METHODS AND SYSTEMS FOR OBJECT TRAJECTORY RECONSTRUCTION
Methods and systems for object trajectory reconstruction are disclosed. The methods and systems perform steps of first, receiving an input monocular video captured by a mobile computing device, and a camera projection matrix. Next, extracting a 2D trajectory of an object in an image plane of the input monocular video, and a posture of a user shooting the object along the 2D trajectory. Next, estimating a feasible shooting direction from the user posture and generating an on-ground projection line based on the feasible shooting direction and the 2D trajectory. Lastly, generating a 3D object trajectory based on the 2D trajectory, the on-ground projection line, and the camera projection matrix. Some embodiments of the present invention enable a resource-limited mobile device, such as a smartphone, to efficiently perform this method. Also disclosed are benefits of the new methods, and alternative embodiments of implementation.
1 . A non-transitory physical storage medium for reconstructing a 3D object trajectory, the storage medium comprising program code stored thereon, the program code when executed by a processor causes the processor to:
receive an input monocular video captured by a mobile computing device, and a camera projection matrix;
extract, from the input monocular video, a 2D trajectory of an object in an image plane of the input monocular video, and a posture of a user shooting the object along the 2D trajectory;
estimate, from the posture of the user, a feasible shooting direction;
generate an on-ground projection line based on the feasible shooting direction and the 2D trajectory, wherein the on-ground projection line comprises a plurality of projection points representing the object's in-air positions projected onto a ground plane; and
generate the 3D object trajectory, based on the 2D trajectory, the on-ground projection line, and the camera projection matrix.
2 . The non-transitory physical storage medium of claim 1 , wherein the program code to generate the 3D object trajectory comprises code to determine, for each projection point, a height of the object in-air, by comparing a projection of a proposed 3D location of the object to the projection point.
3 . The non-transitory physical storage medium of claim 2 , wherein the program code further causes the processor to:
sample the 3D object trajectory at a plurality of 3D points;
back-project the plurality of 3D points to the image plane of the input monocular video to generate a plurality of back-projected points, using the camera projection matrix; and
validate the 3D object trajectory, by comparing a distance between the back-projected points and corresponding points sampled from the 2D trajectory.
4 . The non-transitory physical storage medium of claim 2 , wherein the height of the object in-air is determined by a search algorithm.
5 . The non-transitory physical storage medium of claim 1 , wherein the user shoots the object into the air with a striking tool, and wherein the posture of the user comprises a posture of the striking tool.
6 . The non-transitory physical storage medium of claim 1 , wherein the program code further causes the processor to:
detect a goal, using an artificial intelligence module, by detecting one or more feature points of the goal from the input monocular video, wherein the feasible shooting direction is directed towards the goal.
7 . The non-transitory physical storage medium of claim 6 , wherein the program code further causes the processor to:
determine whether a minimum distance between the goal and the 3D trajectory is below a given threshold.
8 . The non-transitory physical storage medium of claim 1 , wherein the on-ground projection line is associated with a speed of the object.