"A Rigidity Penalty Term for Nonrigid Registration"

Marius Staring, Stefan Klein and Josien P.W. Pluim


Medical images that are to be registered for clinical application often contain both structures that deform and ones that remain rigid. Nonrigid registration algorithms that do not model properties of different tissue types may result in deformations of rigid structures. In this article a local rigidity penalty term is proposed which is included in the registration function in order to penalize the deformation of rigid objects. This term can be used for any representation of the deformation field capable of modelling locally rigid transformations. By using a B-spline representation of the deformation field, a fast algorithm can be devised. The proposed method is compared with an unconstrained nonrigid registration algorithm. It is evaluated on clinical three-dimensional CT follow-up data of the thorax and on two-dimensional DSA image sequences. The results show that nonrigid registration using the proposed rigidity penalty term is capable of nonrigidly aligning images, while keeping user-defined structures locally rigid.



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Copyright © 2007 by the authors. Published version © 2007 by American Association of Physicists in Medicine (AAPM). Personal use of this material is permitted. However, permission to reprint or republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works, must be obtained from the copyright holder.


Source code

The source code of the methods described in this paper can be found in the image registration toolkit elastix, available at http://elastix.isi.uu.nl.

The penalty term can be selected through: (Metric <AnyMetric> "TransformRigidityPenalty").

The exact parameter settings used in this paper can be found at the parameter file database of elastix at entry Par0004.

BibTeX entry

author = "{Marius Staring and Stefan Klein and Josien P.W. Pluim}",
title = "{A Rigidity Penalty Term for Nonrigid Registration}",
journal = "{Medical Physics}",
volume = "{34}",
number = "{11}",
pages = "{4098 - 4108}",
month = "{November}",
year = "{2007}",

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