A Variational Model for Histogram Transfer of Color Images

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 orig...

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Bibliographic Details
Published in:IEEE transactions on image processing 2011-06, Vol.20 (6), p.1682-1695
Main Authors: Papadakis, N, Provenzi, E, Caselles, V
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Color
Colorimetry - methods
Computer Science
Computer Simulation
Data Interpretation, Statistical
Detection, estimation, filtering, equalization, prediction
Electronic mail
Energy conservation
Engineering Sciences
Equalization
Exact sciences and technology
Facsimile
Histograms
Image color analysis
Image Enhancement - methods
Image Interpretation, Computer-Assisted - methods
Image Processing
Information, signal and communications theory
Intermediate histogram equalization
Mathematical models
Models, Statistical
Reproducibility of Results
Sensitivity and Specificity
Signal and communications theory
Signal and Image Processing
Signal processing
Signal, noise
State of the art
Telecommunications and information theory
Transforms
Transportation
variational techniques
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Summary: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.
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2010.2095869