Variational model with nonstandard growth conditions for restoration of satellite optical images using synthetic aperture radar

In this paper, the problem of restoration of cloud contaminated optical images is studied in the case when we have no information about brightness of such images in the damage region. We propose a new variational approach for exact restoration of optical multi-band images utilising Synthetic Apertur...

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Bibliographic Details
Published inEuropean journal of applied mathematics Vol. 34; no. 1; pp. 77 - 105
Main Authors D’APICE, C., KOGUT, P.I., MANZO, R., UVAROV, M.V.
Format Journal Article
LanguageEnglish
Published Cambridge Cambridge University Press 01.02.2023
Subjects
Aperture
Applied mathematics
Cloud computing
Data analysis
Optimization
Partial differential equations
Radar imaging
Remote sensing
Restoration
Satellite imagery
Spatial data
Synthetic aperture radar
Vegetation
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Summary:In this paper, the problem of restoration of cloud contaminated optical images is studied in the case when we have no information about brightness of such images in the damage region. We propose a new variational approach for exact restoration of optical multi-band images utilising Synthetic Aperture Radar (EOS – Spatial Data Analytics, GIS Software, Satellite Imagery – is a cloud-based platform to derive remote sensing data and analyse satellite imagery for business and science purposes) images of the same regions. We prove existence of solutions, propose an alternating minimisation method for computing them, prove convergence of this method to weak solutions of the original problem and derive optimality conditions.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792522000031