Which conversion formula does matlab use for rgb2ycbcr?

In the documentation for rgb2ycbcr, the jpeg recommendation https://www.itu.int/dms_pubrec/itu-r/rec/bt/R-REC-BT.601-7-201103-I!!PDF-E.pdf is given as reference. However, i checked the values of luminance channel using rgb2ycbcr as well as directly using the jpeg recommended conversion formula and the luminance channel values are not the same.

i=imread('peppers.png');
YCBCR = rgb2ycbcr(i);
y=YCBCR(:,:,1);
r=i(:,:,1);g=i(:,:,2);b=i(:,:,3);
oury=min(max(0,round(0.299*r+0.587*g+0.114*b)),255);

The values in y and oury differ by ~10. I want to confirm if there's something wrong with my manual approach or matlab uses a slightly different formula?

Answer 1

[Walter Roberson]

Assuming uint8, the code uses

        [0.256788235294118         0.504129411764706        0.0979058823529412
        -0.148223529411765        -0.290992156862745          0.43921568627451
          0.43921568627451        -0.367788235294118       -0.0714274509803921] * [R;G;B] + [16;128;128]
 
% This matrix comes from a formula in Poynton's, "Introduction to
% Digital Video" (p. 176, equations 9.6).

See the source code, line 66 or so, matrix origT and divide by the scale factor 255 for uint8

[Mohana Singh]

Just found out that 'rgb2gray' infact uses the `0.299*r+0.587*g+0.114*b` formula as per the source code.