Solar image recovery with a weak filling of the spectral plane by the method of projections onto convex sets

This paper is devoted to the problem of solar image recovery in synthesizing radio brightness maps in the case of an incomplete filling of the spectral region (the Fourier data are bounded by a cone with an angle much smaller than 180 deg.) The image was recovered by the method of projection onto closed convex sets (PCCS). Brief theoretical postulates which formed the basis for this method are presented. A comparative characteristic with the CLEAN method is given. The results of using this method for the model data and real data (recovery of the solar radio image obtained in the knife-edge beams of the SSRT) are presented.