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Hue

From Wikipedia, the free encyclopedia
Property of a color
This article is about the color property. For the city in Vietnam, seeHuế. For other uses, seeHue (disambiguation).
All colors on thiscolor wheel should appear to have the same lightness and the same saturation, differing only by hue.
Look up hue in Wiktionary, the free dictionary.

Incolor theory,hue is one of the properties (calledcolor appearance parameters) of acolor, defined in theCIECAM02 model as "the degree to which astimulus can be described as similar to or different from stimuli that are described asred,orange,yellow,green,blue,violet,"[1] within certain theories ofcolor vision.

Hue can typically be represented quantitatively by a single number, often corresponding to an angular position around a central or neutral point or axis on acolor space coordinate diagram (such as achromaticity diagram) orcolor wheel, or by itsdominant wavelength or by that of itscomplementary color. The other color appearance parameters arecolorfulness, saturation (also known as intensity or chroma),[2]lightness, andbrightness. Usually, colors with the same hue are distinguished with adjectives referring to their lightness or colorfulness - for example: "light blue", "pastel blue", "vivid blue", and "cobalt blue". Exceptions includebrown, which is a darkorange.[3]

Inpainting, a hue is apurepigment—one withouttint or shade (added white or black pigment, respectively).[4]

Thehuman brain first processes hues in areas in the extended V4 calledglobs.[5][6]

Deriving a hue

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Gradient Munsell hue wheel at value 5 and constant chroma (6.24)

The concept of a color system with a hue was explored as early as 1830 withPhilipp Otto Runge's color sphere. TheMunsell color system from the 1930s was a great step forward, as it was realized thatperceptual uniformity means the color space can no longer be a sphere.

As a convention, the hue forred is set to 0° for most color spaces with a hue.

Opponent color spaces

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Inopponent color spaces in which two of the axes are perceptually orthogonal to lightness, such as the CIE 1976 (L*,a*,b*) (CIELAB) and 1976 (L*,u*,v*) (CIELUV) color spaces, hue may be computed together with chroma by converting these coordinates fromrectangular form topolar form. Hue is the angular component of the polar representation, while chroma is the radial component.

Specifically, in CIELAB[7]

hab=atan2(b,a),{\displaystyle h_{ab}=\mathrm {atan2} (b^{*},a^{*}),}

while, analogously, in CIELUV[7]

huv=atan2(v,u)=atan2(v,u),{\displaystyle h_{uv}=\mathrm {atan2} (v^{*},u^{*})=\mathrm {atan2} (v',u'),}

where,atan2 is a two-argument inverse tangent.

Defining hue in terms of RGB

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HSV color space as a conical object
An illustration of the relationship between the "hue" of colors with maximal saturation in HSV and HSL with their corresponding RGB coordinates
Hue circle in 24 colors (15°)

Preucil[8] describes a color hexagon, similar to a trilinear plot described by Evans, Hanson, and Brewer,[9] which may be used to compute hue fromRGB. To placered at 0°,green at 120°, andblue at 240°,

hrgb=atan2(3(GB),2RGB).{\displaystyle h_{rgb}=\mathrm {atan2} \left({\sqrt {3}}\cdot (G-B),2\cdot R-G-B\right).}

Equivalently, one may solve

tan(hrgb)=3(GB)2RGB.{\displaystyle \tan(h_{rgb})={\frac {{\sqrt {3}}\cdot (G-B)}{2\cdot R-G-B}}.}

Preucil used a polar plot, which he termed a color circle.[8] Using R, G, and B, one may compute hue angle using the following scheme: determine which of the six possible orderings of R, G, and B prevail, then apply the formula given in the table below.

OrderingHue regionhPreucil circle{\displaystyle h_{\text{Preucil circle}}}
RGB{\displaystyle R\geq G\geq B}Orange60GBRB{\displaystyle 60^{\circ }\cdot {\frac {G-B}{R-B}}}
G>RB{\displaystyle G>R\geq B}Chartreuse60(2RBGB){\displaystyle 60^{\circ }\cdot \left(2-{\frac {R-B}{G-B}}\right)}
GB>R{\displaystyle G\geq B>R}Spring Green60(2+BRGR){\displaystyle 60^{\circ }\cdot \left(2+{\frac {B-R}{G-R}}\right)}
 B>G>R {\displaystyle \ B>G>R\ }Azure60(4GRBR){\displaystyle 60^{\circ }\cdot \left(4-{\frac {G-R}{B-R}}\right)}
B>RG{\displaystyle B>R\geq G}Violet60(4+RGBG){\displaystyle 60^{\circ }\cdot \left(4+{\frac {R-G}{B-G}}\right)}
RB>G{\displaystyle R\geq B>G}Rose60(6BGRG){\displaystyle 60^{\circ }\cdot \left(6-{\frac {B-G}{R-G}}\right)}

In each case the formula contains the fractionMLHL{\displaystyle {\frac {M-L}{H-L}}}, whereH is the highest of R, G, and B;L is the lowest, andM is the mid one between the other two. This is referred to as the "Preucil hue error" and was used in the computation of mask strength in photomechanical color reproduction.[10]

Hue angles computed for the Preucil circle agree with the hue angle computed for the Preucil hexagon at integer multiples of 30° (red, yellow, green, cyan, blue, magenta, and the colors midway between contiguous pairs) and differ by approximately 1.2° at odd integer multiples of 15° (based on the circle formula), the maximal divergence between the two.

