Using integer and fractional measure for processing and recognitions of small and distorted images in optical location and medicine

The present work develops the mathematical base of ill-posed inverse problems in optics, as well as a method of processing and reconstructing scenes from incomplete information of their Fourier spectra. This problem is a part of the general problem of the eliminating the influence atmospheric and optical distortion when finding and registering an object at large distances under bad atmospheric conditions. The designed programmed methods are also used to process medical images.