A long-term project initiated four years ago with the aim of establish
ing a consistent set of distances founded on ground-based photometry o
f Cepheid variables in the nearest late-type galaxies in the Local Gro
up, or just beyond it is reported on. An application is presented to t
hree Local Group galaxies (NGC 3109, Sextans A and Sextans B) of the m
ethod for studying the foreground plus internal extinction based on mu
lti-colour photometry of Cepheid variables.