By correcting the redshift-dependent distances for peculiar motions through
some peculiar velocity held models, we recover the true distances of an ex
tensive, all-sky sample of nearby galaxies (similar to 6400 galaxies with r
ecession velocities cz < 5500 km s(-1)) that is complete up to the apparent
limiting blue magnitude B = 14 mag. Relying on available catalogs of galax
y groups, we treat similar to 2700 objects as members of galaxy groups, and
the remaining objects as field galaxies;We invert the derived redshift-dis
tance relations to estimate distances for field galaxies and groups, and we
overcome the ambiguity inherent in the triple-valued zones;by using Tully-
Fisher relations calibrated on suitably defined samples of galaxies that ha
ve distances predicted by peculiar velocity models. We use two independent
approaches to model the peculiar velocity field: (1) a cluster dipole recon
struction scheme that we modify with the inclusion of a local model of Virg
ocentric infall and (2) a multiattractor model fitted to the Mark. II and M
ark III catalogs of galaxy peculiar velocities. In the multiattractor model
we assume that the velocity field is generated by a few prominent gravitat
ional sources (the Virgo cluster, the Great Attractor, the Perseus-Pisces s
upercluster, and the Shapley supercluster). We discuss differences in the r
esults from different velocity models and from different Mark II and Mark.
III data subsets. In particular, according to Mark III data, the Great Attr
actor appears to have a smaller influence on local dynamics than previously
believed, whereas the Perseus-Pisces and Shapley superclusters acquire a s
pecific dynamical role. Remarkably, the Shapley structure, which is found t
o account for nearly half the peculiar motion of the Local Group, is placed
by Mark III data closer to the zone of avoidance with respect to its optic
al position. On the other hand, the modified cluster dipole model is charac
terized by relatively small hows toward the Great Attractor and the Shapley
supercluster, together with a large Virgocentric infall. Our multiattracto
r model based on Mark III data favors a cosmological density parameter Omeg
a(o) similar to 0.5 (irrespective of a biasing factor of order unity). The
use of different peculiar velocity field models allows us to check to what
extent differences in current views on cosmic hows affect the recovery of g
alaxy distances. We iind that differences among distance estimates are less
pronounced in the similar to 2000-4000 km s(-1) distance range than at lar
ger or smaller distances. In the last regions, these differences have a ser
ious impact on the three-dimensional maps of the galaxy distribution and on
the local galaxy density ton small scales, <1 Mpc), which is a crucial par
ameter being used in statistical studies of environmental effects on the pr
operties of nearby galaxies.