Constructing diffeomorphic representations for the groupwise analysis of nonrigid registrations of medical images

IEEE Transactions on Medical Imaging
Stephen Marsland, Carole J Twining

Abstract

Groupwise nonrigid registrations of medical images define dense correspondences across a set of images, defined by a continuous deformation field that relates each target image in the group to some reference image. These registrations can be automatic, or based on the interpolation of a set of user-defined landmarks, but in both cases, quantifying the normal and abnormal structural variation across the group of imaged structures implies analysis of the set of deformation fields. We contend that the choice of representation of the deformation fields is an integral part of this analysis. This paper presents methods for constructing a general class of multi-dimensional diffeomorphic representations of deformations. We demonstrate, for the particular case of the polyharmonic clamped-plate splines, that these representations are suitable for the description of deformations of medical images in both two and three dimensions, using a set of two-dimensional annotated MRI brain slices and a set of three-dimensional segmented hippocampi with optimized correspondences. The class of diffeomorphic representations also defines a non-Euclidean metric on the space of patterns, and, for the case of compactly supported deformations, on the corre...Continue Reading

References

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Oct 26, 1999·IEEE Transactions on Medical Imaging·D RueckertD J Hawkes
Jan 11, 2000·IEEE Transactions on Medical Imaging·S M PizerE L Chaney
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Jun 20, 2002·IEEE Transactions on Medical Imaging·Rhodri H DaviesChris J Taylor
Sep 2, 2004·IEEE Transactions on Medical Imaging·Stephen Marsland, Carole J Twining
Feb 12, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·S C Joshi, M I Miller

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Citations

Sep 10, 2008·Medical Physics·Derek MerckSarang Joshi
Dec 2, 2008·NeuroImage·Tom VercauterenNicholas Ayache
Jul 29, 2008·Medical Image Analysis·Stanley DurrlemanNicholas Ayache
Mar 31, 2016·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Mahsa ShakeriUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Jan 15, 2011·IEEE Transactions on Visualization and Computer Graphics·Taehyun RheeKrishna S Nayak
Mar 24, 2012·IEEE Transactions on Pattern Analysis and Machine Intelligence·Csaba DomokosZoltan Kato
Jun 7, 2013·IEEE Transactions on Medical Imaging·Aristeidis SotirasNikos Paragios
Dec 21, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Stefan KleinJosien P W Pluim
Feb 14, 2008·IEEE Transactions on Medical Imaging·M Holden
Apr 28, 2011·IEEE Transactions on Medical Imaging·Laurent RisserUNKNOWN Alzheimer’s Disease Neuroimaging Initiative
Sep 2, 2004·IEEE Transactions on Medical Imaging·Stephen Marsland, Carole J Twining
Mar 23, 2012·Computer Methods in Biomechanics and Biomedical Engineering·Francisco P M Oliveira, João Manuel R S Tavares

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