chromaticity

In color science, the white point of an illuminant or of a display is a neutral reference characterized by a chromaticity; all other chromaticities may be defined in relation to this reference using polar coordinates. The hue is the angular component, and the purity is the radial component, normalized{{clarify|date=June 2013|reason=note that the chromaticity space does not have a canonical affine structure, so there are no invariantly defined ratios of lengths even along the same line}} by the maximum radius for that hue.

Purity is roughly equivalent to the term saturation in the HSV color model. The property hue is as used in general color theory and in specific color models such as HSL and HSV color spaces, though it is more perceptually uniform in color models such as Munsell, CIELAB or CIECAM02.

Some color spaces separate the three dimensions of color into one luminance dimension and a pair of chromaticity dimensions. For example, the white point of an sRGB display is an {{mvar|x}}, {{mvar|y}} chromaticity of (0.3127, 0.3290), where {{mvar|x}} and {{mvar|y}} coordinates are used in the xyY space.

Image:CIE 1976 UCS.png, is a fairly perceptually uniform presentation of the chromaticity as (another than in CIE 1931) planar Euclidean shape. This presentation is a projective transformation of the CIE 1931 chromaticity diagram above.]]

These pairs determine a chromaticity as affine coordinates on a triangle in a 2D-space, which contains all possible chromaticities. These {{mvar|x}} and {{mvar|y}} are used because of simplicity of expression in CIE 1931 (see below) and have no inherent advantage. Other coordinate systems on the same X-Y-Z triangle, or other color triangles, can be used.

On the other hand, some color spaces such as RGB and XYZ do not separate out chromaticity, but chromaticity is defined by a mapping that normalizes out intensity, and its coordinates, such as {{mvar|r}} and {{mvar|g}} or {{mvar|x}} and {{mvar|y}}, can be calculated through the division operation, such as {{math|1=x =}} {{sfrac|X|X + Y + Z}}, and so on.

The xyY space is a cross between the CIE XYZ and its normalized chromaticity coordinates xyz, such that the luminance Y is preserved and augmented with just the required two chromaticity dimensions.{{cite book | title = Digital Video and HDTV: Algorithms and Interfaces | author = Charles A. Poynton | publisher = Morgan Kaufmann | year = 2003 | isbn = 978-1-55860-792-7 | url = https://books.google.com/books?id=ra1lcAwgvq4C&q=chromaticity+xyy&pg=RA1-PA219 }}

{{commons category|Chromatic diagrams}}

• CIE xyY (chromaticity diagram)
• Chrominance
• rg chromaticity
• Impossible color
• Color index in astronomy

{{Reflist}}

• Stanford University CS 178 [http://graphics.stanford.edu/courses/cs178-10/applets/threedgamut.html interactive Flash demo ] explaining chromaticity diagrams.
• [https://sites.google.com/view/juddofelt/ JOES application software for calculation and plotting of CIE 1931 and 1976 from spectra]{{cite journal|last1=Ćirić|first1=Aleksandar|last2=Stojadinović|first2=Stevan|last3=Sekulić|first3=Milica|last4=Dramićanin|first4=Miroslav D.|title=JOES: An application software for Judd-Ofelt analysis from Eu³⁺ emission spectra|journal=Journal of Luminescence|date=January 2019|volume=205|pages=351–356|doi=10.1016/j.jlumin.2018.09.048|bibcode=2019JLum..205..351C |s2cid=105828989 }}

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Category:Color

Category:Photometry