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Grid warping in total variation image enhancement methods

An approach of including warping algorithms into total variation image enhancement methods is suggested. The idea of warping is to make edges sharper using pixel grid transform so that the pixels near edges move closer to the edges. The advantage of using warping approach is that the change of the total variation value is small, so it can be used to improve the results of total variation image enhancement methods like deblurring, deringing and resampling.