On stability of the center of masses of the vector representation in one probabilistic model of noiseness of an image contour

Classification of plane contours (closed continuous curves) of object images is an important problem in the theory of image recognition. To describe a contour, a small number of its most informative points is chosen. As a rule, these points have a large value of a curvature estimate. Information on positional relationship of these points is transformed into vector representations; one of its important characteristics can be the center of masses. In this paper, we estimate a probability of rejection of the center of masses of the vector representation from it exact position in one sufficiently general probabilistic model of noiseness of an image contour.