4870.pdf |
| spelling | umjimathkievua-article-45972020-03-18T21:09:38Z On a problem of restoration of curves Об одной задаче восстановления кривых Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. We investigate the problem of asymptotically optimal placement of disks of the same radius under the condition of minimization of the Hausdorff distance between a given curve $Γ$ and the union of disks under study. Досліджується задача про асимптотично оптимальне розташування кіл однакового радіуса при мінімізації хаусдорфової відстані між даною кривою $Γ$ та об'єднанням цих кіл. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4597 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 181–189 Український математичний журнал; Том 51 № 2 (1999); 181–189 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4597/5898 https://umj.imath.kiev.ua/index.php/umj/article/view/4597/5899 Copyright (c) 1999 Ligun A. A.; Shumeiko A. A. |
| spellingShingle | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. On a problem of restoration of curves |
| title | On a problem of restoration of curves |
| title_alt | Об одной задаче восстановления кривых |
| title_full | On a problem of restoration of curves |
| title_fullStr | On a problem of restoration of curves |
| title_full_unstemmed | On a problem of restoration of curves |
| title_short | On a problem of restoration of curves |
| title_sort | on a problem of restoration of curves |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4597 |
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