Red eyes removal with The Gimp

There are many tutorials about red eyes removal with The Gimp. Many of them make suppositions on eyes configuration (visible or not visible iris, circular pupil, …) and are not usable on all photos.

I am using this one. It gives nearly perfect results in all cases. It looks like it’s concidered as opsolet by it’s author but I currently prefere it to the new version, which use channel mixer. May be I have to practice a bit more…