An Investigation of Sloan Digital Sky Survey Imaging Data and Multi-Band
  Scaling Relations of Spiral Galaxies (with Dynamical Information)
  We have compiled a sample of 3041 spiral galaxies with multi-band gri imaging
from the Sloan Digital Sky Survey (SDSS) Data Release 7 and available galaxy
rotational velocities derived from HI line widths. We compare the data products
provided through the SDSS imaging pipeline with our own photometry of the SDSS
images, and use the velocities (V) as an independent metric to determine ideal
galaxy sizes (R) and luminosities (L). Our radial and luminosity parameters
improve upon the SDSS DR7 Petrosian radii and luminosities through the use of
isophotal fits to the galaxy images. This improvement is gauged via VL and RV
relations whose respective scatters are reduced by ~8% and ~30% compared to
similar relations built with SDSS parameters. The tightest VRL relations are
obtained with the i-band radius, R235i, measured at 23.5 mag/arcsec^-2, and the
luminosity L235i, measured within R235i. Our VRL scaling relations compare
well, both in scatter and slope, with similar studies (such comparisons however
depend sensitively on the nature and size of the compared samples). The typical
slopes, b, and observed scatters, sigma, of the i-band VL, RL and RV relations
are bVL=0.27+/-0.01, bRL=0.41+/-0.01, bRV=1.52+/-0.07, and sigmaVL=0.074,
sigmaRL=0.071, sigmaRV=0.154 dex. Similar results for the SDSS g and r bands
are also provided. Smaller scatters may be achieved for more pruned samples. We
also compute scaling relations in terms of the baryonic mass (stars + gas),
Mbar, ranging from 10^8.7 Msol to 10^11.6 Msol. Our baryonic velocity-mass (VM)
relation has slope 0.29+/-0.01 and a measured scatter sigma_meas = 0.076 dex.
While the observed VL and VM relations have comparable scatter, the stellar and
baryonic VM relations may be intrinsically tighter, and thus potentially more
fundamental, than other VL relations of spiral galaxies.
