  Partial transfer absorption imaging (PTAI) of ultracold atoms allows for
repeated and minimally-destructive measurements of an atomic ensemble. Here, we
present a reconstruction technique based on PTAI that can be used to piece
together the non-uniform spatial profile of high-density atomic samples using
multiple measurements. We achieved a thirty-fold increase of the effective
dynamic range of our imaging, and were able to image otherwise saturated
samples with unprecedented accuracy of both low- and high-density features.
