Affine Invariant Total Variation Models

A. Balinsky and H. Balinsky (UK)


Total variation, denoising, affine invariant.


Since their introduction in a classical paper by Rudin, Osher and Fatemi [2], total variation minimizing models have become one of the most popular and successful tools for image restoration. Unfortunately, the total variation functional is not invariant under general affine transformation. Invariance under affine transformation is very important for many image processing tasks. In this paper we introduce a new affine invariant regularization functional which has many properties similar to total variation and can be used for affine invariant denoising and restoration tasks.

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