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A Variational Model for Histogram Transfer of Color Images

Nicolas Papadakis 1 Edoardo Provenzi 2 Vicent Caselles 3
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK [2007-2015] - Laboratoire Jean Kuntzmann [2007-2015], Grenoble INP [2007-2019] - Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019]
Abstract : In this paper, we propose a variational formulation for histogram transfer of two or more color images. We study an energy functional composed by three terms: one tends to approach the cumulative histograms of the transformed images, the other two tend to maintain the colors and geometry of the original images. By minimizing this energy, we obtain an algorithm that balances equalization and the conservation of features of the original images. As a result, they evolve while approaching an intermediate histogram between them. This intermediate histogram does not need to be specified in advance, but it is a natural result of the model. Finally, we provide experiments showing that the proposed method compares well with the state of the art.
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Submitted on : Thursday, May 26, 2011 - 1:47:08 PM
Last modification on : Friday, July 17, 2020 - 11:38:57 AM




Nicolas Papadakis, Edoardo Provenzi, Vicent Caselles. A Variational Model for Histogram Transfer of Color Images. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2011, 20 (6), pp.1682-1695. ⟨10.1109/TIP.2010.2095869⟩. ⟨hal-00596053⟩



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