3D Trajectory Reconstruction under Perspective Projection

@article{Park20153DTR,
  title={3D Trajectory Reconstruction under Perspective Projection},
  author={Hyun Soo Park and Takaaki Shiratori and Iain A. Matthews and Yaser Sheikh},
  journal={International Journal of Computer Vision},
  year={2015},
  volume={115},
  pages={115-135}
}
We present an algorithm to reconstruct the 3D trajectory of a moving point from its correspondence in a collection of temporally non-coincidental 2D perspective images, given the time of capture that produced each image and the relative camera poses at each time instant. Triangulation-based solutions do not apply, as multiple views of the point may not exist at each time instant. We represent a 3D trajectory using a linear combination of compact trajectory basis vectors, such as the discrete… CONTINUE READING
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