The present invention is a system that creates a volumetric display and a user controllable volumetric pointer within the volumetric display. The user can point by aiming a beam which is vector, planar or tangent based, positioning a device in three-dimensions in association with the display, touching a digitizing surface of the display enclosure or otherwise inputting position coordinates. The cursor can take a number of different forms including a ray, a point, a volume and a plane. The ray can include a ring, a bead, a segmented wand, a cone and a cylinder. The user designates an input position and the system maps the input position to a 3D cursor position within the volumetric display. The system also determines whether any object has been designated by the cursor by determining whether the object is within a region of influence of the cursor. The system also performs any function activated in association with the designation.