title: Estimating 3D positions and velocities of projectiles from monocular views.
abstract: 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.
authors.affiliation: Department of Computer Science and Engineering, University of Minnesota, EE/CSci 4-192, 200 Union St. SE, Minneapolis, MN 55455, USA. {ribnick, atev, npapas}@cs.umn.edu.
authors.forename: Evan
authors.initials: E
authors.lastname: Ribnick
authors.forename: Stefan
authors.initials: S
authors.lastname: Atev
authors.forename: Nikolaos P
authors.initials: NP
authors.lastname: Papanikolopoulos
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008954:Models, Biological; D009038:Motion; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity