On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution
In this paper we propose a new statement of the spatial increasing resolution problem of MODIS-like multi-spectral images via their fusion with Lansat-like imagery at higher resolution. We give a precise definition of the solution to the indicated problem, postulate assumptions that we impose at the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2021-05-01
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| Series: | Journal of Optimization, Differential Equations and Their Applications |
| Subjects: | |
| Online Access: | https://model-dnu.dp.ua/index.php/SM/article/view/156 |
| _version_ | 1819154192297623552 |
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| author | Peter I. Kogut Olga P. Kupenko Mykola V. Uvarov |
| author_facet | Peter I. Kogut Olga P. Kupenko Mykola V. Uvarov |
| author_sort | Peter I. Kogut |
| collection | DOAJ |
| description | In this paper we propose a new statement of the spatial increasing resolution problem of MODIS-like multi-spectral images via their fusion with Lansat-like imagery at higher resolution. We give a precise definition of the solution to the indicated problem, postulate assumptions that we impose at the initial data, establish existence and uniqueness result, and derive the corresponding necessary optimality conditions. For illustration, we supply the proposed approach by results of numerical simulations with real-life satellite images. |
| first_indexed | 2024-12-22T15:17:10Z |
| format | Article |
| id | doaj.art-8e0d7b29909043c1859aa66cdeb6e6c4 |
| institution | Directory Open Access Journal |
| issn | 2617-0108 2663-6824 |
| language | English |
| last_indexed | 2024-12-22T15:17:10Z |
| publishDate | 2021-05-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Journal of Optimization, Differential Equations and Their Applications |
| spelling | doaj.art-8e0d7b29909043c1859aa66cdeb6e6c42022-12-21T18:21:44ZengOles Honchar Dnipro National UniversityJournal of Optimization, Differential Equations and Their Applications2617-01082663-68242021-05-01291547810.15421/142104148On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher ResolutionPeter I. Kogut0Olga P. Kupenko1Mykola V. Uvarov2Department of Differential Equations, Oles Honchar Dnipro National UniversityDepartment of System Analysis and Control, Dnipro University of Technology ’Dnipro Polytechnics’EOS Data Analytics UkraineIn this paper we propose a new statement of the spatial increasing resolution problem of MODIS-like multi-spectral images via their fusion with Lansat-like imagery at higher resolution. We give a precise definition of the solution to the indicated problem, postulate assumptions that we impose at the initial data, establish existence and uniqueness result, and derive the corresponding necessary optimality conditions. For illustration, we supply the proposed approach by results of numerical simulations with real-life satellite images.https://model-dnu.dp.ua/index.php/SM/article/view/156satellite data fusionimage interpolationimage processingvariational approachobjective functional with non-standard growth conditions |
| spellingShingle | Peter I. Kogut Olga P. Kupenko Mykola V. Uvarov On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution Journal of Optimization, Differential Equations and Their Applications satellite data fusion image interpolation image processing variational approach objective functional with non-standard growth conditions |
| title | On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution |
| title_full | On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution |
| title_fullStr | On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution |
| title_full_unstemmed | On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution |
| title_short | On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution |
| title_sort | on increasing of resolution of satellite images via their fusion with imagery at higher resolution |
| topic | satellite data fusion image interpolation image processing variational approach objective functional with non-standard growth conditions |
| url | https://model-dnu.dp.ua/index.php/SM/article/view/156 |
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