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Quantification of the uncertainties of high-speed camerameasurements

Published online by Cambridge University Press:  09 October 2014

C. Robbe ,
N. Nsiampa ,
A. Oukara  and
A. Papy
C. Robbe*
Affiliation:
Royal Military Academy, Department of Weapons Systems and Ballistics, 30 avenue de la Renaissance, 1000 Brussels, Belgium University of Liège (ULg), Aerospace & Mechanical Engineering Department (LTAS), 1, Chemin des Chevreuils, 4000 Liège, Belgium
N. Nsiampa
Affiliation:
Royal Military Academy, Department of Weapons Systems and Ballistics, 30 avenue de la Renaissance, 1000 Brussels, Belgium University of Liège (ULg), Aerospace & Mechanical Engineering Department (LTAS), 1, Chemin des Chevreuils, 4000 Liège, Belgium
A. Oukara
Affiliation:
Royal Military Academy, Department of Weapons Systems and Ballistics, 30 avenue de la Renaissance, 1000 Brussels, Belgium University of Liège (ULg), Aerospace & Mechanical Engineering Department (LTAS), 1, Chemin des Chevreuils, 4000 Liège, Belgium Polytechnic Military School of Algiers (EMP), Algeria, 5 Bordj El Bahri, Algiers, Algeria
A. Papy
Affiliation:
Royal Military Academy, Department of Weapons Systems and Ballistics, 30 avenue de la Renaissance, 1000 Brussels, Belgium
*
⋆ Correspondence:[email protected]
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Abstract

This article proposes a combined theoretical and experimental approach to assess andquantify the global uncertainty of a high-speed camera velocity measurement. The study isdivided in five sections: firstly, different sources of measurement uncertaintiesperformed by a high-speed camera are identified and quantified. They consist ofgeometrical uncertainties, pixel discretisation uncertainties or optical uncertainties.Secondly, a global uncertainty factor, taking into account the previously identifiedsources of uncertainties, is computed. Thirdly, a sensibility study of the camera set-upparameters is performed, allowing the experimenter to optimize these parameters in orderto minimize the final uncertainties. Fourthly, the theoretical computed uncertainty iscompared with experimental measurements. Good concordance has been found. Finally, thevelocity measurement uncertainty study is extended to continuous displacement measurementsas a function of time. The purpose of this article is to propose all the mathematicaltools necessary to quantify the individual and global uncertainties, to highlight theimportant aspects of the experimental set-up, and to give recommendations on how toimprove a specific set-up in order to minimize the global uncertainty. Taking all theseinto account, it has been shown that highly dynamic phenomena such as a ballisticphenomenon can be measured using a high-speed camera with a global uncertainty of lessthan 2%.

Keywords

High-speed camerauncertaintiesvelocity measurementdisplacement measurementballistics
Type
Research Article
Information
International Journal of Metrology and Quality Engineering , Volume 5 , Issue 2 , 2014 , 201
Copyright
© EDP Sciences 2014

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References

Working group 1 of the Joint Committee for Guides in Metrology, JCGM100: 2008 évaluation des données de mesure - Guide pour l’expression de l’incertitude de mesure (2008)
C. Robbe, Évaluation experimentale de l’impact thoracique des projectiles non-létaux – Experimental Evaluation of the thoracic impact of non-lethal projectiles (Royal Military Academy (RMA), Université de Liège (ULg), 2013)
Photron, FAS TCAM S A 5 Specifications?: Partial Frame Rate/Recording Duration Table (2013), http://www.photron.com/datasheet/FASTCAM˙SA5.pdf
S. IVP, Machine Vision Introduction 206AD (2013), www.sick.com
C. Robbe, N. Nsiampa, A. Papy, A. Oukara, Practical considerations for using high-speed camera to measure dynamic deformation occurring at the impact of a kinetic energy non-lethal weapon projectile on ballistic simulant, in PASS 2012: Behind Armour Blunt Trauma
V. Nalwa, Outwardly Pointing Cameras, Tech Report from FullView.inc., Nuremberg, Germany, 2012, http://www.fullview.com/Outwardly˙Pointing˙Cameras.pdf (2013)
J. Bouguet, Visual methods for Three-dimensional modeling (California Institute of Technology, 1999)
O. Faugeras, Three-Dimensional Computer vision (MIT Press, Cambridge, 1993)
R. Hartley, A. Zisserman, Multiple View Geometry in Computer Vision (Cambridge Univsersity Press, 2004)
Y. Morvan, Acquisition, Compression and Rendering of Depth and Texture for Multi-View Video (Eindhoven University of Technology, 2009)
G. Bebis, Computer Vision (2013), http://www.cse.unr.edu/˜bebis/
J. Bouguet, Camera Calibration Toolbox for Matlab, California Institute of Technology (2013), http://www.vision.caltech.edu/bouguetj/calib˙doc/
M. Maldague, Contrôle des bases de vitesses de 0,25 m, Internal Report (available by the authors, 2012)
E.D. Feigelson, G.J. Babu, in Modern Statistical Methods for Astronomy: With R Applications (Cambridge University Press, 2012), p. 490
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, in Numerical Recipes: The Art of Scientific Computing, 3rd edn. (Cambridge University Press, 2007), p. 1256
C. Robbe, N. Nsiampa, A. Papy, A. Oukara, Practical considerations for using high-speed camera to measure dynamic deformation occurring at the impact of a kinetic energy non-lethal weapon projectile on ballistic simulant, in Personal Armour System Symposium (PASS) Conference Proceedings, Nuremberg, Germany, 2012
Tellinghuisen, J., Statistical error propagation, J. Phys. Chem. A 105, 3917–3921 (2001) CrossRefGoogle Scholar
Solamen, Incertitude Sensibilité, Descriptif des pratiques dans l’industrie – Préconisations pour l’analyse thermique bâtiment (2011)