The relation between visual surface brightness and (b - y)(0) color index i
s constructed for eclipsing binaries with Hipparcos parallaxes and photomet
ry in the Stromgren four-color ubvy system. The relation is consistent with
the Popper relation derived for stars with angular diameters obtained main
ly from interferometry or from the lunar occultation method. It is shown th
at the Lutz-Kelker correction to magnitudes is in this case negligible.