# [theora] YCbCr <-> RGB conversion question

Ondrej Certik ondrej at certik.cz
Mon Jun 15 18:02:52 PDT 2009

```Hi,

I coded some routines for YCbCr <-> RGB conversion, both using
floating point numbers and using integer arithmetics, code is
attached.

Let's say I want to convert from RGB to YCbCr and back. First the
integer arithmetics:

In [1]: from colors import *

In [2]: a = [255, 0, 255]

In [3]: RGB2YCbCr(a)
Out[3]: (107, 202, 222)

In [4]: YCbCr2RGB(RGB2YCbCr(a))
Out[4]: array([255,   1, 255])

As you can see, the G component was increased from 0 to 1. Those
routines are the same as here:

http://msdn.microsoft.com/en-us/library/ms893078.aspx

Now let's try floating point conversions:

In [3]: RGB2YCbCr_precise(a)
Out[3]: array([106, 202, 222], dtype=uint8)

In [4]: YCbCr2RGB_precise(RGB2YCbCr_precise(a))
Out[4]: array([255,   0, 254], dtype=uint8)

This time the B component was decreased by 1... Those floating point
routines were done by me, and I followed the theora spec.

So my questions are:

* does anyone here have a code, that can convert back and forth
without loosing precision?
* does it make sense for those routines to work back and forth exactly?

I am new to this, so I am not sure what the common practise is, but it
seems weird to me, that if I convert the picture from YCbCr to RGB and
back couple times, the image will slowly deteriorate.

Ondrej
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