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A rigidity penalty term for nonrigid registration
Author(s) -
Staring Marius,
Klein Stefan,
Pluim Josien P. W.
Publication year - 2007
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.2776236
Subject(s) - image registration , rigidity (electromagnetism) , spline (mechanical) , computer vision , artificial intelligence , computer science , rigid transformation , penalty method , term (time) , medical imaging , atlas (anatomy) , algorithm , mathematics , image (mathematics) , mathematical optimization , physics , quantum mechanics , thermodynamics , paleontology , biology
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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