The paper is devoted to the proof of upper bounds of steps of logic-objectiv algorithms for recognition of a complicated image situated on a display screen. It is proved that the problem of separation and recognition of an etalon object from a complicated scene has a polynomial algorithm. The problem of separation and recognition of an object from a class the description of which contains only distinctive attributes of this class belongs to. To decrease the algorithm number of steps a notion of "fuzzy image"' is introduced. The problem of invariant (under rescaling) image recognition is regarded.
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