Process of recognition of the shape of graphic objects consists of several stages. At the first stage as a result of processing images allocate some set of characteristic properties of some object, and on the second, make identification of object by means of comparison of these properties with properties of the sample. Presence of noise on real images often leads to disturbance of quantity and values in a set of such characteristic properties. In job methods of preliminary processing of images for receiving of set characteristic properties of objects and present methods of the identification are stated, allowing identifying the shape of graphic objects in conditions when the part of a set of characteristic properties of object concerning the sample is absent or is deformed by noise. Feature of the offered methods is their invariance to affine to transformations of the shape of object, and also high speed of identification, not dependent on complexity of identified object. Copyright © 2018 for the individual papers by the papers' authors.