Abstract
This article covers the young history of high angular resolution diffusion imaging (HARDI), from basic diffusion principles and diffusion tensor imaging (DTI) to q-space imaging, advanced modeling, and high-order reconstruction techniques. HARDI has opened up new perspectives to noninvasively measure microstructural features and study white matter connectivity using HARDI-based fiber tractography. HARDI is thus at the heart of modern neuroscience research and several clinical applications.
Bibliography
- 1 R. Brown. A Brief Account of Microscopical Observations Made in the Months of {J}une, {J}uly and {A}ugust, 1827, on the Particles Contained in the Pollen of Plants; and on the General Existence of Active Molecules in Organic and Inorganic Bodies. Philos. Mag. 1828, 4, pp 161–173.
- 2 A. Einstein. Investigations on the Theory of the Brownian Movement. Dover Publications, 1956.
- 3 D. LeBihan, R. Turner, and P. Douek. Is Water Diffusion Restricted in Human Brain White Matter? An Echo-Planar NMR Imaging Study. Neuroreport 1993, 4(7), pp 887–890.
- 4 H. Johansen-Berg and T. E. J. Behrens, Eds. Diffusion MRI. Elsevier, 2009.
- 5 D. K. Jones. Diffusion MRI: Theory, Methods, and Applications. Oxford University Press, 2011.
- 6 E. O. Stejskal and J. E. Tanner. Spin Diffusion Measurements: Spin Echoes in the Presence of a Time-Dependent Field Gradient. J. Chem. Phys. 1965, 42, pp 288–292.
- 7 M. E. Moseley, Y. Cohen, J. Mintorovitch, J. Kucharczyk, J. Tsuruda, P. Weinstein, and D. Norman. Evidence of Anisotropic Self-Diffusion. Radiology 1990, 176, pp 439–445.
- 8 P. Douek, R. Turner, J. Pekar, N. J. Patronas, and D. LeBihan. MR Color Mapping of Myelin Fiber Orientation. J. Comput. Assist. Tomogr. 1991, 15, pp 923–929.
- 9 P. J. Basser and D. LeBihan. Fiber Orientation Mapping in an Anisotropic Medium with NMR Diffusion Spectroscopy, in 11th Society of Magnetic Resonance in Medicine Meeting; 1992, p 1221.
- 10 P. J. Basser, J. Mattiello, and D. LeBihan. Diagonal and Off-Diagonal Components of the Self-Diffusion Tensor: Their Relation to and Estimation from the NMR Spin-Echo Signal, in 11th Society of Magnetic Resonance in Medicine Meeting; 1992, p 1222.
- 11 P. J. Basser, J. Mattiello, R. Turner, and D. Le Bihan. Diffusion Tensor Echo-Planar Imaging of Human Brain, in Proc. of the SMRM; 1993, p 584.
- 12 P. J. Basser, J. Mattiello, and D. LeBihan. Estimation of the Effective Self-Diffusion Tensor from the NMR Spin Echo. J. Magn. Reson. B 1994, 103(3), pp 247–254.
- 13 P. J. Basser, J. Mattiello, and D. LeBihan. {MR} Diffusion Tensor Spectroscopy and Imaging. Biophys. J. 1994, 66(1), pp 259–267.
- 14 C.-F. Westin, S. E. Maier, H. Mamata, A Nabavi, F. A. Jolesz, and R. Kikinis. Processing and Visualization for Diffusion Tensor MRI. Med. Image Anal. 2002, 6(2), pp 93–108.
- 15 C. Pierpaoli, P. Jezzard, P. Basser, A. Barnett, and G. D. Chiro. {D}iffusion {T}ensor {MR} Imaging of Human Brain. Radiology 1996, 201, pp 637–648.
- 16 G. Kindlmann, D. B. Ennis, R. T. Whitaker, and C.-F. Westin. Diffusion Tensor Analysis with Invariant Gradients and Rotation Tangents. IEEE Trans. Med. Imaging 2007, 26, pp 1483–1499.
- 17 S. Mori and P. C. M. van Zijl. Fiber Tracking: Principles and Strategies – A Technical Review. NMR Biomed. 2002, 15, pp 468–480.
- 18 J. Neil, J. Miller, P. Mukherjee, and P. S. Huppi. Diffusion Tensor Imaging of Normal and Injured Developing Human Brain: A Technical Review. NMR Biomed. 2002, 15, pp 543–552.
- 19 M. A. Horsfield and D. K. Jones. Applications of Diffusion-Weighted and Diffusion Tensor MRI to White Matter Diseases: A Review. NMR Biomed. 2002, 15, pp 570–577.
- 20 C. Sotak. The Role of Diffusion Tensor Imaging (DTI) in the Evaluation of Ischemic Brain Injury. NMR Biomed. 2002, 15, pp 561–569.
- 21 K. O. Lim and J. A. Helpern. Neuropsychiatric Applications of DTI: A Review. NMR Biomed. 2002, 15, pp 587–593.
- 22 J. Sijbers, A. J. den Dekker, M. Verhoye, A. van der Linden, and D. van Dyck. Adaptive Anisotropic Noise Filtering for Magnitude MR Data. Magn. Reson. Imaging 1999, 17(10), pp 1533–1539.
- 23 S. Aja-Fernàndez, C. Alberola-Lòpez, and C.-F. Westin. Noise and Signal Estimation in Magniture MRI and Rician Distributed Images: A LMMSE Approach. IEEE Trans. Image Process. 2008, 17(8), pp 1383–1398.
