Optimal Control Formulation for Determining Optical Flow

  title={Optimal Control Formulation for Determining Optical Flow},
  author={Alfio Borz{\`i} and Kazufumi Ito and Karl Kunisch},
  journal={SIAM J. Scientific Computing},
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-thecoefficients 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… CONTINUE READING
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