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Volume: 22 | Article ID: art00010
A Complete Opponent-Color Space With Golden Vectors
  DOI :  10.2352/CIC.2014.22.1.art00010  Published OnlineNovember 2014

Oppopnent-color mechanism in the retinal ganglion cell carries the luminance-chrominance transform important to human vision. Though a variety of opponent-color spaces have been proposed, the orthonormality and the achromatic grayness in the basis function are not always guaranteed. This paper discusses a foundation of complete opponent-color space based on the concept of FCS (Fundamental Color Space) derived from Matrix-R theory. A complete opponent-color space is constructed by [1] choosing the Golden Vectors as an orthogonal triplet for FCS, [2] replacing its luminance basis by the fundamental of EE spectrum, and [3] orthonormalizing the basis functions with GramSchmidt method. The fundamental of EE spectrum is bimodal-shaped. This distinct basis makes the mathematical completeness in the opponent-color FCS possible. So far, the Golden Vectors with fundamentals for (λ1=455, λ2 =513, λ3=584 nm) by J. B Cohen is known to give an ideal orthogonal triplet, but is not an optimal set. The author found a new set of Golden Vectors with the fundamentals for (λ1=461, λ2=548, λ3=617 nm) as the best. A complete opponent-color FCS satisfying both orthonormality and chromatic graynesss is derived from this new Golden Vectors. The paper shows how the proposed opponent-color FCS works well to separate the opponent-color components for natural images and introduces an application to the image color segmentation.

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Hiroaki Kotera, "A Complete Opponent-Color Space With Golden Vectorsin Proc. IS&T 22nd Color and Imaging Conf.,  2014,  pp 65 - 70,

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