Estimation of movement parameters of 3D textured surfaces using the autocorrelation function

Authors:
Jacques Brochard;Majdi Khoudeir
Affiliations:
IRCOM-SIC, UMR-CNRS 6615 Bâtiment SP2MI, Bvd Marie et Pierre Curie, BP 31079, 86962 Futuroscope Cedex, France;IRCOM-SIC, UMR-CNRS 6615 Bâtiment SP2MI, Bvd Marie et Pierre Curie, BP 31079, 86962 Futuroscope Cedex, France
Venue:
Pattern Recognition Letters
Year:
2003

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Abstract

We present a new method for computing the movement parameters of textured surfaces moving in a three dimensional environment. This method is based on the fact that the autocorrelation functions of an image and of its affine transformed version are linked by the same affine transformation applied to their axes. We use the Euler's angles and the weak perspective projection. We show how to compute directly the movement parameters by means of fourth-degree polynomials which model outlines extracted from the autocorrelation function. Experimental results are presented which support the effectiveness of the proposed approach.