| Constraints on Coplanar Moving Points (2008) | |||||||||||||
Abstract | |||||||||||||
| Configurations of dynamic points in multiple views are interesting to study. In this paper, we present several view and timeindependent constraints on di#erent configurations of points moving on a plane. We show that 4 points with constant independent velocities or accelerations under a#ne projection can be characterized in a view independent manner using 2 views. Under perspective projection, 5 coplanar points under uniform linear velocity observed for 3 time instants in a single view have a view-independent characterization. The best known constraint for this case involves 6 points observed for 35 frames. Under uniform acceleration, 5 points in 5 time instants have a view-independent characterization. We also present constraints on a point undergoing arbitrary planar motion under a#ne projections in the Fourier domain. | |||||||||||||
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