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Robust Optical Flow Estimation in Cardiac Ultrasound Images Using a Sparse Representation

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Fig. 1. Weights associated with different M-estimator functions. where c > 0 is also a constant and σ > 0 a scale parameter.
Fig. 2. Estimated horizontal (top) and vertical (bottom) motion fields (in pixels) using the non-robust (a,b) , robust spatial regularization only (c,d) , robust data fidelity only (e,f) and fully robust (g,h) formulations.
Fig. 4. Synthetic cardiac image and its sparse weights W , spatial weights
Fig. 9. Weights for two examples of in vivo images obtained for two different patients
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