Abstract
Before starting a diffusion-weighted MRI analysis, it is important to correct any misalignment between the diffusion-weighted images (DWIs) that was caused by subject motion and eddy current induced geometric distortions. Conventional methods adopt a pairwise registration approach, in which the non-DWI, a.k.a. the b = 0 image, is used as a reference. In this work, a groupwise affine registration framework, using a global dissimilarity metric, is proposed, which eliminates the need for selecting a reference image and which does not rely on a specific method that models the diffusion characteristics. The dissimilarity metric is based on principal component analysis (PCA) and is ideally suited for DWIs, in which the signal contrast varies drastically as a function of the applied gradient orientation. The proposed method is tested on synthetic data, with known ground-truth transformation parameters, and real diffusion MRI data, resulting in successful alignment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
Although noise in MR images is Rician distributed, for SNR > 5 it can be approximated with a Gaussian distribution [19].
References
Balci, S. et al.: Free-form B-Spline deformation model for groupwise registration. Proc. Stat. Regis. Workshop (MICCAI). 23–30 (2007)
Behrens, T.E.J., et al.: Probabilistic diffusion tractography with multiple fibre orientations: what can we gain? NeuroImage 34, 144–155 (2007)
de Geeter, N., et al.: A DTI-based model for TMS using the independent impedance method with frequency-dependent tissue parameters. Phys. Med. Biol. 57, 2169–2188 (2012)
Fung, T.C.: Computation of the matrix exponential and its derivatives by scaling and squaring. Int. J. Numer. Methods Eng. 59, 1273–1286 (2004)
Jensen, H.J., et al.: Diffusional kurtosis imaging: the quantification of non-gaussian water diffusion by means of magnetic resonance imaging. Magn. Reson. Med. 53, 1432–1340 (2005)
Jones, D.K., Leemans, A.: Diffusion tensor imaging. Methods Mol. Biol. 711, 127–144 (2011)
Klein, S., et al.: Adaptive stochastic gradient descent optimization for image registration. Int. J. Comput. Vis. 81, 227–239 (2009)
Klein, S., et al.: elastix: a toolbox for intensity based medical image registration. IEEE Trans. Med. imaging 29, 196–205 (2010)
Leemans, A., et al.: Mathematical framework for simulating diffusion tensor MR neural fiber bundles. Magn. Reson. Med. 53, 944–953 (2005)
Leemans, A., et al.: Multiscale white matter fiber tract coregistration: a new feature-based approach to align diffusion tensor data. Magn. Reson. Med. 55, 1414–1423 (2006)
Leemans, A., et al.: The B-matrix must be rotated when correcting for subject motion in DTI data. Magn. Reson. Med. 61, 1336–1349 (2009)
Leemans, A., et al.: ExploreDTI: a graphical toolbox for processing, analyzing, and visualizing diffusion MR data. In: 17th Annual Meeting of International Society for Magnetic Resonance in Medicine, Hawaii, 2009, p. 3537
Marsland, S., et al.: A minimum description length objective function for groupwise non-rigid image registration. Image Vis. Comput. 26, 333–346 (2008)
Melbourne, A., et al.: Registration of dynamic contrast-enhanced MRI using a progressive principal component registration (PPCR). Phys. Med. Biol. 52, 5147–5156 (2007)
Metz, C.T., et al.: Nonrigid registration of dynamic medical imaging data using nD+t B-splines and a groupwise optimization approach. Med. Image Anal. 15, 238–249 (2010)
Reijmer, Y.D., et al.: Improved sensitivity to cerebral white matter abnormalities in Alzheimer’s disease with spherical deconvolution based tractography. PLoS one. 7, 1371 (2012)
Rohde, G.K., et al.: Comprehensive approach for correction of motion and distortion in diffusion-weighted MRI. Magn. Reson. Med. 51, 103–114 (2004)
Schultz, T., Seidel, H.: Using eigenvalue derivatives for edge detection in DT-MRI data. In: Rigoll, G. (ed.) Pattern Recognition, vol. 5096, pp. 193–202. Springer, Berlin (2008)
Sijbers, J., et al.: Parameter estimation from magnitude MR images. Int. J. Imaging Syst. Technol. 10, 109–114 (1999)
Tournier, J.D., et al.: Diffusion tensor imaging and beyond. Magn. Reson. Med. 65, 1532–1556 (2011)
van der Aa, N.P., et al..: Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem. Electron. J. Linear Algebra 16, 300–314 (2007)
van der Aa, N.E., et al.: Does diffusion tensor imaging-based tractography at 3 months of age contribute to the prediction of motor outcome after perinatal arterial ischemic stroke? Stroke 42, 3410–3414 (2011)
Wachinger, C., et al.: Simultaneous registration of multiple images: similarity metrics and efficient optimization. IEEE Trans. Pattern Anal. Mach. Intell. 7, 667–674 (2012)
Wang, H.C., et al.: Diffusion tensor imaging of vascular parkonsonism: structural changes in cerebral white matter and the association with clinical severity. Arch. Neurol. 69, 1340–1348 (2012)
Wedeen, V.J., et al.: Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magn. Reson. Med. 54, 1377–1386 (2005)
Woods, P.: Characterizing volume and surface deformations in an atlas framework: theory, applications, and implementation. NeuroImage. 18, 769–788 (2003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Huizinga, W. et al. (2014). Groupwise Registration for Correcting Subject Motion and Eddy Current Distortions in Diffusion MRI Using a PCA Based Dissimilarity Metric. In: Schultz, T., Nedjati-Gilani, G., Venkataraman, A., O'Donnell, L., Panagiotaki, E. (eds) Computational Diffusion MRI and Brain Connectivity. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-02475-2_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-02475-2_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02474-5
Online ISBN: 978-3-319-02475-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)