  Next generation probes of dark matter and dark energy require high precision
reconstruction of faint galaxy shapes from hundreds of dithered exposures.
Current practice is to stack the images. While valuable for many applications,
this stack is a highly compressed version of the data. Future weak lensing
studies will require analysis of the full dataset using the stack and its
associated catalog only as a starting point. We describe a "Multi-Fit"
algorithm which simultaneously fits individual galaxy exposures to a common
profile model convolved with each exposure's point spread function at that
position in the image. This technique leads to an enhancement of the number of
usable small galaxies at high redshift and, more significantly, a decrease in
systematic shear error.
