在领域的灵感与极性HSV - RGB理论的颜色

J. Haluska
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引用次数: 3

摘要

引用本文:李建军,李建军,李建军,复平面上的词典排序和场运算。钉。Mat. 41(2014), 123—133。,引入并研究了$HSV-RGB$色彩空间$\triangle$。它配备了加法、减法、乘法和(部分)除法的操作。消色差灰色调形成一个理想的$\mathfrak{S}$。将$\triangle$除以理想的$\mathfrak{S}$,得到一个域$\triangle | \mathfrak{S}$。$\triangle | \mathfrak{S}$中的一个元素(即一个单独的color)是由三个三角形系数组成的三元组。所有三角系数的集合是抛物线复函数半场的一个子集。对于抛物-复数集,参见~A。答:哈金,J。B.哈金,一般复数几何。数学杂志,77(2004),118—129。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On fields inspired with the polar HSV -- RGB theory of Colour
A three-polar, cf. T. Gregor, J. Halu\v{s}ka, Lexicographical ordering and field operations in the complex plane. Stud. Mat. 41(2014), 123--133., $HSV-RGB$ Colour space $\triangle$ was introduced and studied. It was equipped with operations of addition, subtraction, multiplication, and (partially) division. Achromatic Grey Hues form an ideal $\mathfrak{S}$. Factorizing $\triangle$ by the ideal $\mathfrak{S}$, we obtain a field $\triangle | \mathfrak{S}$. An element (i.e an individual Colour) in $\triangle | \mathfrak{S}$ is a triplet of three triangular coefficients. The set of all triangular coefficients is a subset of a semi-field of parabolic-complex functions. For the parabolic-complex number set, cf.~A. A. Harkin--J. B. Harkin, Geometry of general complex numbers. Mathematics magazine, 77(2004), 118--129.
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