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Implementing Total Variation Inpainting (TVI) in COPs?

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Are there any clever cookies out there that would be able to figure out how to implement a Total Variation Inpainting algorithm in COPs??
I found this paper and source code online: http://www.ipol.im/pub/art/2012/g-tvi/ [www.ipol.im]

There's a node in Nuke compositor called TVI Scale that uprezes an image by a factor of 2, and it gives the best all round uprez results I've seen, and it would be amazing to have a similar fancy uprez method using the TVI algorithm in Houdini COPs.

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