what could probably be the reason why a conversion HSV to BGR and the reverse operation BGR to HSV doesn't match?
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You should give us an example and what formula you used. Your question is too generic. causes: lack of precision (use floating point), different definition of BGR or HSV (yeah there are different definition, you hsould take compatible conversions) – Giacomo Catenazzi Aug 19 '20 at 15:04
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You'll have to give us a little bit more to go on. Do you have a specific instance that's not working properly? Are you doing this by hand, or implementing it in code, or with some library? Please add a [mre] to your question. – beaker Aug 19 '20 at 15:08
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Try which black, then white, then red. Usually you get very good hints where it is the problem (you know what are the expected values both on HSV, and RGB) – Giacomo Catenazzi Aug 19 '20 at 15:36