1. A system comprising: a spatial input subsystem configured to visually detect a hand gesture acted out by a user within a physical user space associated with a display screen, the hand gesture having an index finger pointing at the display screen, determine that the detected hand gesture is predefined to indicate a request for cursor projection, and output data associated with the hand gesture in response to the determination; a cursor projection subsystem communicatively coupled to the spatial input subsystem and configured to receive the data associated with the hand gesture from the spatial input subsystem, and map the hand gesture to at least one cursor position on the display screen based on at least one of a plane projection heuristic and a vector projection heuristic.