Feature matching is a fundamental step for the solution of many geometric computer vision problems, such as SLAM, 3D registration, and image stitching. However, in each of these problems the ultimate goal is the estimation of geometric parameters related to the scene: the camera motion, the transformation between the 3D objects, the homography relating the images. A Bayesian approach should therefore treat the matches as nuisance parameters, and dispense with them accordingly. In this project we'll attack this problem through a unified framework, using fundamental methods for randomized algorithms, and validate the Bayesian solution against RANSAC and other matching algorithms. Two lines of work will be pursued:
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