Cartoon-Texture-Noise Decomposition with Transport Norms

Conference paper

DOI: 10.1007/978-3-319-18461-6_12

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9087)
Cite this paper as:
Brauer C., Lorenz D. (2015) Cartoon-Texture-Noise Decomposition with Transport Norms. In: Aujol JF., Nikolova M., Papadakis N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2015. Lecture Notes in Computer Science, vol 9087. Springer, Cham


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.


Image decomposition Texture Optimal transport Oscillating patterns 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institut für Analysis und AlgebraTU BraunschweigBraunschweigGermany

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