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Non-rigid registration of shapes via diffeomorphic point matching

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4 Author(s)
Guo, H. ; Dept. of CISE, Florida Univ., FL, USA ; Rangarajan, A. ; Joshi, S. ; Younes, L.

Diffeomorphic non-rigid registration of shapes is a very difficult problem. We use the point-set representation for shapes since statistical shape analysis in this space is relatively straightforward. Diffeomorphic matching of point-sets requires an automated solution to the very difficult correspondence problem. We describe a joint clustering and diffeomorphism estimation strategy which allows us to simultaneously estimate the correspondence and fit a diffeomorphism between two unlabeled point-sets. Essentially, the cluster centers in each point-set are always in correspondence by virtue of having the same index. During clustering, the cluster center counterparts in each point-set are linked by a diffeomorphism and hence are forced to move in lock-step with one another. Experimental results are shown for 2D corpus callosum point-sets.

Published in:

Biomedical Imaging: Nano to Macro, 2004. IEEE International Symposium on

Date of Conference:

15-18 April 2004