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{{two other uses||the city in Vietnam|Huế}}
<!-- {{unreferenced|article|date=December 2006}} -->
[[Image:HueScale.svg|thumb|right|360px|Hue in the [[HSL color space|HSB]]/[[HSL color space|HSL]] encodings of [[RGB]]]]
[[Image:Hue shift six photoshop.jpg|thumb|An image with the hues cyclically shifted in HSL space]]
[[Image:Hue.gif|thumb|The hues in the image of this [[Painted Bunting]] are cyclically rotated over time.]]
 
'''Hue''' is one of the main properties of a [[color]], defined technically (in the [[CIECAM02]] model), as "the degree to which a stimulus can be described
as similar to or different from stimuli that are described as [[red]], [[green]], [[blue]], and [[yellow]],"<ref>Mark Fairchild, "Color Appearance Models:
CIECAM02 and Beyond." Tutorial slides for IS&T/SID 12th Color Imaging Conference.</ref> (the [[unique hues]]). The other main correlatives of color appearance are [[colorfulness]], chroma, [[Saturation (color theory)|saturation]], [[lightness (color)|lightness]], and [[brightness]].
 
Usually, colors with the same hue are distinguished with adjectives referring to their lightness and/or colorfulness, such as with "light blue", "pastel blue", "vivid blue". Exceptions include [[brown]], which is a dark [[Orange (colour)|orange]],<ref name="Bartleson1976">C J Bartleson, "Brown". ''Color Research and Application,'' '''1''' : 4, p 181-191 (1976).</ref>  and [[pink]], a light red with reduced chroma.
 
In [[painting]] [[color theory]], a '''hue''' refers to a ''pure'' color—one without [[Tints and shades|tint or shade]] (added white or black [[pigment]], respectively).<ref>{{cite web|url=http://creativecurio.com/2008/05/the-color-wheel-and-color-theory/ |title=The Color Wheel and Color Theory |publisher=Creative Curio |date=2008-05-16 |accessdate=2011-06-09}}</ref> A hue is an element of the [[color wheel]]. Hues are first processed in the [[Human brain|brain]] in areas in the extended V4 called [[glob (visual system)|glob]]s.<ref name="Conway07">{{cite journal | doi = 10.1016/j.neuron.2007.10.008 | last1 = Conway | first1 = BR | last2 = Moeller | first2 = S | last3 = Tsao | first3 = DY. | year = 2007 | title = Specialized color modules in macaque extrastriate cortex | url = | journal = Neuron | volume = 56 | issue = 3| pages = 560–73 | pmid = 17988638 }}</ref><ref name="Conway">{{cite journal | last1 = Conway | first1 = BR | last2 = Tsao | first2 = DY | title = Color-tuned neurons are spatially clustered according to color preference within alert macaque posterior inferior temporal cortex | journal = Proceedings of the National Academy of Sciences of the United States of America | volume = 106 | issue = 42 | pages = 18034–9 | year = 2009 | pmid = 19805195 | pmc = 2764907 | doi = 10.1073/pnas.0810943106 }}</ref>
 
== Computing hue ==
 
In [[opponent process|opponent 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 from [[rectangular coordinates|rectangular]] form to [[polar coordinates|polar]] form. Hue is the angular component of the polar representation, while chroma is the radial component.
 
Specifically, in CIELAB:<ref name="CIE1986">''Colorimetry,'' second edition: CIE Publication 15.2. Vienna: Bureau Central of the CIE, 1986.</ref>
 
:<math>h_{ab} = \mathrm{atan2}(b^*, a^*)\;</math>
 
while, analogously, in CIELUV:<ref name = "CIE1986"/>
 
:<math>h_{uv} = \mathrm{atan2}(v^*, u^*) =  \mathrm{atan2}(v', u')\;</math>
 
Where, [[atan2]] is a two-argument inverse tangent.
 
=== Computing hue from RGB ===
 
Preucil<ref name = "Preucil1953">Frank Preucil, "Color Hue and Ink Transfer … Their Relation to Perfect Reproduction, ''TAGA Proceedings,'' p 102-110 (1953).</ref> describes a color hexagon, similar to a trilinear plot described by Evans, Hanson, and Brewer,<ref name = "Evans1953">Ralph Merrill Evans, W T Hanson, and W Lyle Brewer, ''Principles of Color Photography.'' New York: Wiley, 1953</ref> which may be used to compute hue from [[RGB]]. To place [[red]] at 0°, [[green]] at 120°, and [[blue]] at 240°.
 
:<math> h_{rgb} = \mathrm{atan2}\left( \sqrt{3} \cdot (G - B), 2 \cdot R - G - B \right) </math>
 
Equivalently, one may solve:
:<math> \tan( h_{rgb}) = \frac{\sqrt{3}\cdot (G - B)}{2\cdot R - G - B} </math>
 
Preucil used a polar plot, which he termed a color circle.<ref name = "Preucil1953"/> 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.
 