- 24 C. G. Koay, E. Özarslan, and P. J. Basser. A Signal Transformational Framework for Breaking the Noise Floor and Its Applications in MRI. J. Magn. Reson. 2009, 197(2), pp 108–119.
- 25 P. Coupé, J. V. Manjòon, E. Gedamu, D. Arnold, M. Robles, and D. L. Collins. Robust Rician Noise Estimation for MR Images. Med. Image Anal. 2010, 14(4), pp 483–493.
- 26 M. Descoteaux, N. Wiest-Daesslé, S. Prima, C. Barillot, and R. Deriche. Impact of Rician Adapted Non-Local Means Filtering on HARDI. Med. Image Comput. Comput. Assist. Interv. 2008, 11(Part 2), pp 122–130.
- 27 C. G. Koay, E. Ozarslan, and P. J. Basser. A Signal Transformational Framework for Breaking the Noise Floor and Its Applications in MRI. J. Magn. Reson. 2009, 197(2), pp 108–119.
- 28 P. J. Basser, S. Pajevic, C. Pierpaoli, J. Duda, and A. Aldroubi. In Vivo Fiber Tractography Using {DT}-{MRI} Data. Magn. Reson. Med. 2000, 44, pp 625–632.
- 29 M. Descoteaux. High Angular Resolution Diffusion MRI: From Local Estimation to Segmentation and Tractography. University of Nice-Sophia Antipolis, 2008.
- 30 B. Jeurissen, A. Leemans, J.-D. Tournier, D. K. Jones, and J. Sijbers. Investigating the Prevalence of Complex Fiber Configurations in White Matter Tissue with Diffusion Magnetic Resonance Imaging. Hum. Brain Mapp. 2012, 34(11), pp 2747–2766.
- 31 D. S. Tuch, J. W. Belliveau, T. G. Reese, and V. J. Wedeen. High Angular Resolution Imaging of the Human Brain, in Proc. of the International Society for the Magnetic Resonance in Medicine; 1999, p 321.
- 32 V. J. Wedeen, T. G. Reese, D. S. Tuch, M. R. Wiegel, J.-G. Dou, R. M. Weiskoff, and D. Chessler. Mapping Fiber Orientation Spectra in Cerebral White Matter with Fourier-Transform Diffusion MRI, in Proc. of the International Society of Magnetic Resonance in Medicine; 2000, p 82.
- 33 D. S. Tuch, T. G. Reese, M. R. Wiegell, N. G. Makris, J. W. Belliveau, and V. J. Wedeen. High Angular Resolution Diffusion Imaging Reveals Intravoxel White Matter Fiber Heterogeneity. Magn. Reson. Med. 2002, 48(4), pp 577–582.
- 34 D. S. Tuch. Diffusion MRI of Complex Tissue Structure. Harvard University and Massachusetts Institute of Technology, 2002.
- 35 Y.-C. Wu and A. L. Alexander. Hybrid Diffusion Imaging. Neuroimage 2007, 36, pp 617–629.
- 36 P. T. Callaghan, C. D. Eccles, and Y. Xia. Rapid Communication: NMR Microscopy of Dynamic Displacements: k-Space and q-Space Imaging. J. Phys. E 1988, 21, pp 820–822.
- 37
P. T. Callaghan.
Principles of Nuclear Magnetic Resonance Microscopy.
Oxford University Press:
Oxford,
1991.
10.1093/oso/9780198539445.001.0001 Google Scholar
- 38 K. Setsompop, R. Kimmlingen, E. Eberlein, T. Witzel, J. Cohen-Adad, J. A. McNab, B. Keil, M. D. Tisdall, P. Hoecht, P. Dietz, S. F. Cauley, V. Tountcheva, V. Matschl, V. H. Lenz, K. Heberlein, A. Potthast, H. Thein, J. Van Horn, A. Toga, F. Schmitt, and E. Al. Pushing the Limits of In Vivo Diffusion MRI for the Human Connectome Project. Neuroimage 2013, 80, pp 220–233.
- 39 R. N. Bracewell. The Fourier Transform and Its Applications. McGraw-Hill Higher Education, 2000; p 616.
- 40 V. J. Wedeen, P. Hagmann, W.-Y. I. Tseng, T. G. Reese, and R. M. Weisskoff. Mapping Complex Tissue Architecture with Diffusion Spectrum Magnetic Resonance Imaging. Magn. Reson. Med. 2005, 54(6), pp 1377–1386.
- 41 M. Descoteaux, R. Deriche, D. Le Bihan, J.-F. Mangin, and C. Poupon. Multiple q-Shell Diffusion Propagator Imaging. Med. Image Anal. 2011, 15(4), pp 603–621.
- 42 E. Ozarslan, C. G. Koay, T. M. Shepherd, M. E. Komlosh, M. O. Irfanoğlu, C. Pierpaoli, and P. J. Basser. Mean Apparent Propagator (MAP) MRI: A Novel Diffusion Imaging Method for Mapping Tissue Microstructure. Neuroimage 2013, 78, pp 16–32.
- 43 D. G. Cory. Measurement of Translational Displacement Probabilities by NMR: An Indicator of Compartmentation. Magn. Reson. Med. 1990, 14(3), pp 435–444.
