Custom RGB colors

Re: Custom RGB colors
#10
Naive information theory says it should be the same as 24 bit, since you need 12 bits x 2 to represent it. But... many combinations of bits reduces the number of _unique_ pieces of 24 bit space you can sample. So it's actually much smaller.

You can easily show that, for each colour element, you can get every value from 0 to 2^4-1 and thus, the sum of the two (ignoring halving) means you can get every value from 0 to (2^4-1)*2 ie. 31 possible values.

Thus, you have a colour space of (31)^3=29791

And my maths and your program agree

Or in other words, by dithering you are disposing of 99.82% of the information.

If instead you dither across N elements, then you get (1+N*(2^4-1))^3 effective colour values
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 Messages In This Thread Custom RGB colors - by Stephen - 2014-02-20, 13:06 Re: Custom RGB colors - by Philippe Hurbain - 2014-02-20, 13:39 Re: Custom RGB colors - by Stephen - 2014-02-20, 13:53 Re: Custom RGB colors - by Travis Cobbs - 2014-02-20, 19:02 Re: Custom RGB colors - by Stephen - 2014-02-20, 20:11 Re: Custom RGB colors - by Michael Heidemann - 2014-02-20, 21:10 Re: Custom RGB colors - by Travis Cobbs - 2014-02-20, 22:05 Re: Custom RGB colors - by Michael Heidemann - 2014-02-21, 16:55 Re: Custom RGB colors - by Travis Cobbs - 2014-02-21, 21:41 Re: Custom RGB colors - by Tim Gould - 2014-02-21, 22:43 Re: Custom RGB colors - by Travis Cobbs - 2014-02-22, 0:01 Re: Custom RGB colors - by Michael Heidemann - 2014-05-02, 7:39 Re: Custom RGB colors - by Travis Cobbs - 2014-05-02, 16:44 Re: Custom RGB colors - by Michael Heidemann - 2014-05-02, 17:02 Re: Custom RGB colors - by Michael Heidemann - 2014-05-02, 11:10

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