Fibertract segmentation in position orientation space from high angular resolution diffusion MRI

In diffusion MRI, standard approaches for fibertract identification are based on algorithms that generate lines of coherent diffusion, currently known as tractography. A tract is then identified as a set of such lines selected on some criteria. In the present study, we investigate whether fibertract identification can be formulated as a segmentation task that recognizes a fibertract as a region where diffusion is intense and coherent. Indeed, we show that it is possible to segment efficiently well-known fibertracts with classical image processing methods provided that the problem is formulated in a five-dimensional space of position and orientation. As an example, we choose to adapt to this newly defined high-dimensional non-Euclidean space, called position orientation space, an algorithm based on the hidden Markov random field framework. Structures such as the cerebellar peduncles, corticospinal tract, association bundles can be identified and represented in three dimensions by a back projection technique similar to maximum intensity projection. Potential advantages and drawbacks as compared to classical tractography are discussed; for example, it appears that our formulation handles naturally crossing tracts and is not biased by human intervention.

[1]  D G Gadian,et al.  Limitations and requirements of diffusion tensor fiber tracking: An assessment using simulations , 2002, Magnetic resonance in medicine.

[2]  Alan Connelly,et al.  Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution , 2004, NeuroImage.

[3]  V. Wedeen,et al.  Mapping fiber orientation spectra in cerebral white matter with Fourier-transform diffusion MRI , 2000 .

[4]  David N. Kennedy,et al.  MRI-Based Topographic Parcellation of Human Cerebral White Matter I. Technical Foundations , 1999, NeuroImage.

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

[6]  David E. Breen,et al.  Level set modeling and segmentation of diffusion tensor magnetic resonance imaging brain data , 2003, J. Electronic Imaging.

[7]  Xavier Bresson,et al.  Representing Diffusion MRI in 5D for Segmentation of White Matter Tracts with a Level Set Method , 2005, IPMI.

[8]  S. Maier,et al.  Microstructural Development of Human Newborn Cerebral White Matter Assessed in Vivo by Diffusion Tensor Magnetic Resonance Imaging , 1998, Pediatric Research.

[9]  V. Wedeen,et al.  Fiber crossing in human brain depicted with diffusion tensor MR imaging. , 2000, Radiology.

[10]  William M. Wells,et al.  Medical Image Computing and Computer-Assisted Intervention — MICCAI’98 , 1998, Lecture Notes in Computer Science.

[11]  Donald Geman,et al.  Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images , 1984 .

[12]  J. Thiran,et al.  Diffusion Spectrum Imaging tractography in complex cerebral white matter: an investigation of the centrum semiovale , 2004 .

[13]  P. Basser,et al.  Water Diffusion Changes in Wallerian Degeneration and Their Dependence on White Matter Architecture , 2000 .

[14]  Susumu Mori,et al.  Fiber tracking: principles and strategies – a technical review , 2002, NMR in biomedicine.

[15]  Carl-Fredrik Westin,et al.  Clustering Fiber Traces Using Normalized Cuts , 2004, MICCAI.

[16]  Kalvis M. Jansons,et al.  Persistent angular structure: new insights from diffusion magnetic resonance imaging data , 2003 .

[17]  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.

[18]  John Odentrantz,et al.  Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues , 2000, Technometrics.

[19]  Ching Yao,et al.  Validation of diffusion spectrum magnetic resonance imaging with manganese-enhanced rat optic tracts and ex vivo phantoms , 2003, NeuroImage.

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

[21]  V. Wedeen,et al.  Reduction of eddy‐current‐induced distortion in diffusion MRI using a twice‐refocused spin echo , 2003, Magnetic resonance in medicine.

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

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

[24]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[25]  M Cercignani,et al.  Diffusion tensor magnetic resonance imaging in multiple sclerosis , 2001, Neurology.

[26]  Carl-Fredrik Westin,et al.  DTI and MTR abnormalities in schizophrenia: Analysis of white matter integrity , 2005, NeuroImage.

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

[28]  Yihong Yang,et al.  Mapping the orientation of intravoxel crossing fibers based on the phase information of diffusion circular spectrum , 2004, NeuroImage.

[29]  Bruce R. Rosen,et al.  Diffusion anisotropy and white matter tracts , 1996, NeuroImage.

[30]  Timothy Edward John Behrens,et al.  Characterization and propagation of uncertainty in diffusion‐weighted MR imaging , 2003, Magnetic resonance in medicine.

[31]  Hao Huang,et al.  DTI tractography based parcellation of white matter: Application to the mid-sagittal morphology of corpus callosum , 2005, NeuroImage.

[32]  J. Thiran,et al.  Fiber tracts of high angular resolution diffusion MRI are easily segmented with spectral clustering. , 2005 .

[33]  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.

[34]  C. Beaulieu,et al.  The basis of anisotropic water diffusion in the nervous system – a technical review , 2002, NMR in biomedicine.

[35]  Xavier Bresson,et al.  White matter fiber tract segmentation in DT-MRI using geometric flows , 2005, Medical Image Anal..

[36]  Daniel C. Alexander,et al.  Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version , 2003, IPMI.

[37]  Stephen M. Smith,et al.  Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm , 2001, IEEE Transactions on Medical Imaging.

[38]  N. Makris,et al.  High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity , 2002, Magnetic resonance in medicine.

[39]  Ron Kimmel,et al.  A general framework for low level vision , 1998, IEEE Trans. Image Process..

[40]  V. Wedeen,et al.  Diffusion MRI of Complex Neural Architecture , 2003, Neuron.

[41]  D. Geman Random fields and inverse problems in imaging , 1990 .

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

[43]  Jean-Philippe Thiran,et al.  Hand preference and sex shape the architecture of language networks , 2006, Human brain mapping.

[44]  Isabelle Bloch,et al.  Towards inference of human brain connectivity from MR diffusion tensor data , 2001, Medical Image Anal..

[45]  J. M. Hammersley,et al.  Markov fields on finite graphs and lattices , 1971 .

[46]  Andrew L. Alexander,et al.  An error analysis of white matter tractography methods: synthetic diffusion tensor field simulations , 2003, NeuroImage.