- 44 P. Hagmann, L. Jonasson, P. Maeder, J.-P. Thiran, V. J. Wedeen, and R. Meuli. Understanding Diffusion MR Imaging Techniques: From Scalar Diffusion-Weighted Imaging to Diffusion Tensor Imaging and Beyond. RadioGraphics 2006, 26, pp S205–S223.
- 45
S. Seunarine, K.
and
D. C. Alexander.
Multiple Fibres: Beyond the Diffusion Tensor. In
Diffusion MRI; T. E.; Behrens H. Johansen-Berg, Eds.;
Elsevier,
2009;
pp 55–72.
10.1016/B978-0-12-374709-9.00004-3 Google Scholar
- 46 J.-D. Tournier, S. Mori, and A. Leemans. Diffusion Tensor Imaging and Beyond. Magn. Reson. Med. 2011, 65(6), pp 1532–1556.
- 47
D. K. Jones,
M. A. Horsfield, and
A. Simmons.
Optimal Strategies for Measuring Diffusion in Anisotropic Systems by Magnetic Resonance Imaging.
Magn. Reson. Med.
1999,
42,
pp 515–525.
10.1002/(SICI)1522-2594(199909)42:3<515::AID-MRM14>3.0.CO;2-Q CAS PubMed Web of Science® Google Scholar
- 48 L. R. Frank. Characterization of Anisotropy in High Angular Resolution Diffusion-Weighted {MRI}. Magn. Reson. Med. 2002, 47(6), pp 1083–1099.
- 49 D. C. Alexander, G. J. Barker, and S. R. Arridge. Detection and Modeling of Non-Gaussian Apparent Diffusion Coefficient Profiles in Human Brain Data. Magn. Reson. Med. 2002, 48, pp 331–340.
- 50 M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche. Apparent Diffusion Coefficients from High Angular Resolution Diffusion Imaging: Estimation and Applications. Magn. Reson. Med. 2006, 56(2), pp 395–410.
- 51 M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche. Regularized, Fast, and Robust Analytical q-Ball Imaging. Magn. Reson. Med. 2007, 58(3), pp 497–510.
- 52 K. E. Sakaie and M. J. Lowe. An Objective Method for Regularization of Fiber Orientation Distributions Derived from Diffusion-Weighted MRI. Neuroimage 2007, 34, pp 169–176.
- 53 C. P. Hess, P. Mukherjee, E. T. Han, D. Xu, and D. B. Vigneron. q-Ball Reconstruction of Multimodal Fiber Orientations Using the Spherical Harmonic Basis. Magn. Reson. Med. 2006, 56, pp 104–117.
- 54 E. Özarslan and T. H. Mareci. Generalized Diffusion Tensor Imaging and Analytical Relationships between Diffusion Tensor Imaging and High Angular Resolution Imaging. Magn. Reson. Med. 2003, 50, pp 955–965.
- 55 C. Liu, R. Bammer, B. Acar, and M. E. Moseley. Characterizing Non-Gaussian Diffusion by Using Generalized Diffusion Tensors. Magn. Reson. Med. 2004, 51, pp 924–937.
- 56 A. Ghosh, D. Wassermann, and R. Deriche. A Polynomial Approach for Maxima Extraction and Its Application to Tractography in HARDI. Inf. Process. Med. Imaging 2011, 22, pp 723–734.
- 57 A. Ghosh, T. Papadopoulo, and R. Deriche. Biomarkers for HARDI: 2nd & 4th Order Tensor Invariants, in 9th IEEE International Symposium on Biomedical Imaging (ISBI); 2012, pp 26–29.
- 58 I. Kezele, M. Descoteaux, C. Poupon, F. Poupon, and J.-F. Mangin. Spherical Wavelet Transform for ODF Sharpening. Med. Image Anal. 2010, 14(3), pp 332–342.
- 59 O. V Michailovich and Y. Rathi. On Approximation of Orientation Distributions by Means of Spherical Ridgelets. IEEE Trans. Image Process. 2009, 19(2), pp 461–477.
- 60 S. Merlet, E. Caruyer, A. Ghosh, and R. Deriche. A Computational Diffusion MRI and Parametric Dictionary Learning Framework for Modeling the Diffusion Signal and Its Features. Med. Image Anal. 2013, 17(7), pp 830–843.
- 61 D. S. Mallat. A Wavelet Tour of Signal Processing. Academic Press, 1999.
- 62 A. Daducci, E. Canales-Rodriguez, M. Descoteaux, Y. Gur, M. Mani, S. Merlet, A. Ramirez-Manzanares, P. Rodrigues, M. Reisert, and F. Sepehrband. Quantitative Comparison of Reconstruction Methods for Intra-Voxel Fiber Recovery from Diffusion MRI. IEEE Trans. Med. Imaging 2013, 33(2), pp 384–399.
- 63 E. J. Candes. Compressive Sampling, in Proc. of the International Congress of Mathematicians; 2006.
- 64 D. L. Donoho. Compressed Sensing. IEEE Trans Inf. Theory 2006, 52(4), pp 1289–1306.
- 65 E. A. von dem Hagen and R. M. Henkelman. Orientational Diffusion Reflects Fiber Structure within a Voxel. Magn. Reson. Med. 2002, 48, pp 454–459.
