Pointing and interaction control devices for large scale tabletop models are provided herein. An example method includes determining a frame of reference for a first display, where the first display provides a multi-dimensional representation. The method includes determining a location and a direction of a laser beam emitted by a mobile device having a laser pointing apparatus using motion signals obtained from the mobile device, and the frame of reference. The first display can include a two-dimensional display surface and a physical three-dimensional representation placed onto the two-dimensional display surface. The method can include determining an intersection of a laser beam of the laser pointing apparatus with either the physical three-dimensional representation or the two-dimensional display surface based on the location and the direction of the mobile device relative to the frame of reference.