Issue No. 05 - May (2009 vol. 31)
Nikolaos P. Papanikolopoulos , University of Minnesota, Minneapolis
Stefan Atev , University of Minnesota, Minneapolis
Evan Ribnick , University of Minnesota, Minneapolis
In this paper, we consider the problem of localizing a projectile in 3D based on its apparent motion in a stationary monocular view. A thorough theoretical analysis is developed, from which we establish the minimum conditions for the existence of a unique solution. The theoretical results obtained have important implications for applications involving projectile motion. A robust, nonlinear optimization-based formulation is proposed, and the use of a local optimization method is justified by detailed examination of the local convexity structure of the cost function. The potential of this approach is validated by experimental results.
3D localization, optimization, projectile motion.
Nikolaos P. Papanikolopoulos, Stefan Atev, Evan Ribnick, "Estimating 3D Positions and Velocities of Projectiles from Monocular Views", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 31, no. , pp. 938-944, May 2009, doi:10.1109/TPAMI.2008.247