Optimal extended optical flow and statistical constraints: A result of convergence

  • Authors:
  • Patrick Clarysse;Martine Picq;Jérôme Pousin

  • Affiliations:
  • CREATIS-LNM INSA de Lyon, UMR CNRS 5008, bat. B. Pascal, France;Institut C. Jordan INSA de Lyon, UMR CNRS 5208, bat. L. de Vinci, 20 Av. A. Einstein, F-69100 Villeurbanne Cedex, France;Institut C. Jordan INSA de Lyon, UMR CNRS 5208, bat. L. de Vinci, 20 Av. A. Einstein, F-69100 Villeurbanne Cedex, France

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

This work was motivated by the necessity of defining and computing a solution @r of a transport equation (1)@?"t@r+v@?@?"x@r=f(t,x,@r). subject to a non-convex pointwise constraint @r@?C. For when the velocity v is a regular function and when f is a Lipschitz function, in [9] sufficient conditions are given for the solution to the transport equation (15) to satisfy such a constraint. In this paper an algorithm for computing a relaxed solution is investigated.