Correlation Image Velocimetry: A Spectral Approach
Résumé
A new method is introduced to evaluate displacement fields from the analysis of a deformed image as compared to a reference one. In contrast to standard methods, which determine a piecewise constant displacement field, the present method gives a direct access to a spectral decomposition of the displacement field. A minimization procedure is derived and used twice; first, to determine an affine displacement field, then the spectral components of the residual displacement. Although the method is applicable to any space dimension, only cases dealing with one dimensional signals are reported: first, a purely synthetic example is discussed to estimate the intrinsic performance of the method, while a second case deals with a profile extracted from a compressed glass wool sample.