Histograms of images valued in the manifold of colours endowed with perceptual metrics

Abstract : We address here the problem of perceptual colour histograms. The Riemannian structure of perceptual distances is measured through standards sets of ellipses, such as Macadam ellipses. We propose an approach based on local Euclidean approximations that enables to take into account the Riemannian structure of perceptual distances, without introducing computational complexity.
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Emmanuel Chevallier, Ivar Farup, Jesus Angulo. Histograms of images valued in the manifold of colours endowed with perceptual metrics. Second International Conference on Networked Geometric Science of Information, GSI 2015, Oct 2015, Palaiseau, France. ⟨10.1007/978-3-319-25040-3_81⟩. ⟨hal-01121213⟩

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