  The Laplacian gauge on the lattice is investigated numerically using U(1) and
SU(2) gauge fields. The problem of Gribov ambiguities is addressed and to asses
the smoothness of the gauge fixed configurations, they are compared to
configurations fixed to the Landau gauge. The results of these comparisons with
the Landau gauge indicate that Laplacian gauge fixing works very well in
practice and offers a viable alternative to Landau gauge fixing.
