A system for calibrating a robot having a movable part with a calibration marker including: positioning the calibration marker along an optical line of a camera unit; imaging the calibration marker along the optical line to establish line positions P1 . . . PN within a tolerance k, while monitoring joint values j1 . . . jM of the robot; establishing an error function based on resulting calculated robot positions P′1 . . . P′N, for the calibration marker for joint values j1 . . . jM at each line position P1 . . . PN for the calibration marker; identifying a set of robot kinematic parameters by solving an optimization problem based on the error function; and updating a kinematic model of the robot via the identified set of robot kinematic parameters.