Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar

• Main Authors: Peter I. Kogut, Mykola V. Uvarov
• Format: Article
• Language: English
• Published: Oles Honchar Dnipro National University 2020-10-01
• Series: Journal of Optimization, Differential Equations and Their Applications
• Subjects: image reconstruction problem; synthetic aperture radar image; total variation; image processing; optimality conditions
• Online Access: https://model-dnu.dp.ua/index.php/SM/article/view/152

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.