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Updated: Jun 24, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Estimating 3D positions and velocities of projectiles from monocular views
Evan Ribnick1, Stefan Atev, Nikolaos P Papanikolopoulos
1Department 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.
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.
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