Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion
We consider a method for binary completion of two-dimensional data. On the basis of information about a surface given by a triangular grid, we construct a continuous polygonal surface based on a denser grid (than the one given). We determine the error and norm of this method and study its properties...
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| Дата: | 2002 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2002
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4069 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510197666021376 |
|---|---|
| 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 | 2020-03-18T20:20:31Z |
| description | We consider a method for binary completion of two-dimensional data. On the basis of information about a surface given by a triangular grid, we construct a continuous polygonal surface based on a denser grid (than the one given). We determine the error and norm of this method and study its properties. |
| first_indexed | 2026-03-24T02:53:10Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4069 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:10Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b2/053394f7c1ee1b4e023cfcc6f67855b2.pdf |
| spelling | umjimathkievua-article-40692020-03-18T20:20:31Z Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion Восстановление функции по информации о ее значениях в узлах треугольной сетки, основанное на пополнении данных Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. We consider a method for binary completion of two-dimensional data. On the basis of information about a surface given by a triangular grid, we construct a continuous polygonal surface based on a denser grid (than the one given). We determine the error and norm of this method and study its properties. Розглянуто один метод бінарного поповнення двовимірних даних — за інформацією про поверхню за трикутною решіткою будується неперервна полігональна поверхня за більш густою (ніж задана) решіткою. Отримано величину похибки, норму методу, вивчено його властивості. Institute of Mathematics, NAS of Ukraine 2002-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4069 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 3 (2002); 332-341 Український математичний журнал; Том 54 № 3 (2002); 332-341 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4069/4848 https://umj.imath.kiev.ua/index.php/umj/article/view/4069/4849 Copyright (c) 2002 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. Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title | Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title_alt | Восстановление функции по информации о ее значениях
в узлах треугольной сетки, основанное на пополнении данных |
| title_full | Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title_fullStr | Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title_full_unstemmed | Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title_short | Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion |
| title_sort | recovery of a function from information on its values at the nodes of a triangular grid based on data completion |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4069 |
| work_keys_str_mv | AT ligunaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT shumeikoaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT ligunaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT šumejkoaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT ligunaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT šumejkoaa recoveryofafunctionfrominformationonitsvaluesatthenodesofatriangulargridbasedondatacompletion AT ligunaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh AT shumeikoaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh AT ligunaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh AT šumejkoaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh AT ligunaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh AT šumejkoaa vosstanovleniefunkciipoinformaciioeeznačeniâhvuzlahtreugolʹnojsetkiosnovannoenapopolneniidannyh |