- 66 Y. Chen, W. Guo, Q. Zeng, X. Yan, F. Huang, H. Zhang, G. He, B. C. Vemuri, and Y. Liu. Estimation, Smoothing, and Characterization of Apparent Diffusion Coefficient Profiles from High Angular Resolution DWI. Comput. Vis. Pattern Recognit. 2004, 1, pp 588–593.
- 67 V. Prckovska, A. Vilanova, C. Poupon, B. ter Haar Romeny, and M. Descoteaux. Classification of Non-Gaussian Diffusion Profiles for HARDI Data Simplification, in Proc. of the International Society for Magnetic Resonance in Medicine; 2010.
- 68 D. Tuch. q-Ball Imaging. Magn. Reson. Med. 2004, 52(6), pp 1358–1372.
- 69 A. W. Anderson. Measurements of Fiber Orientation Distributions Using High Angular Resolution Diffusion Imaging. Magn. Reson. Med. 2005, 54, pp 1194–1206.
- 70 A. Barnett. Theory of q-ball Imaging Redux: Implications for Fiber Tracking. Magn. Reson. Med. 2009, 62(4), pp 910–923.
- 71 E. J. Canales-Rodr'iguez, L. Melie-Garc'ia, and Y. Iturria-Medina. Mathematical Description of q-Space in Spherical Coordinates: Exact q-Ball Imaging. Magn. Reson. Med. 2009, 61(6), pp 1350–1367.
- 72 A. Tristán-Vega, C.-F. Westin, and S. Aja-Fernández. A New Methodology for the Estimation of Fiber Populations in the White Matter of the Brain with the Funk–Radon Transform. Neuroimage 2010, 49(2), pp 1301–1315.
- 73 I. Aganj, C. Lenglet, G. Sapiro, E. Yacoub, K. Ugurbil, and N. Harel. Reconstruction of the Orientation Distribution Function in Single- and Multiple-Shell q-Ball Imaging within Constant Solid Angle. Magn. Reson. Med. 2010, 64(2), pp 554–566.
- 74 E. Özarslan, T. M. Shepherd, B. C. Vemuri, S. J. Blackband, and T. H. Mareci. Resolution of Complex Tissue Microarchitecture Using the Diffusion Orientation Transform (DOT). Neuroimage 2006, 31(3), pp 1086–1103.
- 75 M. Descoteaux, R. Deriche, T. R. Knösche, and A. Anwander. Deterministic and Probabilistic Tractography Based on Complex Fibre Orientation Distributions. IEEE Trans. Med. Imaging 2009, 28(2), pp 269–286.
- 76 M. Catani, I. Bodi, and F. Dell'Acqua. Comment on “The Geometric Structure of the Brain Fiber Pathways.” Science 2012, 337(6102), p 1605.
- 77 D. K. Jones, T. R. Knösche, and R. Turner. White Matter Integrity, Fiber Count, and Other Fallacies: The Do's and Don'ts of Diffusion MRI. Neuroimage 2013, 73, pp 239–254.
- 78 J.-D. Tournier, F. Calamante, D. G. Gadian, and A. Connelly. Direct Estimation of the Fiber Orientation Density Function from Diffusion-Weighted MRI Data Using Spherical Deconvolution. Neuroimage 2004, 23, pp 1176–1185.
- 79 J.-D. Tournier, F. Calamante, and A. Connelly. Robust Determination of the Fibre Orientation Distribution in Diffusion MRI: Non-Negativity Constrained Super-Resolved Spherical Deconvolution. Neuroimage 2007, 35(4), pp 1459–1472.
- 80 F. Dell'Acqua, G. Rizzo, P. Scifo, R. A. Clarke, G. Scotti, and F. Fazio. A Model-Based Deconvolution Approach to Solve Fiber Crossing in Diffusion-Weighted MR Imaging. IEEE Trans. Biomed. Eng. 2007, 54(3), pp 462–472.
- 81 D. C. Alexander. Maximum Entropy Spherical Deconvolution for Diffusion MRI, in Image Processing in Medical Imaging; 2005, pp 76–87.
- 82 A. Ramirez-Manzanares, M. Rivera, B. C. Vemuri, P. Carney, and T. Mareci. Diffusion Basis Functions Decomposition for Estimating White Matter Intravoxel Fiber Geometry. IEEE Trans. Med. Imaging 2007, 26(8), pp 1091–1102.
- 83 J.-D. Tournier, F. Calamante, and A. Connelly. MRtrix: Diffusion Tractography in Crossing Fiber Regions. Int. J. Imaging Syst. Technol. 2012, 22(1), pp 53–66.
- 84 E. Garyfallidis, M. Brett, B. Amirbekian, A. Rokem, S. van der Walt, M. Descoteaux, and I. Nimmo-Smith. Dipy, A Library for the Analysis of Diffusion MRI Data. Front. Neuroinform. 2014, 8, p 8.
- 85 D. Raffelt, J.-D. Tournier, S. Rose, G. R. Ridgway, R. Henderson, S. Crozier, O. Salvado, and A. Connelly. Apparent Fibre Density: A Novel Measure for the Analysis of Diffusion-Weighted Magnetic Resonance Images. Neuroimage 2012, 59(4), pp 3976–3994.
- 86 F. Dell'acqua, A. Simmons, S. C. R. Williams, and M. Catani. Can Spherical Deconvolution Provide More Information Than Fiber Orientations? Hindrance Modulated Orientational Anisotropy, A True-Tract Specific Index to Characterize White Matter Diffusion. Hum. Brain Mapp. 2012, 34(10), pp 2464–2483.
