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Functionals Smin and Sreg are invariant to image level and discretization. For illustration, consider a 2D model depicted in this figure. Model has a non-zero domain in the middle. Left panel, shows case with 100 pixels and 4 non-zeros. Functional values for this model are Smin=0.04 and Sreg=1. Right panel, same case with finer discretization, 400 pixels and 16 non-zero values.
