A method facilitates touchless control of medical equipment devices in an OR. The method involves: providing a three-dimensional control menu, which comprises a plurality of menu items selectable by the practitioner by one or more gestures made in a volumetric spatial region corresponding to the menu item; displaying an interaction display unit (IDU) image corresponding to the three-dimensional control menu to provide indicia of any selected menu items; estimating a line of sight of a practitioner; and when the estimated line of sight is directed within a first spatial range around a first medical equipment device, determining that the practitioner is looking at the first medical equipment device. Then the method involves providing a first device-specific three-dimensional control menu displaying a first device-specific IDU image.