- 87 K. M. Jansons and D. C. Alexander. Persistent Angular Structure: New Insights fom Diffusion Magnetic Resonance Imaging Data. Inverse Probl. 2003, 19, pp 1031–1046.
- 88 K. K. Seunarine and D. C. Alexander. Linear Persistent Angular Structure MRI and Non-Linear Spherical Deconvolution for Diffusion MRI, in International Society for Magnetic Resonance in Medicine; 2006, p 2726.
- 89 B. A. Inglis, E. L. Bossart, D. L. Buckley, E. D. W. III, and T. H. Mareci. Visualization of Neural Tissue Water Compartments Using Biexponential Diffusion Tensor MRI. Magn. Reson. Med. 2001, 45, pp 580–587.
- 90 R. Blyth, P. Cook, and D. C. Alexander. Tractography with Multiple Fibre Directions, in Proc. of the International Society of Magnetic Resonance in Medicine; 2003, p 240.
- 91 B. Scherrer, M. Taquet, and S. K. Warfield. Reliable Selection of the Number of Fascicles in Diffusion Images by Estimation of the Generalization Error. Inf. Process. Med. Imaging 2013, 23, pp 742–753.
- 92 K. M. Hasan, P. J. Basser, D. L. Parker, and A. L. Alexander. Analytical Computation of the Eigenvalues and Eigenvectors in {DT}-{MRI}. J. Magn. Reson. 2001, 152(1), pp 41–47.
- 93 Y. Chen, W. Guo, Q. Zeng, G. He, B. C. Vemuri, and Y. Liu. Recovery of Intra-Voxel Structure from HARD DWI, in International Symposium on Biomedical Imaging; 2004, pp 1028–1031.
- 94 S. E. Maier, S. Vajapeyam, H. Mamata, C.-F. Westin, F. A. Jolesz, and R. V Mulkern. Biexponential Diffusion Tensor Analysis of Human Brain Diffusion Data. Magn. Reson. Med. 2004, 51, pp 321–330.
- 95 S. Peleda, O. Friman, F. Jolesz, and C.-F. Westin. Geometrically Constrained Two-Tensor Model for Crossing Tracts in DWI. Magn. Reson. Imaging 2006, 24, pp 1263–1270.
- 96 J. G. Malcolm, M. E. Shenton, and Y. Rathi. Filtered Multitensor Tractography. IEEE Trans. Med. Imaging 2010, 29(9), pp 1664–1675.
- 97 T. McGraw, B. C. Vemuri, B. Yezierski, and T. Mareci. Von Mises–Fisher Mixture Model of the Diffusion ODF, in 3rd IEEE International Symposium on Biomedical Imaging (ISBI): Macro to Nano; 2006.
- 98 B. Jian, B. C. Vemuri, E. Ozarslan, P. R. Carney, and T. H. Mareci. A Novel Tensor Distribution Model for the Diffusion-Weighted MR Signal. Neuroimage 2007, 37, pp 164–176.
- 99 Y. Rathi, O. Michailovich, M. E. Shenton, and S. Bouix. Directional Functions for Orientation Distribution Estimation. Med. Image Anal. 2009, 13(3), pp 432–444.
- 100 T. Hosey, G. Williams, and R. Ansorge. Inference of Multiple Fiber Orientation in High Angular Resolution Diffusion Imaging. Magn. Reson. Med. 2005, 54, pp 1480–1489.
- 101 T. E. J. Behrens, H. Johansen-Berg, S. Jbabdi, M. F. S. Rushworth, and M. W. Woolrich. Probabilistic Diffusion Tractography with Multiple Fibre Orientations: What Can We Gain? Neuroimage 2007, 34(1), pp 144–155.
- 102 T. E. J. Behrens, M. W. Woolrich, M. Jenkinson, H. Johansen-Berg, R. G. Nunes, S. Clare, P. M. Matthews, J. M. Brady, and S. M. Smith. Characterization and Propagation of Uncertainty in Diffusion-Weighted MR Imaging. Magn. Reson. Med. 2003, 50, pp 1077–1088.
- 103 T. E. J. Behrens, H. Johansen-Berg, M. W. Woolrich, S. M. Smith, C. A. M. Wheeler-Kingshott, P. A. Boulby, G. J. Barker, E. L. Sillery, K. Sheehan, O. Ciccarelli, A. J. Thompson, J. M. Brady, and P. M. Matthews. Non-Invasive Mapping of Connections between Human Thalamus and Cortex Using Diffusion Imaging. Nat. Neurosci. 2003, 6(7), pp 750–757.
- 104 S. Jbabdi and H. Johansen-Berg. Tractography: Where Do We Go from Here? Brain Connect. 2011, 1(3), pp 169–183.
- 105 S. N. Sotiropoulos, T. E. J. Behrens, and S. Jbabdi. Ball and Rackets: Inferring Fiber Fanning from Diffusion-Weighted MRI. Neuroimage 2012, 60(2), pp 1412–1425.
- 106 Y. Assaf, A. Mayk, and Y. Cohen. Displacement Imaging of Spinal Cord Using q-Space Diffusion-Weighted MRI. Magn. Reson. Med. 2000, 44, pp 713–722.
