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Here are some examples that I have on hand, where lambda (the fidelity weight, not the regulation weight i.e. bigger lambda <==> less importance on the regulation, so we are looking for a smaller lambda than what we used above) is 5, 10 and 15 instead of their value of 50: 5: postimg.org/image/gvssnjt93 10: postimg.org/image/mqfgf1qvt 15: postimg.org/image/mjw236p3t With 5 we see a more homogeneous flow, but it has all the detail cut out. As we increase lambda we get some detail back, but then we lose the homogeneity. Excellent idea, but not the solution.
Thanks for your suggestion. I am in fact rescaling the images to the [-1,1] interval. Moreover, I've tried varying weights for the regulation term and while it does have a similar effect to the case above, it isn't the culprit because it doesn't solve the problem - it "smoothes" out the flow by weighing the regulation more and ends up changing the shapes. I'll post some examples when I can, maybe tomorrow. Although excellent insight nonetheless.
@ChristianClason, I haven't tried contacting the authors, I assume they'll shrug me off thinking I've made a mistake in my implementation. Maybe it's worth a try. I'll look at their toolbox more closely, but their code looks difficult to read from first glance. Will report back if I make any progress. Thanks.