颜色空间转换公式

待我称王封你为后i 2022-08-05 07:22 379阅读 0赞

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Useful Color Equations  
[http://www.brucelindbloom.com/index.html?Equations.html][http_www.brucelindbloom.com_index.html_Equations.html]

网页[http://www.brucelindbloom.com/index.html?Equations.html][http_www.brucelindbloom.com_index.html_Equations.html]

收集了绝大部分的颜色空间转换的公式

# Useful Color Equations #

The following table contains links to mathematical equations for converting among various CIE color representations. An implementation of these may be found in my[CIE Color Calculator][]. You can see from this table that some color conversions may be accomplished by single steps, while others may require several intermediate steps to reach the final goal.

<table style=""> 
 <tbody> 
 <tr> 
 <th>From</th> 
 <th colspan="7">To</th> 
 </tr> 
 <tr> 
 <th>XYZ</th> 
 <th>xyY</th> 
 <th>Lab</th> 
 <th>LCHab</th> 
 <th>Luv</th> 
 <th>LCHuv</th> 
 <th>RGB</th> 
 </tr> 
 <tr> 
 <td align="center">Spectrum</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Spect_to_XYZ.html" rel="nofollow">Spectrum to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">XYZ</td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">xyY</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a></td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html" rel="nofollow">xyY to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">Lab</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">LCHab</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a></td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Lab.html" rel="nofollow">LCH(ab) to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_XYZ.html" rel="nofollow">Lab to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">Luv</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(uv)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">LCHuv</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a></td> 
 <td align="center">-</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_LCH_to_Luv.html" rel="nofollow">LCH(uv) to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_XYZ.html" rel="nofollow">Luv to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_RGB.html" rel="nofollow">XYZ to RGB</a></td> 
 </tr> 
 <tr> 
 <td align="center">RGB</td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_xyY.html" rel="nofollow">XYZ to xyY</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Lab.html" rel="nofollow">XYZ to Lab</a> <a href="http://www.brucelindbloom.com/Eqn_Lab_to_LCH.html" rel="nofollow">Lab to LCH(ab)</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a></td> 
 <td align="center"><a href="http://www.brucelindbloom.com/Eqn_RGB_to_XYZ.html" rel="nofollow">RGB to XYZ</a> <a href="http://www.brucelindbloom.com/Eqn_XYZ_to_Luv.html" rel="nofollow">XYZ to Luv</a> <a href="http://www.brucelindbloom.com/Eqn_Luv_to_LCH.html" rel="nofollow">Luv to LCH(ab)</a></td> 
 <td align="center">-</td> 
 </tr> 
 </tbody> 
</table>

## Other Assorted Equations ##

• Color differences

*  [Delta E (CIE 1976)][Delta E _CIE 1976]
 *  [Delta E (CIE 1994)][Delta E _CIE 1994]
 *  [Delta E (CMC)][Delta E _CMC]

• [Convert from the correlated color temperature of a CIE D-illuminant to the chromaticity of that D-illuminant.][]

• [Chromatic adaptation.][]

• [Computing RGB-to-XYZ and XYZ-to-RGB matrices.][]

• [Murray-Davies dot gain equation.][]

• [Finding the best gamma from a data set.][]

• [Spectral power distribution of a blackbody radiator.][]

[http_www.brucelindbloom.com_index.html_Equations.html]: http://www.brucelindbloom.com/index.html?Equations.html
[CIE Color Calculator]: http://www.brucelindbloom.com/ColorCalculator.html
[Delta E _CIE 1976]: http://www.brucelindbloom.com/Eqn_DeltaE_CIE76.html
[Delta E _CIE 1994]: http://www.brucelindbloom.com/Eqn_DeltaE_CIE94.html
[Delta E _CMC]: http://www.brucelindbloom.com/Eqn_DeltaE_CMC.html
[Convert from the correlated color temperature of a CIE D-illuminant to the chromaticity of that D-illuminant.]: http://www.brucelindbloom.com/Eqn_T_to_xy.html
[Chromatic adaptation.]: http://www.brucelindbloom.com/Eqn_ChromAdapt.html
[Computing RGB-to-XYZ and XYZ-to-RGB matrices.]: http://www.brucelindbloom.com/Eqn_RGB_XYZ_Matrix.html
[Murray-Davies dot gain equation.]: http://www.brucelindbloom.com/Eqn_DotGain.html
[Finding the best gamma from a data set.]: http://www.brucelindbloom.com/Eqn_BestGamma.html
[Spectral power distribution of a blackbody radiator.]: http://www.brucelindbloom.com/Eqn_Blackbody.html