- 107 Y. Cohen and Y. Assaf. High b-Value q-Space Analyzed Diffusion-Weighted MRS and MRI in Neuronal Tissues: A Technical Review. NMR Biomed. 2002, 15, pp 516–542.
- 108 Y. Assaf and P. J. Basser. Composite Hindered and Restricted Model of Diffusion (CHARMED) MR Imaging of the Human Brain. Neuroimage 2005, 27(1), pp 48–58.
- 109 Y. Assaf, T. Blumenfeld-Katzir, Y. Yovel, and P. J. Basser. AxCaliber: A Method for Measuring Axon Diameter Distribution from Diffusion MRI. Magn. Reson. Med. 2008, 59(6), pp 1347–1354.
- 110 D. C. Alexander. A General Framework for Experiment Design in Diffusion MRI and Its Application in Measuring Direct Tissue-Microstructure Features. Magn. Reson. Med. 2008, 60(2), pp 439–448.
- 111 D. C. Alexander, P. L. Hubbard, M. G. Hall, E. A. Moore, M. Ptito, G. J. M. Parker, and T. B. Dyrby. Orientationally Invariant Indices of Axon Diameter and Density from Diffusion MRI. Neuroimage 2010, 52(4), pp 1374–1389.
- 112 J. H. Jensen, J. A. Helpern, A. Ramani, H. Lu, and K. Kaczynski. Diffusional Kurtosis Imaging: The Quantification of Non- Gaussian Water Diffusion by Means of Magnetic Resonance Imaging. Magn. Reson. Med. 2005, 53, pp 1432–1440.
- 113 C. Liu, S. C. Mang, and M. E. Moseley. In Vivo Generalized Diffusion Tensor Imaging (GDTI) Using Higher-Order Tensors (HOT). Magn. Reson. Med. 2010, 63(1), pp 243–252.
- 114 B. Scherrer and S. K. Warfield. Why Multiple b-Values Are Required for Multi-Tensor Models: Evaluation with a Constrained Log-Euclidean Model, in 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro; 2010, pp 1389–1392.
- 115 H. Zhang, T. Schneider, C. A. Wheeler-Kingshott, and D. C. Alexander. NODDI: Practical In Vivo Neurite Orientation Dispersion and Density Imaging of the Human Brain. Neuroimage 2012, 61(4), pp 1000–1016.
- 116 M. H. Khachaturian, J. J. Wisco, and D. S. Tuch. Boosting the Sampling Efficiency of q-Ball Imaging Using Multiple Wavevector Fusion. Magn. Reson. Med. 2007, 57, pp 289–296.
- 117 Y.-C. Wu, A. S. Field, and A. L. Alexander. Computation of Diffusion Function Measures in q-Space Using Magnetic Resonance Hybrid Diffusion Imaging. IEEE Trans. Med. Imaging 2008, 27(6), pp 858–865.
- 118 H.-E. Assemlal, D. Tschumperlé, and L. Brun. Efficient and Robust Computation of PDF Features from Diffusion MR Signal. Med. Image Anal. 2009, 13(5), pp 715–729.
- 119 A. Tabesh, J. H. Jensen, B. A. Ardekani, and J. A. Helpern. Estimation of Tensors and Tensor-Derived Measures in Diffusional Kurtosis Imaging. Magn. Reson. Med. 2011, 65(3), pp 823–836.
- 120 A. Ghosh, T. Milne, and R. Deriche. Constrained Diffusion Kurtosis Imaging Using Ternary Quartics & MLE. Magn. Reson. Med. 2013, 71(4), pp 1581–1591.
- 121 J. Veraart, W. Van Hecke, and J. Sijbers. Constrained Maximum Likelihood Estimation of the Diffusion Kurtosis Tensor Using a Rician Noise Model. Magn. Reson. Med., 2011, 66(3), pp 678–686.
- 122 A. Tabesh, J. H. Jensen, B. A. Ardekani, and J. A. Helpern. Estimation of Tensors and Tensor-Derived Measures in Diffusional Kurtosis Imaging. Magn. Reson. Med. 2011, 65(3), pp 823–836.
- 123 P. Savadjiev, J. S. W. Campbell, M. Descoteaux, R. Deriche, G. B. Pike, and K. Siddiqi. Labeling of Ambiguous Subvoxel Fibre Bundle Configurations in High Angular Resolution Diffusion MRI. Neuroimage 2008, 41(1), pp 58–68.
- 124 C. P. Lin, V. J. Wedeen, J. H. Chen, C. Yao, and W. Y. I. Tseng. Validation of Diffusion Spectrum Magnetic Resonance Imaging with Manganese-Enhanced Rat Optic Tracts and Ex Vivo Phantoms. Neuroimage 2003, 19, pp 482–495.
- 125 M. Perrin, C. Poupon, Y. Cointepas, B. Rieul, N. Golestani, C. Pallier, D. Riviere, A. Constantinesco, D. Le Bihan, and J.-F. Mangin. Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories, in Information Processing in Medical Imaging; 2005, pp 52–63.
- 126 J. S. W. Campbell, P. Savadjiev, K. Siddiqi, and G. B. Pike. Validation and Regularization in Diffusion MRI Tractography, in Third IEEE International Symposium on Biomedical Imaging (ISBI): From Nano to Macro; 2006, pp 351–354.
- 127 C. Poupon, B. Rieul, I. Kezele, M. Perrin, F. Poupon, and J.-F. Mangin. New Diffusion Phantoms Dedicated to the Study and Validation of HARDI Models. Magn. Reson. Med. 2008, 60, pp 1276–1283.
