The invention relates to systems for a transmission of images via channels of communication with a
limited capacity by means of application of compression of the images. The technical result consists in an increase of the compression degree upon encoding, and it allows to fulfill the transmission of such encoded images via the channel of communication with the
limited capacity, therewith a high degree of the compression is provided without of increase of computational power of encoding device and without of distortions upon decoding. The result is obtained by the usage of more
effective method of interpolation of restored subsamples, in this method there is used an adaptive and applicative set of samples, which restore a quantized
signal, and this set of the samples allows to improve an accuracy of the interpolation with a number of the subsamples, which is necessary for the right interpolation that is simultaneously decreased one.