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Tractography Processing with the Sparse Closest Point Transform

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Abstract

We propose a novel approach for processing diffusion MRI tractography datasets using the sparse closest point transform (SCPT). Tractography enables the 3D geometry of white matter pathways to be reconstructed; however, algorithms for processing them are often highly customized, and thus, do not leverage the existing wealth of machine learning (ML) algorithms. We investigated a vector-space tractography representation that aims to bridge this gap by using the SCPT, which consists of two steps: first, extracting sparse and representative landmarks from a tractography dataset, and second transforming curves relative to these landmarks with a closest point transform. We explore its use in three typical tasks: fiber bundle clustering, simplification, and selection across a population. The clustering algorithm groups fibers from single whole-brain datasets using a non-parametric k-means clustering algorithm, with performance compared with three alternative methods and across four datasets. The simplification algorithm removes redundant curves to improve interactive visualization, with performance gauged relative to random subsampling. The selection algorithm extracts bundles across a population using a one-class Gaussian classifier derived from an atlas prototype, with performance gauged by scan-rescan reliability and sensitivity to normal aging, as compared to manual mask-based selection. Our results demonstrate how the SCPT enables the novel application of existing vector-space ML algorithms to create effective and efficient tools for tractography processing. Our experimental data is available online, and our software implementation is available in the Quantitative Imaging Toolkit.

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Notes

  1. DOI:https://doi.org/10.35092/yhjc.12441953

  2. http://cs.brown.edu/research/mri/mri_repository.html

  3. https://resource.loni.usc.edu/resources/downloads

  4. https://cabeen.io/qitwiki

References

  • Barnett, V., & Lewis, T. (1994). Outliers in statistical data Vol. 3. New York: Wiley New York.

    Google Scholar 

  • Basser, P.J., & Pierpaoli, C. (1996). Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. Journal of magnetic resonance. Series B, 111(3), 209–219.

    Article  CAS  Google Scholar 

  • Bishop, C.M. (1994). Novelty detection and neural network validation. In Vision, Image and Signal Processing, IEEE Proceedings, (Vol. 141, IET pp. 217–222).

  • Bland, J.M., & Altman, D.G. (1990). A note on the use of the intraclass correlation coefficient in the evaluation of agreement between two methods of measurement. Computers in biology and medicine, 20 (5), 337–40.

    Article  CAS  Google Scholar 

  • Brun, A., Knutsson, H., Park, H.J., Shenton, M.E., & Westin, C-F. (2004). Clustering fiber traces using normalized cuts. MICCAI, 2004(3216), 368–375. https://doi.org/10.1007/b100265.Clustering.

    Article  Google Scholar 

  • Cabeen, R.P., Bastin, M.E., & Laidlaw, D.H. (2013). A Diffusion MRI Resource of 80 Age-varied Subjects with Neuropsychological and Demographic Measures. In Proceedings of the International Society of Magnetic Resonance in Medicine (ISMRM).

  • Cabeen, R.P., Bastin, M.E., & Laidlaw, D.H. (2016). Kernel regression estimation of fiber orientation mixtures in diffusion MRI. NeuroImage, 127, 158–172.

    Article  Google Scholar 

  • Cabeen, R.P., Bastin, M.E., & Laidlaw, D.H. (2017). A Comparative evaluation of voxel-based spatial mapping in diffusion tensor imaging. NeuroImage, 146, 100–112.

    Article  Google Scholar 

  • Cabeen, R.P., Laidlaw, D.H., & Toga, A.W. (2018). Quantitative Imaging Toolkit: Software for Interactive 3D Visualization, Processing, and Analysis of Neuroimaging Datasets. In Proceedings of the International Society of Magnetic Resonance in Medicine (ISMRM).

  • Clayden, J.D., Storkey, A.J., & Bastin, M.E. (2007). A Probabilistic Model-Based Approach to Consistent White Matter Tract Segmentation. IEEE Transaction on Medical Imaging, 26(11), 1555–1561. https://doi.org/10.1109/TMI.2007.905826.

    Article  Google Scholar 

  • Corouge, I., Fletcher, P.T., Joshi, S.C., Gouttard, S., & Gerig, G. (2006). Fiber tract-oriented statistics for quantitative diffusion tensor MRI analysis. Medical Image Analysis, 10(5), 786–798. https://doi.org/10.1016/j.media.2006.07.003.

    Article  PubMed  Google Scholar 

  • Correia, S., Lee, S.Y., Voorn, T., Tate, D.F., Paul, R.H., Zhang, S., Salloway, S.P., Malloy, P.F., & Laidlaw, D.H. (2008). Quantitative tractography metrics of white matter integrity in diffusion-tensor MRI. NeuroImage, 42(2), 568–581.

