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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Planckian locus ： ウィキペディア英語版 Planckian locus In physics and color science, the Planckian locus or black body locus is the path or ''locus'' that the color of an incandescent black body would take in a particular chromaticity space as the blackbody temperature changes. It goes from deep red at low temperatures through orange, yellowish white, white, and finally bluish white at very high temperatures. A color space is a three-dimensional space; that is, a color is specified by a set of three numbers (the CIE coordinates ''X'', ''Y'', and ''Z'', for example, or other values such as hue, colorfulness, and luminance) which specify the color and brightness of a particular homogeneous visual stimulus. A chromaticity is a color projected into a two-dimensional space that ignores brightness. For example, the standard CIE XYZ color space projects directly to the corresponding chromaticity space specified by the two chromaticity coordinates known as ''x'' and ''y'', making the familiar chromaticity diagram shown in the figure. The Planckian locus, the path that the color of a black body takes as the blackbody temperature changes, is often shown in this standard chromaticity space. == The Planckian locus in the XYZ color space == In the CIE XYZ color space, the three coordinates defining a color are given by ''X'', ''Y'', and ''Z'': :$X\_T\; =\; \backslash int\_0^\backslash infty\; X(\backslash lambda)M(\backslash lambda,T)\backslash ,d\backslash lambda$ :$Y\_T\; =\; \backslash int\_0^\backslash infty\; Y(\backslash lambda)M(\backslash lambda,T)\backslash ,d\backslash lambda$ :$Z\_T\; =\; \backslash int\_0^\backslash infty\; Z(\backslash lambda)M(\backslash lambda,T)\backslash ,d\backslash lambda$ where ''M(λ,T)'' is the spectral radiant exitance of the light being viewed, and ''X''(''λ''), ''Y''(''λ'') and ''Z''(''λ'') are the color matching functions of the CIE standard colorimetric observer, shown in the diagram on the right, and ''λ'' is the wavelength. The Planckian locus is determined by substituting into the above equations the black body spectral radiant exitance, which is given by Planck's law: :$M(\backslash lambda,T)\; =\backslash frac\backslash fracT\}\backslash right)-1\}$ where: :''c1'' = 2}''hc''2 is the first radiation constant :''c2'' = ''hc/k'' is the second radiation constant and: :''M'' is the black body spectral radiant exitance (power per unit area per unit wavelength: watt per square meter per meter (W/m3)) :''T'' is the temperature of the black body :''h'' is Planck's constant :''c'' is the speed of light :''k'' is Boltzmann's constant This will give the Planckian locus in CIE XYZ color space. If these coordinates are ''XT'', ''YT'', ''ZT'' where ''T'' is the temperature, then the CIE chromaticity coordinates will be :$x\_T\; =\; \backslash frac$ :$y\_T\; =\; \backslash frac$ Note that in the above formula for Planck’s Law, you might as well use ''c1L'' = 2''hc''2 (the first radiation constant ''for spectral radiance'') instead of ''c1'' (the “regular” first radiation constant), in which case the formula would give the spectral radiance ''L''(''λ,T'') of the black body instead of the spectral radiant exitance ''M''(''λ,T''). However, this change only affects the ''absolute'' values of ''XT'', ''YT'' and ''ZT'', not the values ''relative to each other''. Since ''XT'', ''YT'' and ''ZT'' are usually normalized to ''YT'' = 1 (or ''YT'' = 100) and are normalized when ''xT'' and ''yT'' are calculated, the absolute values of ''XT'', ''YT'' and ''ZT'' do not matter. For practical reasons, ''c1'' might therefore simply be replaced by 1. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Planckian locus」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.