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HSV is supposed to be the same, no matter where you convert to HSV from, no?
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If you consider the colorspace HSV, then of course this is true. The main issue is whether the hue (as in atn(v/u)) is the same as the hue in HSV. Personally i don't think so, but i have no idea in
what sense the two are different (other then the zero degree position, but that's not really important).