Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T17:03:14.178Z Has data issue: false hasContentIssue false
  • English
  • Français

Spectral approach to displacement evaluation from image analysis

Published online by Cambridge University Press:  15 March 2002

B. Wagne ,
S. Roux  and
F. Hild
B. Wagne
Affiliation:
Laboratoire “Surface du Verre et Interfaces”, UMR CNRS/Saint-Gobain, 39 quai L. Lefranc, 93303 Aubervilliers Cedex, France
S. Roux*
Affiliation:
Laboratoire “Surface du Verre et Interfaces”, UMR CNRS/Saint-Gobain, 39 quai L. Lefranc, 93303 Aubervilliers Cedex, France
F. Hild
Affiliation:
LMT-Cachan, ENS de Cachan/UMR CNRS/Université Paris 6, 61 avenue du Président Wilson, 94235 Cachan Cedex, France
*
[email protected]
Get access

Abstract

A new approach to determine the displacement field between a reference and a deformed image is introduced. The method is based on a spectral decomposition of the displacement field which is determined through a multi-scale approach. The method is tested here on an artificial example by using computer-generated images devoid of boundary effects (i.e., periodic boundary conditions are used in the image texture and displacement field). The performance of the proposed algorithm allows for the determination of the prescribed displacement field up to machine precision, for a strain field whose trace extends from −50% to 40% with a root-mean-square average of 15%, within sub-minute runs on a standard PC.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 17 , Issue 3 , March 2002 , pp. 247 - 252
Copyright
© EDP Sciences, 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

P.J. Burt, C. Yen, X. Xu, Local correlation measures for motion analysis: a Comparative study, in Proc. of the Conf. on Pattern Recognition and Image Processing (Las Vegas, 1982), p. 269.
Sutton, M.A., Wolters, W.J., Peters, W.H., Ranson, W.F., McNeill, S.R., Im. Vis. Comp. 1, 133 (1983). CrossRef
A. Lagarde, Advanced Optical Methods and Applications in Solid Mechanics, in: Solid Mechanics and its Applications (Kluwer, Dordrecht, The Netherlands, 2000), Vol. 82.
P.K. Rastogi, Photomechanics, in: Topics in Applied Physics (Springer, Berlin, Germany, 2000), Vol. 77.
W. Merzkirch, Flow Visualization (Academic, New York, USA, 1987).
Dudderar, T.D., Simpkins, P.G., Nature 270, 45 (1977). CrossRef
Pickering, C.J.D., Halliwell, N.A., Appl. Opt. 23, 1129 (1984).
Horn, B.K.P., Schunck, B.G., Artif. Intell. 17, 185 (1981). CrossRef
Mitiche, A., Bouthemy, P., Int. J. Comp. Vision. 19, 29 (1996). CrossRef
P.J. Hubert, Robust Statistics (Wiley, New York, USA, 1981).
M. Black, Robust Incremental Optical Flow, Ph.D. dissertation, Yale University, 1992.
Odobez, J.-M., Bouthemy, P., J. Visual Comm. Image Repres. 6, 348 (1995). CrossRef
Bogen, D., Rahdert, D., IEEE Trans. Pattern Anal. Machine Intell. 18, 629 (1996). CrossRef
DeCarlo, D., Metaxas, D., Int. J. Comp. Vision. 38, 99 (2000). CrossRef
S. Mguil, F. Morestin, M. Brunet, Mesure des déformations par corrélation directe d'images numériques, in Proceedings Photomécanique 98, edited by Y. Berthaud, M. Cottron, F. Morestin, P. Moucheront, M. Taroni (GAMAC, 1998), p. 361.
M.A. Sutton, S.R. McNeill, J.D. Helm, Y.J. Chao, Advances in Two-Dimensional and Three-Dimensional Computer Vision, in: Photomechanics, edited by P.K. Rastogi (Springer, Berlin, Germany, 2000), p. 323.
Tokumaru, P., Dimotakis, P., Exp. Fluids 19, 1 (1995). CrossRef
Roux, S., Hild, F., Berthaud, Y., Appl. Optics 41, 108 (2002). CrossRef
C. Bernard, Ondelettes et problèmes mal posés : la mesure du flot optique et l'interpolation irrégulière, Ph.D. dissertation, École Polytechnique, 2001.
J. Feder, Fractals (Plenum Press, New York, USA, 1988).
Chevalier, L., Calloch, S., Hild, F., Marco, Y., Eur. J. Mech. A/Solids 20, 169 (2001). CrossRef
F. Hild, B. Raka, M. Baudequin, S. Roux, F. Cantelaube, Multi-Scale Displacement Field Measurements of Compressed Mineral Wool Samples by Digital Image Correlation, submitted for publication (2001).