Spectral approach to displacement evaluation from image analysis

¹ Laboratoire “Surface du Verre et Interfaces”, UMR CNRS/Saint-Gobain, 39 quai L. Lefranc, 93303 Aubervilliers Cedex, France
² LMT-Cachan, ENS de Cachan/UMR CNRS/Université Paris 6, 61 avenue du Président Wilson, 94235 Cachan Cedex, France

Corresponding author: stephane.roux@saint-gobain.com

Received: 23 August 2001
Revised: 21 December 2001
Accepted: 7 January 2002
Published online: 15 March 2002

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.