  Galaxies in the Hubble Ultra Deep Field (UDF) larger than 10 pixels (0.3
arcsec) have been classified according to morphology and their photometric
properties are presented. There are 269 spirals, 100 ellipticals, 114 chains,
126 double-clump, 97 tadpole, and 178 clump-cluster galaxies. We also
catalogued 30 B-band and 13 V-band drop-outs and calculated their star
formation rates. Chains, doubles, and tadpoles dominate the other types at
faint magnitudes. The fraction of obvious bars among spirals is ~10 percent, a
factor of 2-3 lower than in other deep surveys. The distribution function of
axial ratios for elliptical galaxies is similar to that seen locally,
suggesting that ellipticals relaxed quickly to a standardized shape. The
distribution of axial ratios for spiral galaxies is significantly different
than locally, having a clear peak at ~0.55 instead of a nearly flat
distribution. The fall-off at small axial ratio occurs at a higher value than
locally, indicating thicker disks by a factor of ~2. The fall-off at high axial
ratio could be from intrinsic triaxial shapes or selection effects. Inclined
disks should be more highly sampled than face-on disks near the surface
brightness limit of a survey. Simple models and data distributions demonstrate
these effects. The decreased numbers of obvious spiral galaxies at high
redshifts could be partly the result of surface brightness selection.
