We analyze new V-band images of 14 dwarf S0 galaxies and 10 dwarf elliptica
l galaxies in the Virgo Cluster, in combination with R-band images of 70 dw
arf elliptical galaxies from an earlier paper. We compute the intensity-wei
ghted mean ellipticity, the mean deviations from elliptical isophotes, and
a newly defined parameter to measure isophotal twists. We also fit each maj
or-axis profile to a power law Sigma(a) proportional to exp [-(a/a(s))(n)],
where n is allowed to vary. Consistent with other studies of the Virgo dwa
rf ellipticals, we find that the profile shapes for the entire sample is st
rongly peaked near n = 1 (exponential profiles) and that no galaxies have n
= 1/4 (de Vaucouleurs pro file). The faintest galaxies all have nearly exp
onential profiles, while the brighter ones on average have n < 1. The corre
lation between ellipticity and the boxy/disky parameter is similar to that
of large elliptical galaxies, suggesting that dwarfs may also be divided in
to two groups with differing internal dynamics. The Virgo dEs also show a g
reater degree of isophotal twisting than more luminous elliptical galaxies.
There does not seem to be any combination of parameters from the surface p
hotometry that statistically correlates with the dE/dS0 designation: in par
ticular, the dS0 galaxies do not, on average, have more pointed (disky) iso
photes than the dEs.