In this paper, we present a local approach to the computation of raw optical flow fields based on nonlinear relaxation, which is explicitly designed to be coupled with a nonlinear vector filtering technique so as to achieve an effective rejection of the outliers. We derive the approach from a standard linear algorithm—the one-dimensional least squares. This is split down into two steps. First, the linear algorithm is formulated as an iterative procedure, in which image points in a suitable geometric neighborhood are made to interact each other. Second, a nonlinearity term in the elementary interaction between neighbors is added, which depends on the Gaussian interaction of elements of a velocity neighborhood. The results of a comparison with two linear local techniques show clearly the effectiveness of the approach, both in terms of motion boundary preservation and of optical flow field density.
Optical flow by nonlinear relaxation / COLOMBO Carlo; DEL BIMBO Alberto; SANTINI Simone. - In: PATTERN RECOGNITION. - ISSN 0031-3203. - STAMPA. - 28:(1995), pp. 977-988. [10.1016/0031-3203(94)00144-B]
Optical flow by nonlinear relaxation
COLOMBO Carlo
;DEL BIMBO Alberto;
1995
Abstract
In this paper, we present a local approach to the computation of raw optical flow fields based on nonlinear relaxation, which is explicitly designed to be coupled with a nonlinear vector filtering technique so as to achieve an effective rejection of the outliers. We derive the approach from a standard linear algorithm—the one-dimensional least squares. This is split down into two steps. First, the linear algorithm is formulated as an iterative procedure, in which image points in a suitable geometric neighborhood are made to interact each other. Second, a nonlinearity term in the elementary interaction between neighbors is added, which depends on the Gaussian interaction of elements of a velocity neighborhood. The results of a comparison with two linear local techniques show clearly the effectiveness of the approach, both in terms of motion boundary preservation and of optical flow field density.File | Dimensione | Formato | |
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