1. A medical workstation, comprising: a robot having a plurality of articulation axes and an end flange for supporting an attachment; a carrier operatively coupled to said end flange for movement therewith; an x-ray source and an x-ray receiver supported on said carrier; a three-dimensional model that models the position and spatial extent of said carrier during movement of said robot, and that models the position and spatial extent of at least one of an additional device or a living organism; and a control utilizing said three-dimensional model and actuating said robot to prevent a collision of said carrier, said x-ray source, or said x-ray receiver with the additional device or the living organism during movement of said robot.