Proposed new mathematical model of face images used in criminology. This models helps to solve important tasks: retrieval people by sketches; people retrieval on damaged photos; face protection member of the trial of the recognition; recognition of face images with illumination problems; «range image» reconstruction and the problem of restoration of 3D face shapes of the skull; biological barcode human person and people indexing. The totality of the ideas presented allows to solve practical problems of criminology more efficient at the establishment of appropriate software systems.