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2.2.5 感知空间的统一
视觉色彩空间的统一是源自CIE XYZ的非线性变换。CIE LUV是1967UCS色度坐标u′、v′、Y的变换:
若Y/Yn≥0.008 856,
则
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_2.jpg?sign=1739364986-MqonUsFPgNh24TuaEtI8EHBbRVrxXN0x-0-e496f6de7d825a699d2832463a77a2a5)
若Y/Yn<0.008 856,
则
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_3.jpg?sign=1739364986-WSzR2yua48t19EyvS7oYICWTnyiXHMem-0-26e49d5ab7146acc82f15660c7a83e48)
式中,L*为亮度。Xn、Yn、Zn为光源的三色刺激值,并且有
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_4.jpg?sign=1739364986-v3JXnIxun053miBfWdlA8HmAAkEcgnq1-0-fe0b986949808e97f2068ca51114bf71)
在CIE LUV中的色差为欧几里得距离公式:
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_5.jpg?sign=1739364986-U5MCZKxXBlK978Nbz4JoVQpLOF2Kmfgz-0-05189d11af2ed403125be039da11cc8e)
有时需要鉴定色差的成分,用来作为感知色调和色度的相关性。相对色度定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_6.jpg?sign=1739364986-Pj4cW9Fh4kDwTf71oRYRARWAnR1wCxBE-0-a3ad1892c9915e139d2a1a38c09cc386)
相对色度属性被称为“饱和度”,定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_51_7.jpg?sign=1739364986-SnGmHLD32w1cxFfRTlQYWBNWSJADRhAL-0-0a30c69b8400d30b2c75283b82254d88)
或
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_1.jpg?sign=1739364986-sQfEbn65cNBKwcXsQvtXniPl8xbBcOx2-0-d16189ab0add3a92e4fe3dc54f3dc559)
色相角定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_2.jpg?sign=1739364986-Gq50L6UVwjFQDIB031iKTs5iSGv8V7YS-0-c01026d2e2bd05081c426f192b219c81)
色相差定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_3.jpg?sign=1739364986-IhoAkHBBXjCP0oOy7wai8pSaduRQdiQC-0-bd42f104b49ceae5dd06607495b82918)
由CIE LAB是1931 CIE XYZ的非线性变换,可得到式(2-21):
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_4.jpg?sign=1739364986-DpMIktUvMdELjTlLcJIbbJ0MpjYXMH1M-0-6a34f8a94a5248ccc79d09ee969d8cc5)
且
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_5.jpg?sign=1739364986-VSSBbtDvVqXH3j8ntEnzQ7LKY21qg3RQ-0-810c4cf959ef36d85a592094c819901f)
与CIE LUV相似,相对色度定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_6.jpg?sign=1739364986-ds7FmGfJMIyU7B0kfUxPO5NU1fV1SM25-0-4037d51010de7adb07b59d1fa70f39a9)
色相角定义为
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_7.jpg?sign=1739364986-XIDzw3HRkeaoXwRys2BUtJQemBRjolw6-0-9056c0c7a38521aa1e5c6559764c5f27)
色差定义为CIE LAB的三维空间欧几里得距离,如式(2-25):
![](https://epubservercos.yuewen.com/04AB2E/23020650109760606/epubprivate/OEBPS/Images/42055_52_9.jpg?sign=1739364986-IwrG7AQBDSPviZkzTrP1DYkLen50iLZG-0-c7f03cedd31ce590850ffd71317609d1)
明显的色差是一个ΔEab单位。CIE LAB可能是当今最为普及的色彩空间,然而为感知小范围的色彩而获得合适且统一的算法这个问题还没有解决。CIE在评估色彩差异调整方面还需要继续努力研究。