# What is the name of this color transformation?

This is a question regarding color transformation in images. I have this color transformation matrix I am using to convert an RGB image to a color space whose name I do not know:

T = [(1/3) (1/3) (1/3); (1/2) 0 (-1/2); (-1/2) 1 (-1/2)]


What is the name of this color transform? I think I once saw somewhere that it is called KL transform because it was close to a KLT computed over a large collection of images, but I am not sure...

I do not know the name of your transformation $T$, but it can't be the Karhunen-Loeve transform: The Karhunen-Loeve transform is image specific and its transformation matrix is a rotation matrix (see for example the KLT in Mathematica).