Trajectory triangulation: 3D reconstruction of moving points from a monocular image sequence
- 1 April 2000
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 22 (4) , 348-357
- https://doi.org/10.1109/34.845377
Abstract
We consider the problem of reconstructing the 3D coordinates of a moving point seen from a monocular moving camera, i.e., to reconstruct moving objects from line-of-sight measurements only. The task is feasible only when some constraints are placed on the shape of the trajectory of the moving point. We coin the family of such tasks as "trajectory triangulation." We investigate the solutions for points moving along a straight-line and along conic-section trajectories, We show that if the point is moving along a straight line, then the parameters of the line (and, hence, the 3D position of the point at each time instant) can be uniquely recovered, and by linear methods, from at least five views. For the case of conic-shaped trajectory, we show that generally nine views are sufficient for a unique reconstruction of the moving point and fewer views when the conic is of a known type (like a circle in 3D Euclidean space for which seven views are sufficient). The paradigm of trajectory triangulation, in general, pushes the envelope of processing dynamic scenes forward. Thus static scenes become a particular case of a more general task of reconstructing scenes rich with moving objects (where an object could be a single point).Keywords
This publication has 7 references indexed in Scilit:
- Trajectory triangulation of lines: reconstruction of a 3D point moving along a line from a monocular image sequencePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Estimation with bilinear constraints in computer visionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- On the geometry and algebra of the point and line correspondences between N imagesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Trajectory triangulation over conic sectionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1999
- Statistical bias of conic fitting and renormalizationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1994
- Computing the antipenumbra of an area light sourceACM SIGGRAPH Computer Graphics, 1992
- Fitting conic sections to scattered dataComputer Graphics and Image Processing, 1979