[[Image:HSV cone.jpg|thumb|HSV color space as a conical object]]
 
[[Image:HSV-RGB-comparison.svg|thumb|right|An illustration of the relationship between the "hue" of colors with maximal saturation in HSV and HSL with their corresponding RGB coordinates.]]
 
{| class="wikitable" style="background:white;"
|-
! Ordering
! Hue Region
! Formula
|-
| <math>R \ge G \ge B</math>
| Red-Yellow
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \frac{G - B}{R - B}</math>
|-
| <math>G > R \ge B</math>
| Yellow-Green
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \left( 2 - \frac{R - B}{G - B}\right)</math>
|-
| <math>G \ge B > R</math>
| Green-Cyan
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \left( 2 + \frac{B - R}{G - R}\right)</math>
|-
| <math>\ B > G > R\ </math>
| Cyan-Blue
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \left( 4 - \frac{G - R}{B - R}\right)</math>
|-
| <math>B > R \ge G</math>
| Blue-Magenta
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \left( 4 + \frac{R - G}{B - G}\right)</math>
|-
| <math>R \ge B > G</math>
| Magenta-Red
| <math>h_{Preucil\ circle} = 60^{\circ} \cdot \left( 6 - \frac{B - G}{R - G}\right)</math>
|}
 
Note that in each case the formula contains the fraction <math>\frac{M - L}{H - L}</math>, where H is the highest of R, G, and B; L is the lowest, and M 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.<ref name = "Southworth">Miles Southworth, ''Color Separation Techniques,'' second edition. Livonia, New York: Graphic Arts Publishing, 1979</ref>
 
Hue angles computed for the Preucil circle agree with the hue angle computed for the Preucil Hexagon at integer multiples of 30 degrees (red, yellow, green, cyan, blue, magenta, and the colors mid-way between contiguous pairs) and differ by approximately 1.2 degrees at odd integer multiples of 15 degrees (based on the circle formula), the maximum divergence between the two.
 
The process of converting an RGB color into an [[HSL color space]] or [[HSV color space]] is usually based on a 6-piece piecewise mapping, treating the HSV cone as a hexacone, or the HSL double cone as a double hexacone.<ref>{{cite book | title = Computer Graphics and Geometric Modelling v. 1: Implementation and Algorithms | author = Max K. Agoston | isbn = 1-85233-818-0 | publisher = Springer | year = 2004 | url = http://books.google.com/?id=fGX8yC-4vXUC&pg=PA301&lpg=PA301&dq=hsv++hue+rgb#PPA304,M1 | pages = 301–304}}</ref> The formulae used are those in the table above.
 
== Specialized hues ==
 
The hues exhibited by [[caramel color]]ings and [[beer]]s are fairly limited in range. The [[Linner hue index]] is used to quantify the hue of such products.
 
== Usage in art ==
 
Manufacturers of pigments use the word hue e.g. '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 for [[chromium]], [[cadmium]] and [[alizarin]].
 
== Hue vs. dominant wavelength ==
 
[[Dominant wavelength]] (or sometimes equivalent wavelength) is a physical analog to the perceptual attribute hue. On a [[chromaticity diagram]], a line is drawn from a [[white point]] through the coordinates of the color in question, until it intersects the [[CIE 1931 color space#The CIE xy chromaticity diagram|spectral locus]]. The wavelength at which the line intersects the spectrum locus is identified as the color's [[dominant wavelength]] if the point is on the same side of the white point as the spectral locus, and as the color's [[complementary wavelength]] if the point is on the opposite side.<ref name = "Judd1976">Deane B Judd and Günter Wyszecki, ''Color in Business, Science, and Industry.'' New York: Wiley, 1976.</ref>
 
== Hue difference: <math>\Delta h</math> or <math>\Delta H^*</math>? ==
 
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 is <math>\Delta h_{ab}</math> in CIELAB and <math>\Delta h_{uv}</math> in CIELUV. The other is computed as the residual total color difference after Lightness and Chroma differences have been accounted for; its symbol is <math>\Delta H^*_{ab}</math> in CIELAB and <math>\Delta H^*_{uv}</math> in CIELUV.
 
== Names and other notations for hues ==
There exists some correspondence, more or less precise, between hue values and [[color term]]s (names). One approach in color science is to use traditional color terms but try to give them more precise definitions. See [[spectral color #Table of spectral or near-spectral colors]] for names of highly saturated colors with the hue from ≈ 0° (red) up to ≈ 275° (violet), and [[line 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 standard [[angle]] notation for certain color model such as HSL/HSV mentioned above, [[CIELUV]], or [[CIECAM02]]. Alphanumeric notations such as of [[Munsell color system]], [[Natural Color System|NCS]], and [[Pantone Matching System]] are also used.
 
