By Fourier inverse transform

frequency domain value of celestial body received by antenna gets luminance distribution map of celestial. However

due to the limited number of antennas in the astronomical observatory

only partial data of frequency domain can be received. In order to achieve better visual effects

image restoration for brightness distribution map of astronomical objects is needed. In mathematics

astronomical image restoration is mainly aimed at dealing with the reduction process of undersampled samples.Use cleaning algorithm and the maximum entropy method to process.But these two methods do not fundamentally solve the problem of the reduction of the undersampled sample. The method combining the compressed sensing theory and the maximum entropy method is used to restore the radio solar image under the under sampling

and the effect is good.