| TR#: | CIS-2006-05 |
| Class: | CIS |
| Title: | Over-Parameterized Variational Optical Flow |
| Authors: | Tal Nir , Alfred M. Bruckstein , Ron Kimmel |
| CIS-2006-05.pdf | |
| Abstract: | We introduce a novel optical flow estimation process based on a spatio-temporal model with varying coefficients multiplying a set of basis functions at each pixel. Previous optical flow estimation methodologies did not use such an over parameterized representation of the flow field as the problem is ill-posed even without introducing any additional parameters: Neighborhood based methods like Lucas-Kanade determine the flow in each pixel by constraining the flow to to be constant in a small area. Modern variational methods represent the optic flow directly via its x and y components at each pixel. The benefit of over-parametrization becomes evident in the smoothness term, which instead of directly penalizing for changes in the optic flow, integrates a cost on the deviation from the assumed optic flow model. Previous variational optical flow techniques are special cases of the proposed method, used in conjunction with a constant flow basis function. Experimental results with the novel flow estimation process yielded significant improvements with respect to the best results published so far. |
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