    Article  Google Scholar 

  • Dice, L.R. (1945). Measures of the amount of ecologic association between species. Ecology, 26 (3), 297–302.

    Article  Google Scholar 

  • Dodero, L., Vascon, S., Murino, V., Bifone, A., Gozzi, A., & Sona, D. (2015). Automated multi-subject fiber clustering of mouse brain using dominant sets. Frontiers in Neuroinformatics, 8, 1–12. https://doi.org/10.3389/fninf.2014.00087.

    Article  Google Scholar 

  • Garyfallidis, E., Brett, M., Correia, M.M., Williams, G.B., & Nimmo-Smith, I. (2012). Quickbundles, a method for tractography simplification. Frontiers in neuroscience, 6, 175.

    Article  Google Scholar 

  • Gerig, G., Gouttard, S., & Corouge, I. (2004). Analysis of brain white matter via fiber tract modeling. In Engineering in Medicine and Biology Society, 2004. IEMBS ’04. 26th Annual International Conference of the IEEE, (Vol. 2 pp. 4421–4424).

  • Hendricks, W.A., & Robey, K.W. (2008). The Sampling Distribution of the Coefficient of Variation. Annals of Mathematical Statistics, 7(3), 129–132. https://doi.org/10.1214/193940307000000455.

    Article  Google Scholar 

  • Hubert, L., & Arabie, P. (1985). Comparing partitions. Journal of classification, 2(1), 193–218.

    Article  Google Scholar 

  • Jenkinson, M., Beckmann, C.F., Behrens, T.E.J., Woolrich, M.W., & Smith, S.M. (2012). FSL. NeuroImage, 62, 782–790. https://doi.org/10.1016/j.neuroimage.2011.09.015.

    Article  PubMed  Google Scholar 

  • Kulis, B., & Jordan, M.I. (2012). Revisiting k-means: New algorithms via bayesian nonparametrics. In Proceedings of the 29th International Conference on Machine Learning (ICML-12) (pp. 513–520).

  • Leemans, A., & Jones, D.K. (2009). The B-matrix must be rotated when correcting for subject motion in DTI data. Magnetic resonance in medicine, 61(6), 1336–49. https://doi.org/10.1002/mrm.21890.

    Article  PubMed  Google Scholar 

  • Lenglet, C., Campbell, J.S.W., Descoteaux, M., Haro, G., Savadjiev, P., Wassermann, D., Anwander, Deriche, R., Pike, G.B., Sapiro, G., Siddiqi, K., & Thompson, P.M. (2009). Mathematical methods for diffusion MRI processing. NeuroImage, 45(1 Suppl), S111–22. https://doi.org/10.1016/j.neuroimage.2008.10.054.

    Article  CAS  PubMed  Google Scholar 

  • Maddah, M., Grimson, W.E.L., Warfield, S.K., & Wells, W.M. (2008). A unified framework for clustering and quantitative analysis of white matter fiber tracts. Medical Image Analysis, 12(2), 191–202.

    Article  Google Scholar 

  • Mauch, S. (2000). A fast algorithm for computing the closest point and distance transform. Go online to http://www.acm.caltech.edu/seanm/software/cpt/cpt.pdf.

  • Moberts, B., Vilanova, A., & van Wijk, J.J. (2005). Evaluation of fiber clustering methods for diffusion tensor imaging. In VIS 05. IEEE Visualization, 2005., IEEE (pp. 65–72).

  • Moya, M.M., & Hush, D.R. (1996). Network constraints and multi-objective optimization for one-class classification. Neural Networks, 9(3), 463–474.

    Article  Google Scholar 

  • O’Donnell, L.J., & Westin, C.F. (2007). Automatic Tractography Segmentation Using a High-Dimensional White Matter Atlas. IEEE Transactions on Medical Imaging, 26(11), 1562–1575.

    Article  Google Scholar 

  • O’Donnell, L.J., Golby, A.J., & Westin, C.-F. (2013). Fiber clustering versus the parcellation-based connectome. NeuroImage, 80, 283–9. https://doi.org/10.1016/j.neuroimage.2013.04.066.

    Article  PubMed  PubMed Central  Google Scholar 

  • O’Donnell, L.J., & Schultz, T. (2015). Statistical and machine learning methods for neuroimaging: examples, challenges, and extensions to diffusion imaging data. In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data (pp. 299–319): Springer.

