Constraints on Coplanar Moving Points

Abstract. Configurations of dynamic points in multiple views are interesting to study. In this paper, we present several view and timeindependent constraints on different configurations of points moving on a plane. We show that 4 points with constant independent velocities or accelerations under affine 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 affine projections in the Fourier domain. The constraints introduced in this paper involve fewer points or views than similar results reported in the literature and are simpler to compute in mos...

• Type: Conference
• Year: 2004
• Where: ECCV
• Authors: Sujit Kuthirummal, C. V. Jawahar, P. J. Narayanan
• Keywords: Computer Vision, Coplanar Points, Dynamic Points, ECCV 2004, Fewer Points, Planar Point Configurations, Recognition Constraints