When there is random scattering between a source and an imaging telesc
ope or interferometer, it is known that the angular resolution that ca
n be attained with a long exposure observation is below the ideal limi
t. Techniques such as speckle and self-calibration permit the use of s
hort exposure data to restore the full resolution of the instrument. W
e show in this Letter that, under certain circumstances involving very
strong scattering, short exposure data can actually be used to enhanc
e the angular resolution to well beyond the ideal limit. Schematic des
igns for an interferometer to make use of this effect are presented.