A Hough transform global probabilistic approach to multiple-subject diffusion MRI tractography

A global probabilistic fiber tracking approach based on the voting process provided by the Hough transform is introduced in this work. The proposed framework tests candidate 3D curves in the volume, assigning to each one a score computed from the diffusion images, and then selects the curves with the highest scores as the potential anatomical connections. The algorithm avoids local minima by performing an exhaustive search at the desired resolution. The technique is easily extended to multiple subjects, considering a single representative volume where the registered high-angular resolution diffusion images (HARDI) from all the subjects are non-linearly combined, thereby obtaining population-representative tracts. The tractography algorithm is run only once for the multiple subjects, and no tract alignment is necessary. We present experimental results on HARDI volumes, ranging from simulated and 1.5T physical phantoms to 7T and 4T human brain and 7T monkey brain datasets.

[1]  P. Basser,et al.  In vivo fiber tractography using DT‐MRI data , 2000, Magnetic resonance in medicine.

[2]  Derek K. Jones Tractography Gone Wild: Probabilistic Fibre Tracking Using the Wild Bootstrap With Diffusion Tensor MRI , 2008, IEEE Transactions on Medical Imaging.

[3]  Richard O. Duda,et al.  Use of the Hough transformation to detect lines and curves in pictures , 1972, CACM.

[4]  Rachid Deriche,et al.  Control Theory and Fast Marching Techniques for Brain Connectivity Mapping , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[5]  Paul M. Thompson,et al.  Brain Fiber Architecture, Genetics, and Intelligence: A High Angular Resolution Diffusion Imaging (HARDI) Study , 2008, MICCAI.

[6]  P. Funk Über eine geometrische Anwendung der Abelschen Integralgleichung , 1915 .

[7]  Andrew L. Alexander,et al.  Bootstrap white matter tractography (BOOT-TRAC) , 2005, NeuroImage.

[8]  Carl-Fredrik Westin,et al.  New Approaches to Estimation of White Matter Connectivity in Diffusion Tensor MRI: Elliptic PDEs and Geodesics in a Tensor-Warped Space , 2002, MICCAI.

[9]  Timothy Edward John Behrens,et al.  Diffusion MRI : from quantitative measurement to in vivo neuroanatomy , 2014 .

[10]  Abbas F. Sadikot,et al.  Flow-based fiber tracking with diffusion tensor and q-ball data: Validation and comparison to principal diffusion direction techniques , 2005, NeuroImage.

[11]  Carl-Fredrik Westin,et al.  QUANTITATIVE EXAMINATION OF A NOVEL CLUSTERING METHOD USING MAGNETIC RESONANCE DIFFUSION TENSOR TRACTOGRAPHY , 2008 .

[12]  R. Deriche,et al.  Regularized, fast, and robust analytical Q‐ball imaging , 2007, Magnetic resonance in medicine.

[13]  Carl-Fredrik Westin,et al.  A Hamilton-Jacobi-Bellman Approach to High Angular Resolution Diffusion Tractography , 2005, MICCAI.

[14]  Rachid Deriche,et al.  Brain Connectivity Mapping Using Riemannian Geometry, Control Theory, and PDEs , 2009, SIAM J. Imaging Sci..

[15]  Jean-Philippe Thiran,et al.  DTI mapping of human brain connectivity: statistical fibre tracking and virtual dissection , 2003, NeuroImage.

[16]  Carl-Fredrik Westin,et al.  A Bayesian approach for stochastic white matter tractography , 2006, IEEE Transactions on Medical Imaging.

[17]  Mark W. Woolrich,et al.  Probabilistic diffusion tractography with multiple fibre orientations: What can we gain? , 2007, NeuroImage.

[18]  Geoffrey J M Parker,et al.  A framework for a streamline‐based probabilistic index of connectivity (PICo) using a structural interpretation of MRI diffusion measurements , 2003, Journal of magnetic resonance imaging : JMRI.

[19]  Alan Connelly,et al.  Diffusion-weighted magnetic resonance imaging fibre tracking using a front evolution algorithm , 2003, NeuroImage.

[20]  Andrew Zalesky,et al.  DT-MRI Fiber Tracking: A Shortest Paths Approach , 2008, IEEE Transactions on Medical Imaging.

[21]  Jean-Francois Mangin,et al.  MR Diffusion-Based Inference of a Fiber Bundle Model from a Population of Subjects , 2005, MICCAI.

[22]  E. Yacoub,et al.  High Resolution Diffusion MRI on in-vivo Monkey Brains at 7T , 2009, NeuroImage.

[23]  Gareth J. Barker,et al.  Estimating distributed anatomical connectivity using fast marching methods and diffusion tensor imaging , 2002, IEEE Transactions on Medical Imaging.

[24]  W. Eric L. Grimson,et al.  Statistical modeling and EM clustering of white matter fiber tracts , 2006, 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2006..

[25]  G. Sapiro,et al.  Multi-subject Diffusion MRI Tractography via a Hough Transform Global Approach , 2009, NeuroImage.

[26]  Christophe Lenglet,et al.  On the non-uniform complexity of brain connectivity , 2008, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[27]  Rafael C. González,et al.  Digital image processing, 3rd Edition , 2008 .

