Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar
In this paper the problem of reconstruction of damaged multi-band optical images is studied in the case where we have no information about brightness of such images in the damage region. Mostly motivated by the crop field monitoring problem, we propose a new variational approach for exact reconstruc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2020-10-01
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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/152 |
| _version_ | 1818921289033711616 |
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| author | Peter I. Kogut Mykola V. Uvarov |
| author_facet | Peter I. Kogut Mykola V. Uvarov |
| author_sort | Peter I. Kogut |
| collection | DOAJ |
| description | In this paper the problem of reconstruction of damaged multi-band optical
images is studied in the case where we have no information about brightness of such
images in the damage region. Mostly motivated by the crop field monitoring problem,
we propose a new variational approach for exact reconstruction of damaged multi-band
images using results of their co-registration with Synthetic Aperture Radar (SAR) images
of the same regions. We discuss the consistency of the proposed problem, give the scheme
for its regularization, derive the corresponding optimality system, and describe in detail
the algorithm for the practical implementation of the reconstruction procedure. |
| first_indexed | 2024-12-20T01:35:16Z |
| format | Article |
| id | doaj.art-86cd73464bc54ff5a975a0d933e7093d |
| institution | Directory Open Access Journal |
| issn | 2617-0108 2663-6824 |
| language | English |
| last_indexed | 2024-12-20T01:35:16Z |
| publishDate | 2020-10-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Journal of Optimization, Differential Equations and Their Applications |
| spelling | doaj.art-86cd73464bc54ff5a975a0d933e7093d2022-12-21T19:58:02ZengOles Honchar Dnipro National UniversityJournal of Optimization, Differential Equations and Their Applications2617-01082663-68242020-10-01282477910.15421/1420O4144Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture RadarPeter I. Kogut0Mykola V. Uvarov1Department of Differential Equations, Oles Honchar Dnipro National UniversityEOS Data Analytics UkraineIn this paper the problem of reconstruction of damaged multi-band optical images is studied in the case where we have no information about brightness of such images in the damage region. Mostly motivated by the crop field monitoring problem, we propose a new variational approach for exact reconstruction of damaged multi-band images using results of their co-registration with Synthetic Aperture Radar (SAR) images of the same regions. We discuss the consistency of the proposed problem, give the scheme for its regularization, derive the corresponding optimality system, and describe in detail the algorithm for the practical implementation of the reconstruction procedure.https://model-dnu.dp.ua/index.php/SM/article/view/152image reconstruction problemsynthetic aperture radar imagetotal variationimage processingoptimality conditions |
| spellingShingle | Peter I. Kogut Mykola V. Uvarov Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar Journal of Optimization, Differential Equations and Their Applications image reconstruction problem synthetic aperture radar image total variation image processing optimality conditions |
| title | Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar |
| title_full | Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar |
| title_fullStr | Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar |
| title_full_unstemmed | Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar |
| title_short | Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar |
| title_sort | variational approach for the reconstruction of damaged optical satellite images through their co registration with synthetic aperture radar |
| topic | image reconstruction problem synthetic aperture radar image total variation image processing optimality conditions |
| url | https://model-dnu.dp.ua/index.php/SM/article/view/152 |
| work_keys_str_mv | AT peterikogut variationalapproachforthereconstructionofdamagedopticalsatelliteimagesthroughtheircoregistrationwithsyntheticapertureradar AT mykolavuvarov variationalapproachforthereconstructionofdamagedopticalsatelliteimagesthroughtheircoregistrationwithsyntheticapertureradar |