  The H magnitude aperture data published by the Aaronson et al. collaboration
over a 10-year period is collected into a homogeneous data set of 1731
observations of 665 galaxies. 96\% of these galaxies have isophotal diameters
and axial ratios determined by the Third Reference Catalogue of Bright Galaxies
(de Vaucouleurs et al. 1991), the most self-consistent set of optical data
currently available. The precepts governing the optical data in the RC3 are
systematically different from those of the Second Reference Catalogue (de
Vaucouleurs, de Vaucouleurs and Corwin 1976), which were used by Aaronson et
al. for their original analyses of galaxy peculiar motions. This in turn leads
to systematic differences in growth curves and fiducial H magnitudes, prompting
the present recalibration of the near-infrared Tully Fisher relationship. New
optically-normalized H magnitude growth curves are defined for galaxies of
types S0 to Im, from which new values of fiducial H magnitudes, H$\rm
_{-0.5}^g$, are measured for the 665 galaxies. A series of internal tests show
that these four standard growth curves are defined to an accuracy of 0.05 mag
over the interval $\rm -1.5 \leq \log (A/D_g) \leq -0.2$. Comparisons with the
Aaronson et al. values of diameters, axial ratios and fiducial H magnitudes
show the expected differences, given the different definitions of these
parameters. The values of H$\rm _{-0.5}^g$ are assigned quality indices; a
value of 1 indicates an accuracy of $<$0.2 magnitude; Quality 2 indicates an
accuracy of 0.2 to 0.35 mag; and Quality 3 indicates $>$0.35 mag. Revised
values of corrected HI velocity widths are also given, based on the new set of
axial ratios defined by the RC3.
