Wednesday, November 30, 2016

[rzagbygj] Warping an image

Smoothly warp an image.  This is probably a diffeomorphism, a very practical one.  Can arbitrary diffeomorphisms be approximated by combining simpler objects like the way splines can approximate arbitrary curves and surfaces?

Consider a vector field joining  the "before" and "after" location of each pixel.  Approximate small patches of the vector field (somehow) by discretely sampling it and interpolating a function over the patch, then glue these patches together in a way that preserves smoothness.

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