Input device tracking

A method for tracking an input device in three-dimensional space, the method comprising:

• generating, based on position sensor data received from a position sensor of the input device, an estimated location of the input device relative to a display device that is repeatedly updated as further position sensor data is received;
• determining that the input device is in a home state associated with the display device;
• while the input device is in the home state, determining, with a sensing mechanism of the display device, a home-state location of the input device;
• resetting the estimated location based on the home-state location, such that future updates to the estimated location are based on the reset estimated location;
• and
• controlling the display device based at least on the estimated location of the input device.

A method for tracking a stylus in three-dimensional space, the method comprising:

• generating, based on position sensor data received from a position sensor of the stylus, an estimated location of the stylus that is repeatedly updated as further position sensor data is received;
• determining away-state information associated with the stylus being not in a home state associated with a display device;
• determining that the input device is in the home state;
• while the input device is in the home state, determining, with a sensing mechanism of the display device, a home-state location of the input device;
• resetting the estimated location based on the home-state location, such that future updates to the estimated location are based on the reset estimated location;
• calculating a difference between:
• (a) the home-state location determined by the sensing mechanism when the input device enters the home state and (b) an estimated location of the input device determined prior to resetting the estimated location;
• correlating the away-state information with the calculated difference;
• determining one or more offsets associated with the away-state information based at least on the correlating, the one or more offsets having a value that is based at least on the calculated difference;
• using one or more of the offsets to vary how the position sensor data is used to determine the estimated location;
• and
• controlling the display device based at least on the estimated location of the stylus.