10-Bit YUV to RGB

[chris319]

What is the most accurate way to convert 10-bit full-range YUV to RGB per BT.709?

I've searched for hours to no avail. I need the actual equation, not avisynth or ffmpeg code.

Thank you.

[chris319]

Here is what I have come up with for 10-bit YUV to RGB, BT.709, range = 0 - 1023.

r = y + 1.53964687446332*(v-512)
g = y - 0.457674666142168*(v-512) - 0.183142873500381*(u-512)
b = y + 1.8141786671051*(u-512)

[pandy]

Source please and specify if this is 709 or 601.

[chris319]

BT.709. BT.601 is passé.

Sources: https://forum.videohelp.com/threads/404883-Y-Cb-Cr-to-RGB?highlight=yuv#post2649538

https://forum.videohelp.com/threads/404883-Y-Cb-Cr-to-RGB?highlight=yuv#post2649468

[pandy]

Thx, whenever i see so many digits after point it's trig my curiosity and raise some question about computing accuracy.

[chris319]

Thx, whenever i see so many digits after point it's trig my curiosity and raise some question about computing accuracy.

Well it works the best of anything I've tried for BT.709, and I've tried several. There are still some off-by-one errors and one off-by-two error in 10 bit. It is probably what avisynth and ffmpeg should be using for BT.709. It works fine with single-precision floats and does not need double-precision floats. Again, I am using the values in RP-219 as a reference.

Sharc's math is over my head.