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In this report we propose a new concept of mathematical model of characters’ grapheme which nowadays is not strictly formalized and a method of constructing graphemes based on the continuous medial representation of letters in digital images. We also suggest the recognition method of the printed text image on the basis of mathematical model of the grapheme used at generation of features and for classifier construction. The results of experiments confirming the efficiency of the grapheme approach, high quality of text recognition in different font variants and in different qualities of the text image are presented.