[28]  M. Raichle,et al.  Tracking neuronal fiber pathways in the living human brain. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[29]  P. Basser,et al.  Estimation of the effective self-diffusion tensor from the NMR spin echo. , 1994, Journal of magnetic resonance. Series B.

[30]  Marc Niethammer,et al.  Finsler Tractography for White Matter Connectivity Analysis of the Cingulum Bundle , 2007, MICCAI.

[31]  S C Williams,et al.  Non‐invasive assessment of axonal fiber connectivity in the human brain via diffusion tensor MRI , 1999, Magnetic resonance in medicine.

[32]  Rachid Deriche,et al.  Deterministic and Probabilistic Tractography Based on Complex Fibre Orientation Distributions , 2009, IEEE Transactions on Medical Imaging.

[33]  P. Basser Diffusion MRI: From Quantitative Measurement to In vivo Neuroanatomy , 2009 .

[34]  V. Kiselev,et al.  Gibbs tracking: A novel approach for the reconstruction of neuronal pathways , 2008, Magnetic resonance in medicine.

[35]  D. Le Bihan,et al.  A framework based on spin glass models for the inference of anatomical connectivity from diffusion‐weighted MR data – a technical review , 2002, NMR in biomedicine.

[36]  Philip A. Cook,et al.  Exploiting peak anisotropy for tracking through complex structures , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[37]  Paul M. Thompson,et al.  Submitted to: , 2008 .

[38]  J Sijbers,et al.  Multiscale white matter fiber tract coregistration: A new feature‐based approach to align diffusion tensor data , 2006, Magnetic resonance in medicine.

[39]  Mark W. Woolrich,et al.  Multiple-subjects connectivity-based parcellation using hierarchical Dirichlet process mixture models , 2009, NeuroImage.

[40]  P. Hagmann,et al.  Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[41]  David Atkinson,et al.  Study of Connectivity in the Brain Using the Full Diffusion Tensor from MRI , 2001, IPMI.

[42]  Lester Melie-García,et al.  Characterizing brain anatomical connections using diffusion weighted MRI and graph theory , 2007, NeuroImage.

[43]  Li Bai,et al.  Brain tractography using Q-ball imaging and graph theory: Improved connectivities through fibre crossings via a model-based approach , 2010, NeuroImage.

[44]  G. Sapiro,et al.  Reconstruction of the orientation distribution function in single‐ and multiple‐shell q‐ball imaging within constant solid angle , 2010, Magnetic resonance in medicine.

[45]  Maxime Descoteaux,et al.  Brain Connectivity Using Geodesics in HARDI , 2009, MICCAI.

[46]  Christophe Lenglet,et al.  A Hough transform global approach to diffusion MRI tractography , 2009 .

[47]  Daniel Gembris,et al.  White matter fiber tractography via anisotropic diffusion simulation in the human brain , 2005, IEEE Transactions on Medical Imaging.

[48]  Carl-Fredrik Westin,et al.  Regularized Stochastic White Matter Tractography Using Diffusion Tensor MRI , 2002, MICCAI.

[49]  Jean Daunizeau,et al.  Accurate Anisotropic Fast Marching for Diffusion-Based Geodesic Tractography , 2007, Int. J. Biomed. Imaging.

[50]  A. Alexander,et al.  White matter tractography using diffusion tensor deflection , 2003, Human brain mapping.

[51]  Jean-Francois Mangin,et al.  A Novel Global Tractography Algorithm Based on an Adaptive Spin Glass Model , 2009, MICCAI.

[52]  P. V. van Zijl,et al.  Three‐dimensional tracking of axonal projections in the brain by magnetic resonance imaging , 1999, Annals of neurology.

[53]  Carl-Fredrik Westin,et al.  Automatic Tractography Segmentation Using a High-Dimensional White Matter Atlas , 2007, IEEE Transactions on Medical Imaging.

[54]  Arthur W. Toga,et al.  A Diffusion Tensor Imaging Tractography Algorithm Based on Navier–Stokes Fluid Mechanics , 2009, IEEE Transactions on Medical Imaging.

[55]  Daniel C. Alexander,et al.  Camino: Open-Source Diffusion-MRI Reconstruction and Processing , 2006 .

[56]  Hans-Peter Meinzer,et al.  Opportunities and pitfalls in the quantification of fiber integrity: What can we gain from Q-ball imaging? , 2010, NeuroImage.

[57]  S. Wakana,et al.  Fiber tract-based atlas of human white matter anatomy. , 2004, Radiology.

[58]  Roland Bammer,et al.  A Physical Model for DT-MRI Based Connectivity Map Computation , 2005, MICCAI.

[59]  Emmanuel Prados eprados,et al.  Control Theory and Fast Marching Methods for Brain Connectivity Mapping , 2022 .

[60]  Stamatios N. Sotiropoulos,et al.  MR Diffusion Tractography , 2009 .

[61]  Lawrence H. Staib,et al.  White matter tractography by anisotropic wavefront evolution and diffusion tensor imaging , 2005, Medical Image Anal..

[62]  D. Tuch Q‐ball imaging , 2004, Magnetic resonance in medicine.