The correlation between the effective radius re and surface brightness μe for elliptical galaxies is a fundamental scaling law that theories of galaxy formation must explain. When re and μe are derived by fitting two-parameter fitting functions such as the de Vaucouleurs r1/4 law to brightness profiles, the errors in the parameters are strongly coupled. The purpose of this paper is to rederive the μe(log re) relations for ellipticals and bulges, taking account of the coupling in the errors and using only high-accuracy CCD data. Our preliminary conclusions are: (1) The coupled errors are too small to affect significantly the correlation derived for elliptical galaxies. (2) The correlation for bulges is not very different from that for ellipticals, but the galaxy sample is small and the errors in the parameters are large due to the inherent uncertainty in bulge-disk decomposition.