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In Defence of RANSAC for Outlier Rejection in Deformable Registration

Quoc-Huy Tran1, Tat-Jun Chin1, Gustavo Carneiro1, Michael S. Brown2, and David Suter1

1School of Computer Science, The University of Adelaide, Australia
huy@cs.adelaide.edu.au
tjchin@cs.adelaide.edu.au
carneiro@cs.adelaide.edu.au
dsuter@cs.adelaide.edu.au

2School of Computing, National University of Singapore, Singapore
brown@comp.nus.edu.sg

Abstract. This paper concerns the robust estimation of non-rigid deformations from feature correspondences. We advance the surprising view that for many realistic physical deformations, the error of the mismatches (outliers) usually dwarfs the effects of the curvature of the manifold on which the correct matches (inliers) lie, to the extent that one can tightly enclose the manifold within the error bounds of a low-dimensional hyperplane for accurate outlier rejection. This justifies a simple RANSAC-driven deformable registration technique that is at least as accurate as other methods based on the optimisation of fully deformable models. We support our ideas with comprehensive experiments on synthetic and real data typical of the deformations examined in the literature.

LNCS 7575, p. 274 ff.

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