Issue No. 05 - May (2012 vol. 34)
Csaba Domokos , University of Szeged, Szeged
Jozsef Nemeth , University of Szeged, Szeged
Zoltan Kato , University of Szeged, Szeged
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.
Image registration, diffeomorphism, nonlinear transformation, planar homography, thin plate spline, shape matching.
J. Nemeth, C. Domokos and Z. Kato, "Nonlinear Shape Registration without Correspondences," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 34, no. , pp. 943-958, 2011.