  • Pierpaoli, C., & Basser, P.J. (1996). Toward a Quantitative Assessment of Diffusion Anisotropy. Magnetic resonance in Medicine, 36(6), 893–906.

    Article  CAS  Google Scholar 

  • R Core Team. (2015). R: A language and environment for statistical computing, R Foundation for Statistical Computing. Vienna, Austria.

  • Saalfeld, A. (1999). Topologically consistent line simplification with the Douglas-Peucker algorithm. Cartography and Geographic Information Science, 26(1), 7–18.

    Article  Google Scholar 

  • Sima, C., & Dougherty, E.R. (2008). The peaking phenomenon in the presence of feature-selection. Pattern Recognition Letters, 29(11), 1667–1674.

    Article  Google Scholar 

  • Tarassenko, L., Hayton, P., Cerneaz, N., & Brady, M. (1995). Novelty detection for the identification of masses in mammograms. In Artificial Neural Networks, 1995., Fourth International Conference on, IET (pp. 442–447).

  • Tax, DM. (2001). One-class classification. TU Delft, Delft University of Technology.

  • Wang, Q., Yap, P.-T., Wu, G., & Shen, D. (2011). Fiber modeling and clustering based on neuroanatomical features. MICCAI, 14(Pt 2), 17–24.

    PubMed  Google Scholar 

  • Wang, X., Grimson, W.E.L., & Westin, C.F. (2011). Tractography segmentation using a hierarchical Dirichlet processes mixture model. NeuroImage, 54(1), 290–302.

    Article  Google Scholar 

  • Wassermann, D., Bloy, L., Kanterakis, E., Verma, R., & Deriche, R. (2010). Unsupervised white matter fiber clustering and tract probability map generation: Applications of a gaussian process framework for white matter fibers. NeuroImage, 51(1), 228–241.

    Article  CAS  Google Scholar 

  • Wickham, H. (2009). ggplot2: elegant graphics for data analysis. New York: Springer.

    Book  Google Scholar 

  • Wolak, M.E., Fairbairn, D.J., & Paulsen, Y.R. (2012). Guidelines for estimating repeatability. Methods in Ecology and Evolution, 3(Boake 1989), 129–137. https://doi.org/10.1111/j.2041-210X.2011.00125.x.

    Article  Google Scholar 

  • Yendiki, A., Panneck, P., Srinivasan, P., Stevens, A., Zöllei, L, Augustinack, J., Wang, R., Salat, D., Ehrlich, S., Behrens, T., Jbabdi, S., Gollub, R., & Fischl, B. (2011). Automated probabilistic reconstruction of white-matter pathways in health and disease using an atlas of the underlying anatomy. Frontiers in neuroinformatics, 5(October), 23. https://doi.org/10.3389/fninf.2011.00023.

    Article  PubMed  PubMed Central  Google Scholar 

  • Zhang, H., Yushkevich, P., Rueckert, D., & Gee, J.C. (2007). Unbiased white matter atlas construction using diffusion tensor images. MICCAI, 10(Pt 2), 211–8.

    PubMed  Google Scholar 

  • Zhang, S., Correia, S., & Laidlaw, D.H. (2008). Identifying White-Matter Fiber Bundles in DTI Data Using an Automated Proximity-Based Fiber-Clustering Method. IEEE Transactions on Visualization and Computer Graphics, 14(5), 1044–1053. https://doi.org/10.1109/TVCG.2008.52.

    Article  PubMed  PubMed Central  Google Scholar 

  • Zhang, S., Demiralp, C., & Laidlaw, D.H. (2003). Visualizing diffusion tensor mr images using streamtubes and streamsurfaces. Visualization and Computer Graphics, IEEE Transactions on, 9(4), 454–462.

    Article  Google Scholar 

  • Zhang, Y., Zhang, J., Oishi, K., Faria, A.V., & Jiang, H. (2010). Atlas-guided tract reconstruction for automated and comprehensive examination of the white matter anatomy. NeuroImage, 52(4), 1289–1301. https://doi.org/10.1016/j.neuroimage.2010.05.049.Atlas-Guided.

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Brown Institute for Brain Science Graduate Research Award and NIH National Institute of Biomedical Imaging and Bioengineering grant P41 EB015922-23. The authors have no conflict of interest to report.

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Correspondence to Ryan P. Cabeen.

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Cabeen, R.P., Toga, A.W. & Laidlaw, D.H. Tractography Processing with the Sparse Closest Point Transform. Neuroinform 19, 367–378 (2021). https://doi.org/10.1007/s12021-020-09488-2

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  • DOI: https://doi.org/10.1007/s12021-020-09488-2

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