The work compares the of sparse image interpolation methods such as: - method sequential computation Fourier spectrum (IMSCS), projections onto convex sets (projections sets, POCS), and amplitude iterations (MAI). All calculations necessary for reconstruction images are performed only on spatial spectra. As an example, aerospace digital is used, which typical tasks remote sensing earth's surfac...

When using spectral methods, a consistent method for tuning the expansion order is often required, especially time-dependent problems in which oscillations emerge solution. In this paper, we propose frequency-dependent p-adaptive technique that adaptively adjusts based on frequency indicator. Using technique, combined with recently proposed scaling and moving techniques, are able to devise an a...