Optimal image reconstruction by results of two-coordinate subpixel scanning

We develop and present a fast decision method in a spatial domain for a problem related to reconstructing an input signal (image) by an ensemble of observed low quality images which differ from each other by a mutual coordinate displacement. The presented algorithms and a computational scheme, which is implemented on their basis, are built in such a way that, from a class of digital signals satisfying a recorded system of observations, the signal with a minimal energy (dispersion) is selected. Aleksandr L. Reznik. Born 1948. Graduated from the Novosibirsk State University in 1969. Received candidate’s degree in 1981. Head of a laboratory of the Institute of Automatics and Electrometry, Siberian Division, Russian Academy of Sciences. Scientific interests: analytical and numerical methods for solving complex probability problems with computer calculations. Author of 64 papers. Vitalii M. Efimov. Born 1933. Graduated from the Moscow Institute of Aviation in 1957. Received candidate’s degree in 1964. Leading researcher at the Institute of Automatics and Electrometry, Siberian Division, Russian Academy of Sciences. Scientific interests: discretization, signal quantization, processing and compression of digital data. Author of 85 papers. Semen T. Vas’kov. Born 1934. Graduated from the Leningrad Institute of Aviation Instrumentation in 1959. Corresponding member of the USSR Academy of Sciences since 1990. Consultant of the Russian Academy of Sciences to the Institute of Automatics and Electrometry. Author of more than 96 papers.