  We establish exact recovery for the Least Unsquared Deviations (LUD)
algorithm of Ozyesil and Singer. More precisely, we show that for sufficiently
many cameras with given corrupted pairwise directions, where both camera
locations and pairwise directions are generated by a special probabilistic
model, the LUD algorithm exactly recovers the camera locations with high
probability. A similar exact recovery guarantee was established for the
ShapeFit algorithm by Hand, Lee and Voroninski, but with typically less
corruption.
