  Finding correspondences in wide baseline setups is a challenging problem.
Existing approaches have focused largely on developing better feature
descriptors for correspondence and on accurate recovery of epipolar line
constraints. This paper focuses on the challenging problem of finding
correspondences once approximate epipolar constraints are given. We introduce a
novel method that integrates a deformation model. Specifically, we formulate
the problem as finding the largest number of corresponding points related by a
bounded distortion map that obeys the given epipolar constraints. We show that,
while the set of bounded distortion maps is not convex, the subset of maps that
obey the epipolar line constraints is convex, allowing us to introduce an
efficient algorithm for matching. We further utilize a robust cost function for
matching and employ majorization-minimization for its optimization. Our
experiments indicate that our method finds significantly more accurate maps
than existing approaches.
