  Quantitative dynamical models of galaxies require deprojecting the observed
surface brightness to determine the luminosity density of the galaxy. Existing
deprojection methods for axisymmetric galaxies assume that a unique
deprojection exists for any given inclination, even though the projected
density is known to be degenerate to the addition of "konus densities" that are
invisible in projection. We develop a deprojection method based on linear
regularization that can explore the range of luminosity densities statistically
consistent with an observed surface brightness distribution. The luminosity
density is poorly constrained at modest inclinations (i > ~30 deg), even in the
limit of vanishing observational errors. In constant mass-to-light ratio,
axisymmetric, two-integral dynamical models, the uncertainties in the
luminosity density result in large uncertainties in the meridional plane
velocities. However, the projected line-of-sight velocities show variations
comparable to current typical observational uncertainties.
