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摘要翻译：
我们描述了颜色匹配函数上的仿射变换，并将光谱轨迹映射为一个圆。然后，我们对由圆竖起的右圆柱体相对于归一化平面进行均匀化，并建立了光谱颜色的色度锥的解析方程，该色度锥的色度锥的色度锥的色度锥的色度锥的色度锥的色度锥的色度锥的色度锥的色度锥的色度锥。在(CIE)色度图的内部，通过均匀化椭圆柱面，得到了色度锥子集（也是锥）的解析方程。这些方程提供了一种描述颜色感知的代数方法。作为内部色度锥的一个应用，我们证明了通过将均匀化锥与平面剖分并投影，可以导出碎石椭圆的解析方程。进一步，利用锥方程提出了新的色阶系统类型。
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英文标题：
《Analytical Equations to the Chromaticity Cone: Algebraic Methods for
Describing Color》
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作者：
Prashanth Alluvada
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最新提交年份：
2008
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分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
We describe an affine transformation on the (CIE) color matching functions and map the spectral locus as a circle. We then homogenize the right circular cylinder erected by the circle, with respect to a normalizing plane and develop an analytical equation to the chromaticity cone, for the spectral colors. In the interior of the (CIE) chromaticity diagram, by homogenizing elliptic cylinders with respect to the normalizing planes, analytical equations to subsets (also cones) of the chromaticity cone are developed. These equations provide an algebraic method for describing color perception. As an application of the interior chromaticity cones, we demonstrate that by sectioning homogenized cones with planes and projecting, analytical equations to the Macadam ellipses may be derived. Further, the cone equations are used to propose new types of color order systems.
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PDF链接：
https://arxiv.org/pdf/0805.0530
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