Cartoon-Texture-Noise Decomposition with Transport Norms
We investigate the problem of decomposing an image into three parts, namely a cartoon part, a texture part and a noise part. We argue that norms originating in the theory of optimal transport should have the ability to distinguish certain noise types from textures. Hence, we present a brief introduction to optimal transport metrics and show their relation to previously proposed texture norms. We propose different variational models and investigate their performance.
KeywordsImage decomposition Texture Optimal transport Oscillating patterns
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