- 128 J.-D. Tournier, C.-H. Yeh, F. Calamante, K.-H. Cho, A. Connelly, and C.-P. Lin. Resolving Crossing Fibres Using Constrained Spherical Deconvolution: Validation Using Diffusion-Weighted Imaging Phantom Data. Neuroimage 2008, 42(2), pp 617–625.
- 129 E. Fieremans, Y. De Deene, S. Delputte, M. S. O. Zdemir, E. Achten, and I. Lemahieu. The Design of Anisotropic Diffusion Phantoms for the Validation of Diffusion Weighted Magnetic Resonance Imaging. Phys. Med. Biol. 2008, 53, pp 5405–5419.
- 130 P. Pullens, A. Roebroeck, and R. Goebel. Ground Truth Hardware Phantoms for Validation of Diffusion-Weighted MRI Applications. J. Magn. Reson. Imaging 2010, 32(2), pp 482–488.
- 131 A. Moussavi-Biugui, B. Stieltjes, K. Fritzsche, W. Semmler, and F. B. Laun. Novel Spherical Phantoms for q-Ball Imaging under In Vivo Conditions. Magn. Reson. Med. 2011, 65(1), pp 190–194.
- 132 P. Fillard, M. Descoteaux, A. Goh, S. Gouttard, B. Jeurissen, J. Malcolm, A. Ramirez-Manzanares, M. Reisert, K. Sakaie, F. Tensaouti, T. Yo, J.-F. Mangin, and C. Poupon. Quantitative Evaluation of 10 Tractography Algorithms on a Realistic Diffusion MR Phantom. Neuroimage 2011, 56(1), pp 220–234.
- 133 M. G. Hall and D. C. Alexander. Convergence and Parameter Choice for Monte-Carlo Simulations of Diffusion MRI. IEEE Trans. Med. Imaging 2009, 28(9), pp 1354–1364.
- 134 T. G. Close, J.-D. Tournier, F. Calamante, L. A. Johnston, I. Mareels, and A. Connelly. A Software Tool to Generate Simulated White Matter Structures for the Assessment of Fibre-Tracking Algorithms. Neuroimage 2009, 47(4), pp 1288–1300.
- 135 K. K. Seunarine, P. A. Cook, M. G. Hall, K. V. Embleton, G. J. M. Parker, and D. C. Alexander. Exploiting Peak Anisotropy for Tracking through Complex Structures, in Mathematical Methods in Biomedical Image Analysis (MMBIA 2007), held in conjunture with the 11th International Conference on Computer Vision; 2007, pp 1–8.
- 136 A. Goh, C. Lenglet, P. M. Thompson, and R. Vidal. Estimating Orientation Distribution Functions with Probability Density Constraints and Spatial Regularity, in Proc. of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I; 2009, LNCS, vol. 5761, pp 877–885.
- 137 R. Duits and E. Franken. Left-Invariant Diffusions on the Space of Positions and Orientations and Their Application to Crossing-Preserving Smoothing of HARDI Images. Int. J. Comput. Vis. 2010, 92(3), pp 231–264.
- 138 M. Reisert and V. Kiselev. Fiber Continuity: An Anisotropic Prior for ODF Estimation. IEEE Trans. Med. Imaging 2011, 30(6), pp 1274–1283.
- 139 D. Fortin, C. Aubin-Lemay, A. Boré, G. Girard, J.-C. Houde, K. Whittingstall, and M. Descoteaux. Tractography in the Study of the Human Brain: A Neurosurgical Perspective. Can. J. Neurol. Sci. 2012, 39(6), pp 747–756.
- 140 M. Chamberland, K. Whittingstall, D. Fortin, D. Mathieu, and M. Descoteaux. Real-Time Multi-Peak Tractography for Instantaneous Connectivity Display. Front. Neuroinform. 2014, 8, p 59.
- 141 P. Hagmann, L. Cammoun, X. Gigandet, R. Meuli, C. J. Honey, V. J. Wedeen, and O. Sporns. Mapping the Structural Core of Human Cerebral Cortex. PLoS Biol. 2008, 6(7), p e159.
- 142 C. J. Honey, J.-P. Thivierge, and O. Sporns. Can Structure Predict Function in the Human Brain? Neuroimage 2010, 52(3), pp 766–776.
- 143 O. Sporns. The Human Connectome: Origins and Challenges. Neuroimage 2013, 80, pp 53–61.
- 144 M.-A. Côté, G. Girard, A. Boré, E. Garyfallidis, J.-C. Houde, and M. Descoteaux. Tractometer: Towards Validation of Tractography Pipelines. Med. Image Anal. 2013, 17(7), pp 857–844.
- 145 S. Farquharson, J.-D. Tournier, F. Calamante, G. Fabinyi, M. Schneider-Kolsky, G. D. Jackson, and A. Connelly. White Matter Fiber Tractography: Why We Need to Move beyond DTI. J. Neurosurg. 2013, 118(6), pp 1367–1377.
- 146 H. Johansen-Berg and T. E. J. Behrens. Diffusion MRI. Elsevier, 2009.
- 147
M. Catani and
M. Thiebaut de Schotten.
Atlas of Human Brain Connections.
Oxford University Press,
2012.
