Abstract: Matching or tracking interest points between several views is one of the keystones of many computer vision applications. The procedure generally consists in several independent steps, basically interest point extraction, then interest point matching by keeping only the ''best correspondences'' with respect to similarity between some local descriptors, and final correspondence pruning to keep those that are consistent with a realistic camera motion (here, consistent with epipolar constraints or homography transformation.) Each step in itself is a delicate task which may endanger the whole process. In particular, repeated patterns give lots of false correspondences in descriptor-based matching which are hardly, if ever, recovered by the final pruning step. We discuss here the specific difficulties raised by repeated patterns in the point correspondence problem. Then we show to what extent it is possible to address these difficulties. Starting from a statistical model by Moisan and Stival, we propose a one-stage approach for matching interest points based on simultaneous descriptor similarity and geometric constraint. The resulting algorithm has adaptive matching thresholds and is able to pick up point correspondences beyond the nearest neighbour. We also discuss Generalized Ransac and we show how to improve Morel and Yu's Asift, an effective point matching algorithm to make it more robust to the presence of repeated patterns.