The process of converting an RGB color into anHSL or HSV color space is usually based on a 6-piece piecewise mapping, treating the HSV cone as ahexacone, or the HSL double cone as a double hexacone.[11] The formulae used are those in the table above.

  • Additional images for hue in the HSL and HSV systems
  • Hue in the HSL/HSV encodings of RGB
    Hue in theHSL/HSV encodings ofRGB
  • An image with the hues cyclically shifted in HSL space
    An image with the hues cyclically shifted in HSL space
  • The hues in this image of a painted bunting are cyclically rotated over time in HSL.
    The hues in this image of apainted bunting are cyclically rotated over time in HSL.

One might notice that the HSL/HSV hue "circle" does not appear to all be of the samelightness. This is a known issue of this RGB-based derivation of hue.[12]

Usage in art

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Manufacturers of pigments use the word hue, for example, "cadmium yellow (hue)" to indicate that the original pigmentation ingredient, often toxic, has been replaced by safer (or cheaper) alternatives whilst retaining the hue of the original. Replacements are often used forchromium,cadmium andalizarin.

Hue vs. dominant wavelength

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Dominant wavelength (or sometimes equivalent wavelength) is a physical analog to the perceptual attribute hue. On achromaticity diagram, a line is drawn from awhite point through the coordinates of the color in question, until it intersects thespectral locus. The wavelength at which the line intersects the spectrum locus is identified as the color'sdominant wavelength if the point is on the same side of the white point as the spectral locus, and as the color'scomplementary wavelength if the point is on the opposite side.[13]

Hue difference notation

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There are two main ways in which hue difference is quantified. The first is the simple difference between the two hue angles. The symbol for this expression of hue difference isΔhab{\displaystyle \Delta h_{ab}} in CIELAB andΔhuv{\displaystyle \Delta h_{uv}} in CIELUV. The other is computed as the residual total color difference after Lightness and Chroma differences have been accounted for; its symbol isΔHab{\displaystyle \Delta H_{ab}^{*}} in CIELAB andΔHuv{\displaystyle \Delta H_{uv}^{*}} in CIELUV.

Names and other notations

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There exists some correspondence, more or less precise, between hue values andcolor terms (names). One approach in color science is to use traditional color terms but try to give them more precise definitions. Seespectral color#Spectral color terms for names of highly saturated colors with the hue from ≈ 0° (red) up to ≈ 275° (violet), andline of purples#Table of highly-saturated purple colors for color terms of the remaining part of the color wheel.

Alternative approach is to use a systematic notation. It can be a standardangle notation for certain color model such as HSL/HSV mentioned above,CIELUV, orCIECAM02. Alphanumeric notations such as ofMunsell color system,NCS, andPantone Matching System are also used.

See also

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References

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  1. ^Mark Fairchild, "Color Appearance Models: CIECAM02 and Beyond". Tutorial slides for IS&T/SID 12th Color Imaging Conference.
  2. ^"Hue, Value, Saturation | learn". Archived fromthe original on 2017-06-30. RetrievedOctober 27, 2017.
  3. ^C J Bartleson, "Brown".Color Research and Application,1 : 4, pp. 181–191 (1976).
  4. ^"The Color Wheel and Color Theory". Creative Curio. 2008-05-16.Archived from the original on 2011-07-05. Retrieved2011-06-09.
  5. ^Conway, BR; Moeller, S; Tsao, DY. (2007)."Specialized color modules in macaque extrastriate cortex"(PDF).Neuron.56 (3):560–73.doi:10.1016/j.neuron.2007.10.008.PMC 8162777.PMID 17988638.S2CID 11724926. Archived fromthe original(PDF) on 2021-03-02. Retrieved2020-09-10.
  6. ^Conway, BR; Tsao, DY (2009)."Color-tuned neurons are spatially clustered according to color preference within alert macaque posterior inferior temporal cortex".Proceedings of the National Academy of Sciences of the United States of America.106 (42):18034–9.Bibcode:2009PNAS..10618034C.doi:10.1073/pnas.0810943106.PMC 2764907.PMID 19805195.
  7. ^abColorimetry, second edition: CIE Publication 15.2. Vienna: Bureau Central of the CIE, 1986.
  8. ^abFrank Preucil, "Color Hue and Ink Transfer … Their Relation to Perfect Reproduction",TAGA Proceedings, p 102-110 (1953). [TAGA article #T530102, paid registration required fromTAGA]
  9. ^Ralph Merrill Evans, W T Hanson, and W Lyle Brewer,Principles of Color Photography. New York: Wiley, 1953
  10. ^Miles Southworth,Color Separation Techniques, second edition. Livonia, New York: Graphic Arts Publishing, 1979.
  11. ^Max K. Agoston (2004).Computer Graphics and Geometric Modeling v. 1: Implementation and Algorithms. Springer. pp. 301–304.ISBN 1-85233-818-0.Archived from the original on 2017-03-21.
  12. ^Brewer, Cynthia A. (1999)."Color Use Guidelines for Data Representation".Proceedings of the Section on Statistical Graphics. Alexandria, VA: American Statistical Association. pp. 55–60. Archived fromthe original on 2009-08-07. Retrieved2024-01-03.
  13. ^Deane B Judd and Günter Wyszecki,Color in Business, Science, and Industry. New York: Wiley, 1976.

External links

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