Instruments and Systems: Monitoring, Control, and Diagnostics Annotation << Back The mathematical model of the subsystem based authentication of graphic images in operating systems Yu.Yu. Gromov, A.V.Yakovlev, E.O.Vasjukova, M. A. Pelivan In the article are reviewed the process of authentication based graphical password functionality in Windows 8, the basic gestures used to create a password and their resistance to certain types of attacks. Produced a General formal description of gestures, from which is formed the graphical password and frequent description of each of the gestures. Defined conditions for the occurrence of collisions when the input graphical password by the user and parry them. It was found that the gesture “point” has a good stability to attack on the basis of spying, the gesture “line” is resistant to brute force attacks, and gesture “circle” has a relative resistance to brute force attacks than gesture type line. The conducted research allows to make a conclusion, that the subsystem graphics authentication cannot guarantee absolute stability, like all subsystems, based on the password, but can be used for two-factor authentication. Keywords: authentication, graphical password, graphical authentication, gesture “point”, gesture “line”, gesture “circle”. Contacts: gromovtambov@yandex.ru Pp. 11-17.