Calibration systems and methods for depth-based interfaces with disparate fields of view

A computer-implemented method for calibrating a plurality of sensors, comprising:

• capturing a first pixel image at a primary sensor of at least a portion of the primary sensor's field of view;
• capturing a second pixel image at a first secondary sensor of at least a portion of the first secondary sensor's field of view;
• causing a first display screen to display the first pixel image;
• causing a second display screen to display the second pixel image;
• capturing a first set of depth values associated with a calibration object at the primary sensor when the calibration object is in both the primary sensor's field of view and the first secondary sensor's field of view;
• capturing a second set of depth values associated with the calibration object at the first secondary sensor when the calibration object is in both the primary sensor's field of view and the first secondary sensor's field of view;
• determining a first normal associated with a plane of the calibration object for the first set of depth values;
• determining a first on-plane point associated with the plane of the calibration object for the first set of depth values;
• determining a second normal associated with the plane of the calibration object for the second set of depth values;
• determining a second on-plane point associated with the plane of the calibration object for the second set of depth values;
• generating a first system of linear equations, in part, using a linear equation derived from the first normal and the second normal;
• solving for components of a rotation transform using the first system of linear equations;
• generating a second system of linear equations, in part, using a linear equation derived from the first on-plane point and the second on-plane point;
• and
• solving for components of a translation transform using the second system of linear equations,
• wherein the rotation transform and translation transform move a point from the perspective of the first secondary sensor to the perspective of the primary sensor.

A non-transitory computer-readable medium comprising instructions configured to cause a computer system to perform a method comprising:

• capturing a first set of depth values associated with a calibration object at a primary sensor when the calibration object is in both the primary sensor's field of view and a first secondary sensor's field of view;
• capturing a second set of depth values associated with the calibration object at the first secondary sensor when the calibration object is in both the primary sensor's field of view and the first secondary sensor's field of view;
• determining a first normal associated with a plane of the calibration object for the first set of depth values;
• determining a first on-plane point associated with the plane of the calibration object for the first set of depth values;
• determining a second normal associated with the plane of the calibration object for the second set of depth values;
• determining a second on-plane point associated with the plane of the calibration object for the second set of depth values;
• generating a first system of linear equations, in part, using a linear equation derived from the first normal and the second normal;
• solving for components of a rotation transform using the first system of linear equations;
• generating a second system of linear equations, in part, using a linear equation derived from the first on-plane point and the second on-plane point;
• and
• solving for components of a translation transform using the second system of linear equations,
• wherein the rotation transform and translation transform move a point from the perspective of the first secondary sensor to the perspective of the primary sensor.