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Optical flow is a velocity vector which represents the motion of objects in video images. Optical flow estimation is difficult in the neighborhood of flow boundary. To resolve this problem, Sasagawa (2014) proposes a modified dynamical system model in which one assumes that, in the neighborhood of flow boundaries, the brightness flows in the perpendicular direction, and considers the resulting corrections to the brightness constancy constraint. However, in that model, the correction is occurred even in place where the flow is continuous. We propose a new model, which switches the conventional model and the proposed model in Sasagawa (2014). As a result, we expect improvement of the estimate accuracy in place where the flow is continuous. We conduct numerical experiments to investigate the improvements that the proposed model yields in the estimation accuracy of optical flows.

Simultaneous Estimation of Optical Flow and Its Boundaries based on the Dynamical System Model