Method of plane tracking
A method of plane tracking comprising: capturing by a camera a reference frame of a given plane from a first angle; capturing by the camera a destination frame of the given plane from a second angle different than the first angle; defining coordinates of matching points in the reference frame and the destination frame; calculating, using the first and second angles, first and second respective rotation transformations to a simulated plane parallel to the given plane; applying an affine transformation between the reference frame coordinate on the simulated plane and the destination frame coordinate on the simulated plane; and applying a projective transformation on the simulated plane destination frame coordinate to calculate the destination frame coordinate.
1. A method comprising:
receiving a reference frame of a given plane from a first angle;
receiving a destination frame of the given plane from a second angle different than the first angle;
determining a set of matching tracking points based on the reference frame and the destination frame;
calculating, using the first angle, a first rotation transformation to a simulated plane parallel to the given plane;
calculating, using the second angle, a second rotation transformation to the simulated plane parallel to the given plane and the second rotation transformation is an inverse rotation transformation;
calculating, based on the set of matching tracking points, an affine transformation between a first set of coordinates of the reference frame on the simulated plane and a second set of coordinates of the destination frame on the simulated plane; and
applying a projective transformation to the simulated plane to calculate a set of destination frame coordinates, the projective transformation comprising:
generating a first result by applying the first rotation transformation to the first set of coordinates of the reference frame;
generating a second result by applying the affine transformation to the first result; and
generating a third result by applying the second rotation transformation to the second result, the third result comprising the set of destination frame coordinates.
2. The method of claim 1 , wherein the reference frame and the destination frame are captured by a same camera.
3. The method of claim 2 , wherein the first angle and the second angle are provided by at least one inertial measurement unit attached to the same camera.
4. The method of claim 1 , wherein the first angle and the second angle are provided by at least one inertial measurement unit attached to a first camera used to capture the reference frame or a second camera user to capture the destination frame.
5. The method of claim 1 , wherein the calculating of the first rotation transformation to the simulated plane to the given plane comprises calculating an Euler angle.
6. The method of claim 1 , wherein the calculating of the second rotation transformation to the simulated plane to the given plane comprises calculating an Euler angle.
7. A device comprising:
a processor configured to perform operations comprising:
receiving a reference frame of a given plane from a first angle;
receiving a destination frame of the given plane from a second angle different than the first angle;
determining a set of matching tracking points based on the reference frame and the destination frame;
calculating, using the first angle, a first rotation transformation to a simulated plane parallel to the given plane;
calculating, using the second angle, a second rotation transformation to the simulated plane parallel to the given plane and the second rotation transformation is an inverse rotation transformation;
calculating, based on the set of matching tracking points, an affine transformation between a first set of coordinates of the reference frame on the simulated plane and a second set of coordinates of the destination frame on the simulated plane; and
applying a projective transformation to the simulated plane to calculate a set of destination frame coordinates, the projective transformation comprising:
generating a first result by applying the first rotation transformation to the first set of coordinates of the reference frame;
generating a second result by applying the affine transformation to the first result; and
generating a third result by applying the second rotation transformation to the second result, the third result comprising the set of destination frame coordinates.
8. The device of claim 7 , wherein the first angle and the second angle are provided by at least one inertial measurement unit attached to a first camera used to capture the reference frame or a second camera user to capture the destination frame.
9. The device of claim 7 , comprising a single camera, the reference frame and the destination frame being captured by the single camera.
10. The device of claim 9 , wherein the first angle and the second angle are provided by at least one inertial measurement unit attached to the single camera.
11. The device of claim 10 , comprising the at least one inertial measurement unit.
12. The device of claim 7 , wherein the calculating of the first rotation transformation to the simulated plane to the given plane comprises calculating an Euler angle.
13. The device of claim 7 , wherein the calculating of the second rotation transformation to the simulated plane to the given plane comprises calculating an Euler angle.