Super-resolution image restoration from several blurred images formed in various conditions

A high-resolution restoration method from several blurred images formed in various conditions of object illumination, for example, by imposing a periodical grating on the object is proposed. The possibility of super-resolution is based on an interference of spatial frequencies of the object and the grating. In this case information about high object frequencies may be restored from differential spatial low-frequencies, which have much better transmission than initial high frequencies of the object. The method is based on the optimal linear algorithm of the solution of a Fredholm´s integral equation of the fist kind. The algorithm is good for reconstruction of the object from images blurred by atmosphere, diffraction, moving, sampling. The validity of the proposed method is both theoretically and experimentally demonstrated.