Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №9
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2022.9.7
ALGORITHMS OF THE METHOD OF AMPLITUDE ITERATIONS
AND POCS FOR THE RECONSTRUCTION
OF SPARSE TWO-DIMENSIONAL SIGNALS
A.V. Kokoshkin
Kotelnikov IRE RAS, Fryazino branch
141120, Russia, Fryazino, Vvedenskogo sq., 1
The paper was received August 31, 2022.
Abstract. The paper presents algorithms of the method of amplitude iterations (MAI) and the method of projections onto convex sets (POCS) adapted for the reconstruction of sparse two-dimensional signals. Digital images with significantly different autocorrelation functions (ACF) are selected as examples for the practical application of MAI and POCS. The calculations carried out allow us to conclude that it is possible in principle to use MAI and POCS to restore sparse images both for the reconstruction of lacunae and in order to reduce the amount of data.
Key words: remote sensing, sparse digital images, image processing, method of amplitude iterations, method of projections onto convex sets.
Financing: The work was carried out within the framework of the state task of the Kotelnikov Institute of Radioengineering and Electronics (IRE) of Russian Academy of Sciences № 075-01133-22-00.
Corresponding author: Kokoshkin Alexander Vladimirovich, shvarts65@mail.ru
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For citation:
Kokoshkin A.V. Algorithms of the method of amplitude iterations and POCS for the reconstruction of sparse two-dimensional signals. Zhurnal radioehlektroniki [Journal of Radio Electronics] [online]. 2022. №9. https://doi.org/10.30898/1684-1719.2022.9.7 (In Russian)