01673nas a2200169 4500008004100000020001400041245005700055210005700112260001500169300001400184490000700198520116800205100001901373700001901392700001701411856007501428 2012 eng d a0162-882800aNonlinear Shape Registration without Correspondences0 aNonlinear Shape Registration without Correspondences bIEEEc2012 a943 - 9580 v343 a

In this paper, we propose a novel framework to estimate the parameters of a diffeomorphism that aligns a known shape and its distorted observation. Classical registration methods first establish correspondences between the shapes and then compute the transformation parameters from these landmarks. Herein, we trace back the problem to the solution of a system of nonlinear equations which directly gives the parameters of the aligning transformation. The proposed method provides a generic framework to recover any diffeomorphic deformation without established correspondences. It is easy to implement, not sensitive to the strength of the deformation, and robust against segmentation errors. The method has been applied to several commonly used transformation models. The performance of the proposed framework has been demonstrated on large synthetic data sets as well as in the context of various applications.

 

1 aDomokos, Csaba1 aNemeth, Jozsef1 aKato, Zoltan uhttp://www.inf.u-szeged.hu/~kato/papers/TPAMI-2010-03-0146.R2_Kato.pdf