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Volume: 4 | Article ID: art00126
Image Color Mapping and Clustering in Luma/Chroma Fundamental Color Space
  DOI :  10.2352/CGIV.2008.4.1.art00126  Published OnlineJanuary 2008

Human vision extracts the visible spectral component C*, called fundamental, from n-dimensional spectrum C. The projection from C to C* is described by the matrix R in FCS (Fundamental Color Space). FCS is spanned by a matrix F with a selected triplet in R. The matrix R is decomposed into “achromatic” RA and “chromatic” RC by choosing matrix F.This paper presents a Luma/Chroma opponent-color space that is created from spectral decomposition of fundamental based on matrix R theory. A new color space has orthogonal opponent-color axes with hue linearity because it's created through a linear naive transformation of fundamental in FCS.The key points lie in that the “chromatic” projector RC is further decomposed into RR and RB opponent-color components and an orthogonal Luma/Chroma FCS is newly created by a set of (RA, RR, RB), each composed of n×n matrix. Now image colors are mapped onto Luma/Chroma FCS. First, a tristimulus value XYZ from sRGB camera input is transformed back to the fundamental C* by pseudo-inverse projection. Next, C* is decomposed into the spectral triplet (CA*, CR*, CB*) through the (RA, RR, RB). Finally, the achromatic fundamental CA*(λ), n-dimensional vector, is converted to the luminance value LA by integral over λ. As well, the chromatic fundamentals, CR*(λ) and CB*(λ) are converted to the chrominance values CR and CB. The paper shows how the image colors are mapped onto (LA, CR, CB) Luma/Chroma space and introduces its application to the image segmentation in comparison with conventional CIELAB and IPT color spaces.

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Hiroaki Kotera, "Image Color Mapping and Clustering in Luma/Chroma Fundamental Color Spacein Proc. IS&T CGIV 2008/MCS'08 4th European Conf. on Colour in Graphics, Imaging, and Vision 10th Int'l Symp. on Multispectral Colour Science,  2008,  pp 585 - 590,

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