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{{About|an obsolete version of the [[International Commission on Illumination|CIE]] [[color space]]|the video color model|YUV}}
 
[[File:Planckian-locus.png|thumb|400px|The Planckian locus on the MacAdam {{nobr|(''u'', ''v'')}} chromaticity diagram. The normals are lines of equal correlated color temperature.]]
 
The '''CIE 1960 color space''' ("CIE 1960 UCS", variously expanded ''Uniform Color Space'', ''Uniform Color Scale'', ''Uniform Chromaticity Scale'', ''Uniform Chromaticity Space'') is another name for the {{nobr|(''u'', ''v'')}} [[chromaticity]] space devised by [[David MacAdam]].<ref>{{cite journal|authorlink=David MacAdam|first=David Lewis|last=MacAdam|title=Projective transformations of I.C.I. color specifications| journal=[[JOSA]]|volume=27|issue=8|date=August 1937|pages=294–299| url=http://www.opticsinfobase.org/abstract.cfm?URI=josa-27-8-294|doi=10.1364/JOSA.27.000294}}</ref>
 
The CIE 1960 UCS does not define a [[luminance (relative)|luminance]] or [[lightness (color)|lightness]] component, but the ''Y'' [[tristimulus value]] of the [[XYZ color space]] or a lightness index similar to ''W''* of the [[CIE 1964 color space]] are sometimes used.<ref>{{cite book|title=Digital Pictures: Representation, Compression, and Standards|publisher=Springer|isbn=0-306-42195-X|author=Arun N. Netravali, Barry G. Haskell|authorlink=Arun Netravali|edition=2E|page=288| url=http://books.google.com/?id=-TXYfZrCBuQC&pg=PA288&dq=Riemannian+munsell|year=1986}}</ref>
 
Today, the CIE 1960 UCS is mostly used to calculate [[correlated color temperature]], where the [[isotherm (contour line)|isotherm]]al lines are perpendicular to the [[Planckian locus]]. As a uniform chromaticity space, it has been superseded by the [[CIELUV|CIE 1976 UCS]].
 
==Background==
 
Judd determined that a more uniform [[color space]] could be found by a simple [[projective transformation]] of the [[CIEXYZ]] tristimulus values:<ref>{{cite journal|title=A Maxwell Triangle Yielding Uniform Chromaticity Scales|journal=[[JOSA]]|first=Deane B.|last=Judd|volume=25|issue=1|date=January 1935|pages=24–35| url=http://www.opticsinfobase.org/abstract.cfm?URI=josa-25-1-24| quote=An  important  application  of  this  coordinate  system  is  its use  in finding  from  any  series  of  colors  the  one  most  resembling a neighboring  color  of the  same brilliance, for example, the  finding  of the nearest  color temperature  for a neighboring  non-Planckian  stimulus. The  method  is to draw  the shortest  line from the point  representing  the non-Planckian  stimulus to  the  Planckian locus.|doi=10.1364/JOSA.25.000024}}</ref>
 
<math>\begin{pmatrix} ''R'' \\ ''G'' \\ ''B'' \end{pmatrix} = \begin{pmatrix} 3.1956 & 2.4478 & -0.1434 \\ -2.5455 & 7.0492 & 0.9963 \\ 0.0000 & 0.0000 & 1.0000 \end{pmatrix} \begin{pmatrix} X \\ Y \\ Z \end{pmatrix}</math>
 
(Note: What we have called "G" and "B" here are not the G and B of the [[CIE 1931 color space]] and in fact are "colors" that do not exist at all.)
 
Judd was the first to employ this type of transformation, and many others were to follow. Converting this RGB space to chromaticities one finds<ref>{{cite journal|journal=[[JOSA]]|title=Quantitative data and methods for colorimetry|volume=34|issue=11|date=November 1944|author=OSA Committee on Colorimetry| pages=633–688|url=http://www.opticsinfobase.org/abstract.cfm?URI=josa-34-11-633}} (recommended reading)</ref>{{Clarify|date=August 2013|post-text=The following formulae do not agree with u=R/(R+G+B) and v=G/(R+G+B)}}
 
[[File:Judd's-UCS.png|thumb|400px|Judd's UCS, with the Planckian locus and the isotherms from 1,000K to 10,000K, perpendicular to the locus. Judd then translated these isotherms back into the CIEXYZ color space. (The colors used in this illustration are illustrative only and do not correspond to the true colors represented by the respective points.)]]
 
<math>u=\frac{0.4661x+0.1593y}{y-0.15735x+0.2424}</math>
 
<math>v=\frac{0.6581y}{y-0.15735x+0.2424}</math>
 
or equivalently (for comparative purposes with the equations to follow):
 
<math>u=\frac{5.5932x+1.9116y}{12y-1.882x+2.9088}</math>
 
<math>v=\frac{7.8972y}{12y-1.882x+2.9088}</math>
 
MacAdam simplified Judd's UCS for computational purposes:
 
