On 04/02/2014 04:43 PM, marti.ma...@littlecms.com wrote:
>
>
> Hi,
>
> The ICC file format stores matrix of sRGB as 15.16 fixed point, that
> means the precision you have is 1 / ((1 << 16) - 1) which is
> about 1.5e-5 Since evaluating the matrix implies multiplication
> and addition, the final precision is reduced to 1e-3, that means
> only two decimal places are accurate. This is not a major problem
> because is far below 1 dE.
>

Hi Marti,

My apologies, I didn't understand all of what you said. Are you saying 
that conversions to sRGB are only accurate to two decimal places, 
meaning somewhat less than five significant digits in terms of floating 
point precision?

Previously I tested 32-bit floating point round-trip conversions from 
ProPhotoRGB to sRGB and back using your wonderful unbounded mode ICC 
profile conversions. The round trip conversion (using only profiles from 
disk and involving 4 sequential ICC profile conversions) is 100% lossless:
http://ninedegreesbelow.com/photography/lcms2-unbounded-mode.html#pro2srgb

I would have expected rounding errors during the unbounded mode round 
trip conversions if the conversions were accurate only to two decimal 
places. How is the round-trip conversion lossless despite only two 
decimal places of accuracy? My ability to visualize/grasp the math fails 
at this point.

 >
 > The in-memory built-in is not quantized and does not have this
 > problem, as soon as you serialize it, you got quantization.
 >

Are you saying the conversion to the built-in profile that was created 
and stored in memory is more accurate? or less accurate? than the 
conversion to the same profile that's been saved to disk? It seems to me 
that it's less accurate.

Here's another example of transicc output with less confusing RGB 
values. In this case transicc converts from a linear gamma version of 
the lcms built-in sRGB (cmsCreate_sRGBProfile) that had been created and 
saved to disk.

When converting from linear to regular sRGB (both profiles using the 
same primaries and white point), the resulting output RGB values should 
match the source RGB values for all source values like (0,0,0), 
(255,255,255), (255,0,0), etc.

Converting to the built-in lcms sRGB profile that had been created and 
saved to disk:

$ transicc -w -c0 -b -t1 -i sRGB-lcms-primaries-wtpt-V4-g100.icc -o 
sRGB-lcms-primaries-wtpt-V4-srgbtrc.icc

255 255 255
R=255.0000 G=255.0000 B=255.0000

255 0 0
R=255.0000 G=0.0000 B=-0.0000

0 255 0
R=-0.0002 G=255.0000 B=-0.0000

0 0 255
R=-0.0001 G=0.0000 B=255.0000

The figures above are accurate to almost 4 decimal places.


Converting to the lcms built-in sRGB profile:

$ transicc -w -c0 -b -t1 -i sRGB-lcms-primaries-wtpt-V4-g100.icc -o *sRGB
255 255 255
R=254.9988 G=255.0029 B=254.9981

0 255 0
R=0.0254 G=255.0008 B=0.0153

0 0 255
R=0.0034 G=0.0343 B=254.9988

The figures above are accurate to 2 decimal places.

So it looks to me like conversions to the profile that had been saved to 
disk are more accurate.


GIMP from git does 32-bit unbounded mode floating point conversions from 
the source color space profile (which may be a linear gamma color space) 
to sRGB (and possibly to linear gamma sRGB), keeping the out-of-gamut 
RGB values rather than clipping them. So the conversions do need to be 
accurate.

Can I modify the GIMP ICC profile conversion code to make conversions to 
the GIMP built-in sRGB *exactly* match conversions to the same profile 
that has been saved to disk? Perhaps there is an optimization switch 
that needs to be set or unset?

Or is the only alternative rewriting the GIMP code to save the built-in 
profile to disk and then convert to the disk copy instead of to the copy 
in memory?



> So, that is because the XYZ representation of file format. You
> may want to use LUT based profiles instead.
>

This possible sRGB LUT profile, is there one that can be made with LCMS? 
Can it be used for unbounded mode ICC profile conversions? When 
converting to the LUT profile in memory, will the accuracy be better 
than or at least as good as the accuracy when converting to a matrix 
sRGB profile from disk?

> Regards
> Marti
>

Best regards,
Elle



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