Estimating 3D positions and velocities of projectiles from monocular views

Evan Ribnick, Stefan Atev, Nikolaos P Papanikolopoulos

Research output: Contribution to journalArticle

25 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)938-944
Number of pages7
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Volume31
Issue number5
DOIs
StatePublished - Apr 23 2009

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Projectile
Projectiles
Local Optimization
Motion
Nonlinear Optimization
Unique Solution
Cost functions
Cost Function
Optimization Methods
Convexity
Theoretical Analysis
Formulation
Experimental Results

Keywords

  • 3D localization
  • Optimization
  • Projectile motion

Cite this

Estimating 3D positions and velocities of projectiles from monocular views. / Ribnick, Evan; Atev, Stefan; Papanikolopoulos, Nikolaos P.

In: IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 31, No. 5, 23.04.2009, p. 938-944.

Research output: Contribution to journalArticle

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