We consider the simultaneous estimation of an optical flow field and an illumination source term in a movie sequence. The particular optical flow equation is obtained by assuming that the image intensity is a conserved quantity up to possible sources and sinks which represent varying illumination. We formulate this problem as an energy minimization problem and propose a space-time simultaneous discretization for the optimality system in saddle-point form. We investigate a preconditioning strategy that renders the discrete system well-conditioned uniformly in the discretization resolution. Numerical experiments complement the theory.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4567080 | PMC |
| http://dx.doi.org/10.1016/j.apnum.2015.04.007 | DOI Listing |
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