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 exposures 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.
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