Local Fourier phase and disparity estimates: An analytical study

Abstract

This paper concerns local Fourier phase recovery in the context of stereo disparity localization. In occasions where depth information is required, whether absolutely or relatively, a highly desirable property is the availability of disparity estimations tightly connected to the spatial locations. Algorithms using Fourier phase provide a new promising method in this respect, based on the output of bandpass filters such as Gabor filters. As is the case for the other alternative algorithms, however, the estimation depends on the input form as well as the filter form. Based on uncertainty analysis of the filter bandwidth, in this article, effective designs of bandpass filters are pointed out in terms of both disparity localization and the estimation accuracy.