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1 2006

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Dense depth map reconstruction by phase difference-based algorithm under influence of perspective distortion

El-Etriby S., Al-Hamadi A., Michaelis B.

Machine Graphics and Vision

2006

Vol. 15, No. 3/4

349-361

This paper describes a novel phase difference-based algorithm applied to the corresponding points in two views, which takes into account the surface perspective distortion (foreshortening). The challenges arise from the fact that stereo images are acquired from slightly different views. Therefore, the surface of a projected image is more compressed and occupies a smaller area in one view. Since the projective distortion region can not be estimated in terms of a fixed-size matching algorithm, we suggest using a local spatial frequency representation model to address this problem. Instead of matching intensities directly, a Gabor scale-space expansion (scalogram) is used. The scalogram expresses the filter output as a function of the spatial position and the principal wavelength to which the filter is tuned. The phase difference at the corresponding points in the two images is used to find the disparity value. The suggested algorithm provides an analytical closed-form expression for the perspective foreshortening effect. The foreshortening factor is verified to overcome the perspective distortion region. The efficiency and performance of the suggested algorithm for dense depth map reconstruction is demonstrated on the basis of analysis of rectified real images. Hence, our proposed method has a superior performance in comparison with other conventional methods.