10.1093/med/9780199541164.001.0001 Google Scholar
- 148 M. Catani, D. K. Jones, and D. H. Ffytche. Perisylvian Language Networks of the Human Brain. Ann. Neurol. 2005, 57(1), pp 8–16.
- 149 M. Catani, R. J. Howard, S. Pajevic, and D. K. Jones. Virtual In Vivo Interactive Dissection of White Matter Fasciculi in the Human Brain. Neuroimage 2002, 17, pp 77–94.
- 150 G. Girard, K. Whittingstall, R. Deriche, and M. Descoteaux. Towards Quantitative Connectivity Analysis: Reducing Tractography Biases. Neuroimage 2014, 98(1), pp 266–278.
- 151 F. Pestilli, J. D. Yeatman, A. Rokem, K. N. Kay, and B. A. Wandell, (2014). Evaluation and statistical inference for human connectomes. Nature Methods, advance on. doi:10.1038/nmeth.3098
- 152 A. Daducci, A. Dal Palu, L. Alia, J.-P. Thiran, (2014). COMMIT: Convex Optimization Modeling for Micro-structure Informed Tractography. IEEE Transactions on Medical Imaging, PP(99), 1–1. doi:10.1109/TMI.2014.2352414
- 153 H. Duffau. Lessons from Brain Mapping in Surgery for Low-Grade Glioma: Insights into Associations between Tumour and Brain Plasticity. Lancet Neurol. 2005, 4(8), pp 476–486.
- 154 D. Leclercq, H. Duffau, C. Delmaire, L. Capelle, P. Gatignol, M. Ducros, J. Chiras, and S. Lehéricy. Comparison of Diffusion Tensor Imaging Tractography of Language Tracts and Intraoperative Subcortical Stimulations. J. Neurosurg. 2010, 112(3), pp 503–511.
- 155 Y. Iturria-Medina, R. C. Sotero, E. J. Canales-Rodríguez, Y. Alemàn-Gòmez, and L. Melie-García. Studying the Human Brain Anatomical Network via Diffusion-Weighted MRI and Graph Theory. Neuroimage 2008, 40, pp 1064–1076.
- 156 A. Anwander, M. Tittgemeyer, D. Y. von Cramon, A. D. Friederici, and T. R. Knosche. Connectivity-Based Parcellation of Broca's Area. Cereb. Cortex 2007, 17(4), pp 816–825.
- 157
M. Perrin,
Y. Cointepas,
A. Cachia,
C. Poupon,
B. Thirion,
D. Rivière,
P. Cathier,
V. El Kouby,
A. Constantinesco,
D. Le Bihan, and
J.-F. Mangin.
Connectivity-Based Parcellation of the Cortical Mantle Using q-Ball Diffusion Imaging.
Int. J. Biomed. Imaging
2008,
2008,
pp 1–19.
10.1155/2008/368406 Google Scholar
- 158 L. Marrakchi-Kacem, C. Delmaire, A. Tucholka, P. Roca, P. Guevara, F. Poupon, J. Yelnik, A. Durr, J.-F. Mangin, S. Lehericy, and C. Poupon. Analysis of the Striato-Thalamo-Cortical Connectivity on the Cortical Surface to Infer Biomarkers of Huntington's Disease. Med. Image Comput. Comput. Assist. Interv. 2010, 13(Part 2), pp 217–224.
- 159 M. A. Koch, D. G. Norris, and M. Hund-Georgiadis. An Investigation of Functional and Anatomical Connectivity Using Magnetic Resonance Imaging. Neuroimage 2002, 16, pp 241–250.
- 160 M. Guye, G. J. M. Parker, M. Symms, P. Boulby, C. A. M. Wheeler-Kingshott, A. Salek-Haddadi, G. J. Barker, and J. S. Duncana. Combined Functional {MRI} and Tractography to Demonstrate the Connectivity of the Human Primary Motor Cortex In Vivo. Neuroimage 2003, 19, pp 1349–1360.
- 161 M. Guye, F. Bartolomei, and J.-P. Ranjeva. Imaging Structural and Functional Connectivity: Towards a Unified Definition of Human Brain Organization? Curr. Opin. Neurol. 2008, 21(4), pp 393–403.
- 162 F. D. Bowman, L. Zhang, G. Derado, and S. Chen. Determining Functional Connectivity Using fMRI Data with Diffusion-Based Anatomical Weighting. Neuroimage 2012, 62(3), pp 1769–1779.
- 163 P. Skudlarski, K. Jagannathan, V. D. Calhoun, M. Hampson, B. A. Skudlarska, and G. Pearlson. Measuring Brain Connectivity: Diffusion Tensor Imaging Validates Resting State Temporal Correlations. Neuroimage 2008, 43(3), pp 554–561.
- 164 C. J. Honey, O. Sporns, L. Cammoun, X. Gigandet, J. P. Thiran, R. Meuli, and P. Hagmann. Predicting Human Resting-State Functional Connectivity from Structural Connectivity. Proc. Natl. Acad. Sci. USA 2009, 106(6), pp 2035–2040.
- 165 K. Whittingstall, M. Bernier, J.-C. Houde, D. Fortin, and M. Descoteaux. Structural Network Underlying Visuospatial Imagery in Humans. Cortex 2014, 56(July), pp 85–98.
- 166 S. Smith. Introduction to the NeuroImage Special Issue “Mapping the Connectome.” Neuroimage 2013, 80, p 1.
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