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A Complete Opponent-Color Space With Golden Vectors

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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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Document Type: Research Article

Publication date: November 3, 2014

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  • CIC is the premier annual technical gathering for scientists, technologists, and engineers working in the areas of color science and systems, and their application to color imaging. Participants represent disciplines ranging from psychophysics, optical physics, image processing, color science to graphic arts, systems engineering, and hardware and software development. While a broad mix of professional interests is the hallmark of these conferences, the focus is color. CICs traditionally offer two days of short courses followed by three days of technical sessions that include three keynotes, an evening lecture, a vibrant interactive (poster) papers session, and workshops. An endearing symbol of the meeting is the Cactus Award, given each year to the author(s) of the best interactive paper; there are also Best Paper and Best Student Paper awards.

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