Regularization of bending and crossing white matter fibers in MRI Q-ball fields

Behrens, 2007, Probabilistic diffusion tractography with multiple fibre orientations: what can we gain?, Neuroimage, 34, 144, 10.1016/j.neuroimage.2006.09.018 Wedeen, 2005, Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging, Magn Reson Med, 54, 1377, 10.1002/mrm.20642 Tuch, 2004, Q-ball imaging. Magn Reson Med, 52, 1358, 10.1002/mrm.20279 Tournier, 2004, Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution, Neuroimage, 23, 1176, 10.1016/j.neuroimage.2004.07.037 Descoteaux, 2009, Deterministic and probabilistic tractography based on complex fibre orientation distributions, IEEE Trans Med Imaging, 28, 269, 10.1109/TMI.2008.2004424 Ozarslan, 2003, Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging, Magn Reson Med, 50, 955, 10.1002/mrm.10596 Tournier, 2007, Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution, Neuroimage, 35, 1459, 10.1016/j.neuroimage.2007.02.016 Jansons, 2003, Persistent angular structure: new insights from diffusion MRI data, Inf Process Med Imaging, 18, 672, 10.1007/978-3-540-45087-0_56 Tuch, 2002, High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity, Magn Reson Med, 48, 577, 10.1002/mrm.10268 Kreher, 2005, Multitensor approach for analysis and tracking of complex fiber configurations, Magn Reson Med, 54, 1216, 10.1002/mrm.20670 Hosey, 2005, Inference of multiple fiber orientations in high angular resolution diffusion imaging, Magn Reson Med, 54, 1480, 10.1002/mrm.20723 Anderson, 2005, Measurement of fiber orientation distributions using high angular resolution diffusion imaging, Magn Reson Med, 54, 1194, 10.1002/mrm.20667 Peled, 2006, Geometrically constrained two-tensor model for crossing tracts in DWI, Magn Reson Imaging, 24, 1263, 10.1016/j.mri.2006.07.009 Savadjiev, 2005, 3D curve inference for diffusion MRI regularization, Int Conf Med Image Comput Comput Assist Interv, 8, 123 Jonasson, 2007, Representing diffusion MRI in 5-D simplifies regularization and segmentation of white matter tracts, IEEE Trans Med Imaging, 26, 1547, 10.1109/TMI.2007.899168 Ehricke, 2009, Diffusion MRI tractography of crossing fibers by cone-beam ODF regularization, 412 Hess, 2006, Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis, Magn Reson Med, 56, 104, 10.1002/mrm.20931 Descoteaux, 2007, Regularized, fast and robust analytical q-ball imaging, Magn Reson Med, 58, 497, 10.1002/mrm.21277 Parker, 2003, A framework for a streamline-based probabilistic index of connectivity (PICo) using a structural interpretation of MRI diffusion measurements, J Magn Reson Imaging, 18, 242, 10.1002/jmri.10350 Behrens, 2003, Characterization and propagation of uncertainty in diffusion-weighted MR imaging, Magn Reson Med, 50, 1077, 10.1002/mrm.10609 Lazar, 2005, Bootstrap white matter tractography (BOOT- TRAC), Neuroimage, 24, 524, 10.1016/j.neuroimage.2004.08.050 Zalesky, 2008, DT-MRI fiber tracking: a shortest paths approach, IEEE Trans Med Imaging, 27, 1458, 10.1109/TMI.2008.923644 Parker, 2000, Nonlinear smoothing for reduction of systematic and random errors in diffusion tensor imaging, J Magn Reson Imaging, 11, 702, 10.1002/1522-2586(200006)11:6<702::AID-JMRI18>3.0.CO;2-A Martin-Fernandez, 2009, Sequential anisotropic multichannel Wiener filtering with Rician bias correction applied to 3D regularization of DWI data, Med Image Anal, 13, 19, 10.1016/j.media.2008.05.004 Wang, 2004, A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI, IEEE Trans Med Imaging, 23, 930, 10.1109/TMI.2004.831218 Sotiropoulos, 2008, A regularized two-tensor model fit to low angular resolution diffusion images using basis directions, J Magn Reson Imaging, 28, 199, 10.1002/jmri.21380 Poupon, 2000, Regularization of diffusion-based direction maps for the tracking of brain white matter fascicles, Neuroimage, 12, 184, 10.1006/nimg.2000.0607 Coulon, 2004, Diffusion tensor magnetic resonance image regularization, Med Image Anal, 8, 47, 10.1016/j.media.2003.06.002 Pasternak, 2004, Separation of white matter fascicles from diffusion MRI using φ-functional regularization, Proc Int Soc Magn Reson Med, 11, 1227 Perona, 1990, Scale-space and edge detection using anisotropic diffusion, IEEE Trans Pattern Anal Mach Intell, 12, 629, 10.1109/34.56205 Perrin, 2005, Fiber tracking in q-ball fields using regularized particle trajectories, Inf Process Med Imaging, 19, 52, 10.1007/11505730_5 Chao, 2008, A multiple streamline approach to high angular resolution diffusion tractography, Med Eng Phys, 30, 989, 10.1016/j.medengphy.2008.01.010 Campbell, 2005, Flow-based fiber tracking with diffusion tensor and q-ball data: validation and comparison to principal diffusion direction techniques, Neuroimage, 27, 725, 10.1016/j.neuroimage.2005.05.014 Poupon, 2008, New diffusion phantoms dedicated to the study and validation of high-angular-resolution diffusion imaging (HARDI) models, Magn Reson Med, 60, 1276, 10.1002/mrm.21789 Sherbondy, 2008, Identifying the human optic radiation using diffusion imaging and fiber tractography, J Vis, 8, 12.1, 10.1167/8.10.12 Hofer, 2010, Reconstruction and dissection of the entire human visual pathway using diffusion tensor MRI, Front Neuroanat, 4, 15 Savadjiev, 2008, Labeling of ambiguous subvoxel fibre bundle configurations in high angular resolution diffusion MRI, Neuroimage, 41, 58, 10.1016/j.neuroimage.2008.01.028 Tournier, 2010, Improved probabilistic stream-lines tractography by second order integration over fibre orientation distributions, Vol. 18, 1670