Estimating 3D positions and velocities of projectiles from monocular views

Evan Ribnick; Stefan Atev; Nikolaos P. Papanikolopoulos

doi:10.1109/TPAMI.2008.247

Estimating 3D positions and velocities of projectiles from monocular views

Evan Ribnick
, Stefan Atev
, Nikolaos P. Papanikolopoulos

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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 language	English (US)
Pages (from-to)	938-944
Number of pages	7
Journal	IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume	31
Issue number	5
DOIs	https://doi.org/10.1109/TPAMI.2008.247
State	Published - 2009

Bibliographical note

Funding Information:
This work has been supported by the US Department of Homeland Security, the ITS Institute at the University of Minnesota, and the US National Science Foundation (through grants IIS-0219863, CNS-0324864, CNS-0420836, IIP-0443945, IIP-0726109, and CNS-0708344).

Keywords

3D localization
Optimization
Projectile motion

Publisher link

10.1109/TPAMI.2008.247

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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.",

keywords = "3D localization, Optimization, Projectile motion",

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note = "Funding Information: This work has been supported by the US Department of Homeland Security, the ITS Institute at the University of Minnesota, and the US National Science Foundation (through grants IIS-0219863, CNS-0324864, CNS-0420836, IIP-0443945, IIP-0726109, and CNS-0708344).",

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AU - Atev, Stefan

AU - Papanikolopoulos, Nikolaos P.

N1 - Funding Information: This work has been supported by the US Department of Homeland Security, the ITS Institute at the University of Minnesota, and the US National Science Foundation (through grants IIS-0219863, CNS-0324864, CNS-0420836, IIP-0443945, IIP-0726109, and CNS-0708344).

PY - 2009

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N2 - 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.

AB - 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.

KW - 3D localization

KW - Optimization

KW - Projectile motion

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JO - IEEE Transactions on Pattern Analysis and Machine Intelligence

JF - IEEE Transactions on Pattern Analysis and Machine Intelligence

IS - 5

ER -

Estimating 3D positions and velocities of projectiles from monocular views

Abstract

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