Reconstruction of the continuum object from the sampled radio image

There are a lot of methods for obtaining the stable approximate solution to image sampling problems. Most of these methods are based on the replacement of the operation of the problem by an approximate regularized operator having the spectrum (eigenvalues) which neither vanishes nor tends to zero for high-frequency components. The regularization parameter, i.e. the degree of closeness between exact and regularized operators is set a priori and has no direct connection with the initial problem. In the present work the incorrectness of the initial problem is overcome by means of the image sampling