<math>u = \frac{4x}{12y - 2x + 3}</math>
 
<math>v = \frac{6y}{12y - 2x + 3}</math>
 
The Colorimetry committee of the CIE considered MacAdam's proposal at its 14th Session in Brussels for use in situations where more perceptual uniformity was desired than the (x,y) chromaticity space,<ref>{{cite journal| url=http://www.opticsinfobase.org/abstract.cfm?URI=josa-50-1-87| title=Brussels Session of the International Commission on Illumination|authorlink=International Commission on Illumination|journal=[[JOSA]]|volume=50|issue=1|date=January 1960|pages=89–90|author=CIE|quote=The  use  of  the  following chromaticity  diagram  is provisionally  recommended  whenever  a  diagram  yielding  color spacing  perceptually  more  nearly  uniform  than  the (xy)  diagram is  desired.  The  chromaticity  diagram  is  produced  by  plotting {{nobr|4''X''/(''X'' + 15''Y'' + 3''Z'')}}  as  abscissa  and {{nobr|6''Y''/(''X'' + 15''Y'' + 3''Z'')}}  as ordinate,  in which  ''X'', ''Y'', and ''Z''  are the  tristimulus  values  corresponding to the  1931  CIE  Standard  Observer  and Coordinate  System.}}</ref> and officially adopted it as the standard UCS the next year.<ref>{{Cite web|location=Brussels|year=1960|author=CIE|authorlink=International Commission on Illumination|contribution=Official Recommendations|page=36|series=14th Session|title=Publication No. 004: Proceedings of the CIE Session 1959 in Bruxelles|volume=A|url=http://cie.kee.hu/newcie/main/withdrawn.html}}</ref>
 
==Relation to CIEXYZ==
[[File:CIE UVW Diagramme de chromaticité 002.png|thumb|right|400px|The CIE 1960 UCS, also known as the MacAdam (u,v) chromaticity diagram. Colors outside the colored triangle cannot be represented on most computer screens.]]
U, V, and W can be found from X, Y, and Z using:
:<math>U= \textstyle{\frac{2}{3}}X</math>
:<math>V=Y\,</math>
:<math>W=\textstyle{\frac{1}{2}}(-X+3Y+Z)</math>
Going the other way:
:<math>X=\textstyle{\frac 32}U</math>
:<math>Y=V</math>
:<math>Z=\textstyle{\frac{3}{2}}U-3V+2W</math>
We then find the [[chromaticity]] variables as:
:<math>u =\frac U{U+V+W}= \frac{4X}{X + 15Y +3Z}</math>
:<math>v =\frac V{U+V+W}= \frac{6Y}{X + 15Y + 3Z}</math>
We can also convert from ''u'' and ''v'' to ''x'' and ''y'':
:<math>x = \frac{3u}{2u - 8v + 4}</math>
:<math>y = \frac{2v}{2u - 8v + 4}</math>
 
==Relation to CIELUV==
:<math>u^\prime = u\,</math>
:<math>v^\prime = \textstyle{\frac{3}{2}}v\,</math>
 
==References==
<references/>
 
==External links==
* [http://www.efg2.com/Lab/Graphics/Colors/Chromaticity.htm Free Windows utility to generate chromaticity diagrams.] Delphi source included.
 
{{color space}}
 
 
 
[[Category:Color space]]

Revision as of 23:36, 5 January 2014

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The Planckian locus on the MacAdam Template:Nobr chromaticity diagram. The normals are lines of equal correlated color temperature.

The CIE 1960 color space ("CIE 1960 UCS", variously expanded Uniform Color Space, Uniform Color Scale, Uniform Chromaticity Scale, Uniform Chromaticity Space) is another name for the Template:Nobr chromaticity space devised by David MacAdam.[1]

The CIE 1960 UCS does not define a luminance or lightness component, but the Y tristimulus value of the XYZ color space or a lightness index similar to W* of the CIE 1964 color space are sometimes used.[2]

Today, the CIE 1960 UCS is mostly used to calculate correlated color temperature, where the isothermal lines are perpendicular to the Planckian locus. As a uniform chromaticity space, it has been superseded by the CIE 1976 UCS.

Background

Judd determined that a more uniform color space could be found by a simple projective transformation of the CIEXYZ tristimulus values:[3]

('R'G'B)=(3.19562.44780.14342.54557.04920.99630.00000.00001.0000)(XYZ)

(Note: What we have called "G" and "B" here are not the G and B of the CIE 1931 color space and in fact are "colors" that do not exist at all.)

Judd was the first to employ this type of transformation, and many others were to follow. Converting this RGB space to chromaticities one finds[4]Template:Clarify

Judd's UCS, with the Planckian locus and the isotherms from 1,000K to 10,000K, perpendicular to the locus. Judd then translated these isotherms back into the CIEXYZ color space. (The colors used in this illustration are illustrative only and do not correspond to the true colors represented by the respective points.)

u=0.4661x+0.1593yy0.15735x+0.2424

v=0.6581yy0.15735x+0.2424

or equivalently (for comparative purposes with the equations to follow):

u=5.5932x+1.9116y12y1.882x+2.9088

v=7.8972y12y1.882x+2.9088

MacAdam simplified Judd's UCS for computational purposes:

u=4x12y2x+3

v=6y12y2x+3

The Colorimetry committee of the CIE considered MacAdam's proposal at its 14th Session in Brussels for use in situations where more perceptual uniformity was desired than the (x,y) chromaticity space,[5] and officially adopted it as the standard UCS the next year.[6]

Relation to CIEXYZ

The CIE 1960 UCS, also known as the MacAdam (u,v) chromaticity diagram. Colors outside the colored triangle cannot be represented on most computer screens.

U, V, and W can be found from X, Y, and Z using:

U=23X
V=Y
W=12(X+3Y+Z)

Going the other way:

X=32U
Y=V
Z=32U3V+2W

We then find the chromaticity variables as:

u=UU+V+W=4XX+15Y+3Z
v=VU+V+W=6YX+15Y+3Z

We can also convert from u and v to x and y:

x=3u2u8v+4
y=2v2u8v+4

Relation to CIELUV

u=u
v=32v

References

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    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 (recommended reading)
  5. One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

    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
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