Income inequality metrics: Difference between revisions

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{{otheruses}}
In [[colorimetry]], '''whiteness''' is the degree to which a surface is white. An example of its use might be to quantitatively compare two pieces of paper which appear white viewed individually, but not when juxtaposed.


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The [[International Commission on Illumination]] describes it in the following terms:
 
{{quote|To promote uniformity of practice in the evaluation of whiteness of surface colors, it
is recommended that the formulæ for whiteness, W<sub>2</sub> or W<sub>10</sub>, and for [[tint]], T<sub>w,2</sub> or T<sub>w,10</sub>, given below, be used for comparisons of the whiteness of samples evaluated for CIE [[standard illuminant]] [[CIE Standard Illuminant D65|D65]]. The application of the formulae is restricted to samples that are called "white" commercially, that do not differ much in color and fluorescence, and that are measured on the same instrument at nearly the same time. Within these restrictions, the formulæ provide relative, but not absolute, evaluations of whiteness, that are adequate for commercial use, when employing measuring instruments having suitable modern and commercially available facilities.|[http://www.cie.co.at/publ/abst/15-2004.html CIE Publication 15:2004]}}
 
==Calculation==
<math>W_2=Y_2+800(x_{n,2}-x_2)+1700(y_{n,2}-y_2)</math>
 
<math>W_{10}=Y_{10}+800(x_{n,10}-x_{10})+1700(y_{n,10}-y_{10})</math>
 
<math>T_{w,2}=1000(x_{n,2}-x_2)-650(y_{n,2}-y_2)</math>
 
<math>T_{w,10}=900(x_{n,10}-x_{10})-650(y_{n,10}-y_{10})</math>
 
where
 
* Y is the Y [[tristimulus value]] ([[relative luminance]]),
* (x,y) is the [[chromaticity coordinate]] in the [[CIE 1931 color space]]
* (x<sub>n</sub>,y<sub>n</sub>) is the chromaticity coordinate of the [[diffuser (optics)#Perfect reflecting diffuser|perfect diffuser]] (reference white)
 
The numbers in the subscript indicate the observer: two for the CIE 1931 [[standard observer]] and ten for the CIE 1964 standard observer.
 
===Notes===
* W increases with whiteness, reaching 100 for the perfect diffuser.
* The tint is green for positive T and red for negative T.
* Equal differences in W may not appear equally different.
 
==See also==
* [[Color temperature]]
 
==References==
* {{cite book|title=Colorimetry: Understanding the CIE System|first=János|last=Schanda|publisher=[[Wiley Interscience]]|year=2007|chapter=Chapter 3: CIE Colorimetry|pages=68–70|isbn=978-0-470-04904-4}}
 
==External links==
*[http://www.iso.org/iso/en/CatalogueDetailPage.CatalogueDetail?CSNUMBER=21984&ICS1=59&ICS2=80&ICS3=1 ISO 105-J02:1997 Textiles -- Tests for colour fastness -- Part J02: Instrumental assessment of relative whiteness]
*[http://www.iso.org/iso/en/CatalogueDetailPage.CatalogueDetail?CSNUMBER=39743&ICS1=85&ICS2=60&ICS3= ISO 11475:2004 Paper and board -- Determination of CIE whiteness, D65/10 degrees (outdoor daylight)]
*[http://www.iso.org/iso/en/CatalogueDetailPage.CatalogueDetail?CSNUMBER=19428&ICS1=85&ICS2=60&ICS3= ISO 11476:2000 Paper and board -- Determination of CIE-whiteness, C/2 degree (indoor illumination conditions)]
*[http://www.iso.org/iso/en/CatalogueDetailPage.CatalogueDetail?CSNUMBER=44136&scopelist=PROGRAMME ISO/AWI 11476 Paper and board -- Determination of CIE-whiteness, C/2 degree (indoor illumination conditions)]
* Konica Minolta Sensing: [http://www.konicaminolta.eu/fileadmin/content/eu/Measuring_Instruments/4_Learning_Centre/C_A/The_colour_of_white/Apps_Note_2_-_Whiteness_indices_and_standards.pdf The colour of White]
* TAPPI - why the CIE 1931 color space does not work for white paper: [http://www.tappi.org/Downloads/unsorted/UNTITLED---spg0398pdf.aspx COMPARATIVE STUDY OF BRIGHTNESS/WHITENESS USING VARIOUS ANALYTICAL METHODS ON COATED PAPERS CONTAINING COLORANTS] Aksoy, Joyce, Fleming, Department of Paper and Printing Science and Engineering, Western Michigan University
 
[[Category:Color]]
[[Category:Textile properties]]

Revision as of 22:16, 30 January 2014

Template:Otheruses In colorimetry, whiteness is the degree to which a surface is white. An example of its use might be to quantitatively compare two pieces of paper which appear white viewed individually, but not when juxtaposed.

The International Commission on Illumination describes it in the following terms:

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Calculation

W2=Y2+800(xn,2−x2)+1700(yn,2−y2)

W10=Y10+800(xn,10−x10)+1700(yn,10−y10)

Tw,2=1000(xn,2−x2)−650(yn,2−y2)

Tw,10=900(xn,10−x10)−650(yn,10−y10)

where

The numbers in the subscript indicate the observer: two for the CIE 1931 standard observer and ten for the CIE 1964 standard observer.

Notes

  • W increases with whiteness, reaching 100 for the perfect diffuser.
  • The tint is green for positive T and red for negative T.
  • Equal differences in W may not appear equally different.

See also

References

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External links

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