Estimation of the permissible level of noise at nonlinear reconstruction of the two-dimensional image of space object

Nonlinear processing results of radio astronomical observations of sources of a space radiation allows to increase resolving ability of radio telescopes. Thus it is possible to restore the details of the image lost at its recording. Increase of resolution grows out the account of prior information on object at its recovery. Wider prior information allows to restore details of sources of radiation more precisely. At recovery of the image of surface of the Sun on radio astronomical observations in 3 mm range it is possible to use prior information on its angular size and mean radiance temperature. The given information allows to restore coordinates, sizes and radiance temperature of active formations on its surface. Quality of restoration is limited to presence of noise in the initial image. We consider its influence on result of two-dimensional restoration of the image.