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Updated: Apr 1, 2026

Blood Flow Imaging with Ultrafast Doppler
Published on: October 14, 2020
Simultaneous optical flow and source estimation: Space-time discretization and preconditioning
R Andreev1, O Scherzer2, W Zulehner3
1RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040 Linz, Austria.
Abstract:
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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