We present a method to automatically select the regularization parameter in the two-term compound cost function used in image registration. Our method is called CFS (Constant Flow Sampling). It samples the regularization parameter using the constraint that the warpinduced image flow be of constant magnitude on average. Compared to other methods, CFS provably provides a global solution at a specified precision and within a finite number of steps. CFS can be embedded within any algorithm minimizing a two-term compound cost function depending on a regularization parameter. We report experimental results on the registration of several datasets of laparoscopic images.
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