Optimal Control Formulation for Determining Optical Flow

Authors:
Alfio Borzì;Kazufumi Ito;Karl Kunisch
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2002

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Abstract

An optimal control formulation for determining optical flow is presented. The new framework differs from preceding approaches in that it does not require differentiation of the data and does combine optical flow with image reconstruction. It can be considered as a control-in-the-coefficients problem with a cost functional of tracking type. A numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented. Numerical experiments demonstrate the effectiveness of the optimal control approach.