Abstract
In this communication, we show that two simple assumptions on the covariances matrices of color images, namely stationarity and commutativity, can explain the observed shape of decorrelated spatiochromatic elements (bases obtained by PCA) of natural color images. The validity of these assumptions is tested on a large database of RAW images. Our experiments also show that the spatiochromatic covariance decays exponentially with the spatial distance between pairs of pixels and not as a power law as it is commonly assumed.
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