Combine Orientation Tracking Techniques of Different Data Rates to Generate Inputs to a Computing System

A system to combine inertial-based measurements and optical-based measurements via a Kalman-type filter. For example, a sensor module uses an inertial measurement unit to generate first positions and first orientations of the sensor module at a first time interval during a first period of time containing multiple of the first time interval. At least one camera is used to capture images of the sensor module at a second time interval, larger than the first time interval, during the first period of time containing multiple of the second interval. Second positions and second orientations of the sensor module during the first period of time are computed from the images. The filter receives the first positions, the first orientations, the second positions, and the second orientations to generate estimates of position and orientation of the sensor module at a time interval no smaller than the first time interval.