Simultaneous Higher-Order Optical Flow Estimation and Decomposition

  • Authors:
  • Jing Yuan;Christoph Schörr;Gabriele Steidl

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 2007

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Abstract

We study the estimation and decomposition of optical flows from highly nonrigid motions. To this end, recent methods from image decomposition into structural and textural parts are combined with variational optical flow estimation. The approaches we suggest amount to minimizing discrete convex functionals using second-order cone programming. Higher-order regularization is necessary in order to accurately recover important flow structure like vortices, and to incorporate key physical properties such as vanishing divergence. For proper discretization, we apply the finite mimetic difference method, which preserves the identities fulfilled by the continuous differential operators. Numerical examples demonstrate the feasibility of the complex approaches.