== See also ==
*[[Lightness (color)]]
*[[Chromaticity]]
*[[Munsell color system]]
*[[Bezold–Brücke shift]]
 
== References ==
{{Reflist}}
 
== External links ==
*[http://gimps.de/en/tutorials/gimp/picture-photo-image/improve-colors/ Editing of hue in photography]
 
[[Category:Color]]
{{Color topics}}

Revision as of 06:07, 15 January 2014

Template:Two other uses

Hue in the HSB/HSL encodings of RGB
An image with the hues cyclically shifted in HSL space
The hues in the image of this Painted Bunting are cyclically rotated over time.

Hue is one of the main properties of a color, defined technically (in the CIECAM02 model), as "the degree to which a stimulus can be described as similar to or different from stimuli that are described as red, green, blue, and yellow,"[1] (the unique hues). The other main correlatives of color appearance are colorfulness, chroma, saturation, lightness, and brightness.

Usually, colors with the same hue are distinguished with adjectives referring to their lightness and/or colorfulness, such as with "light blue", "pastel blue", "vivid blue". Exceptions include brown, which is a dark orange,[2] and pink, a light red with reduced chroma.

In painting color theory, a hue refers to a pure color—one without tint or shade (added white or black pigment, respectively).[3] A hue is an element of the color wheel. Hues are first processed in the brain in areas in the extended V4 called globs.[4][5]

Computing hue

In opponent 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 from rectangular form to polar form. Hue is the angular component of the polar representation, while chroma is the radial component.

Specifically, in CIELAB:[6]

while, analogously, in CIELUV:[6]

Where, atan2 is a two-argument inverse tangent.

Computing hue from RGB

Preucil[7] describes a color hexagon, similar to a trilinear plot described by Evans, Hanson, and Brewer,[8] which may be used to compute hue from RGB. To place red at 0°, green at 120°, and blue at 240°.

Equivalently, one may solve:

Preucil used a polar plot, which he termed a color circle.[7] 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.

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.
Ordering Hue Region Formula
Red-Yellow
Yellow-Green
Green-Cyan
Cyan-Blue
Blue-Magenta
Magenta-Red

Note that in each case the formula contains the fraction , where H is the highest of R, G, and B; L is the lowest, and M 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.[9]

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

The process of converting an RGB color into an HSL color space or HSV color space is usually based on a 6-piece piecewise mapping, treating the HSV cone as a hexacone, or the HSL double cone as a double hexacone.[10] The formulae used are those in the table above.

Specialized hues

The hues exhibited by caramel colorings and beers are fairly limited in range. The Linner hue index is used to quantify the hue of such products.

Usage in art

Manufacturers of pigments use the word hue e.g. '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 for chromium, cadmium and alizarin.

Hue vs. dominant wavelength

Dominant wavelength (or sometimes equivalent wavelength) is a physical analog to the perceptual attribute hue. On a chromaticity diagram, a line is drawn from a white point through the coordinates of the color in question, until it intersects the spectral locus. The wavelength at which the line intersects the spectrum locus is identified as the color's dominant wavelength if the point is on the same side of the white point as the spectral locus, and as the color's complementary wavelength if the point is on the opposite side.[11]

Hue difference: or ?

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 is in CIELAB and in CIELUV. The other is computed as the residual total color difference after Lightness and Chroma differences have been accounted for; its symbol is in CIELAB and in CIELUV.

Names and other notations for hues

There exists some correspondence, more or less precise, between hue values and color terms (names). One approach in color science is to use traditional color terms but try to give them more precise definitions. See spectral color #Table of spectral or near-spectral colors for names of highly saturated colors with the hue from ≈ 0° (red) up to ≈ 275° (violet), and line 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 standard angle notation for certain color model such as HSL/HSV mentioned above, CIELUV, or CIECAM02. Alphanumeric notations such as of Munsell color system, NCS, and Pantone Matching System are also used.

See also

References

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External links

Template:Color topics

  1. Mark Fairchild, "Color Appearance Models: CIECAM02 and Beyond." Tutorial slides for IS&T/SID 12th Color Imaging Conference.
  2. C J Bartleson, "Brown". Color Research and Application, 1 : 4, p 181-191 (1976).
  3. Template:Cite web
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    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
  6. 6.0 6.1 Colorimetry, second edition: CIE Publication 15.2. Vienna: Bureau Central of the CIE, 1986.
  7. 7.0 7.1 Frank Preucil, "Color Hue and Ink Transfer … Their Relation to Perfect Reproduction, TAGA Proceedings, p 102-110 (1953).
  8. Ralph Merrill Evans, W T Hanson, and W Lyle Brewer, Principles of Color Photography. New York: Wiley, 1953
  9. Miles Southworth, Color Separation Techniques, second edition. Livonia, New York: Graphic Arts Publishing, 1979
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  11. Deane B Judd and Günter Wyszecki, Color in Business, Science, and Industry. New York: Wiley, 1976.