by Csaba Domokos, Jozsef Nemeth, Zoltan Kato
Abstract:
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.
Reference:
Csaba Domokos, Jozsef Nemeth, Zoltan Kato, Nonlinear Shape Registration without Correspondences, In IEEE Transactions on Pattern Analysis and Machine Intelligence, volume 34, no. 5, pp. 943-958, 2012.
Bibtex Entry:
@string{tpami="IEEE Transactions on Pattern Analysis and Machine Intelligence"}
@ARTICLE{Domokos-etal2012,
author = {Domokos, Csaba and Nemeth, Jozsef and Kato, Zoltan},
title = {Nonlinear Shape Registration without Correspondences},
journal = tpami,
year = {2012},
volume = {34},
pages = {943--958},
number = {5},
month = may,
abstract = {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.},
doi = {10.1109/TPAMI.2011.200},
issn = {0162-8828},
pdf = {papers/pami2012.pdf}
}