Empirical tests on 148 images show that the best colorspace for k-means quantization depends on the image and the target number of colors k, with RGB winning in roughly half the cases.
The use and manipulation of digital image files in light microscopy,
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Optimized $k$-means color quantization of digital images in machine-based and human perception-based colorspaces
Empirical tests on 148 images show that the best colorspace for k-means quantization depends on the image and the target number of colors k, with RGB winning in roughly half the cases.