Abstract
Subject of research: single-channel digital image, second-order invariants to movements and stretching.
 Purpose of research: to determine a new group of invariants of a single-channel digital image with respect to shifts, rotations and stretching.
 Methods and objects of research: the object of research is single-channel images. The developed computational algorithms are based on the complex use of analytical and geometric research methods, the theory of invariants and wavelets.
 Main results of research: a computational scheme for determining the group of invariant characteristics with respect to such digital image transformations as shifts, rotations and stretching has been developed.
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