Probabilistic 4D blood flow tracking and uncertainty estimation

Aja-Fernandez, 2009, Noise estimation in single- and multiple-coil magnetic resonance data based on statistical models, Magn. Reson. Imag., 27, 1397, 10.1016/j.mri.2009.05.025 Aja-Fernandez, 2011, Statistical noise analysis in GRAPPA using a parametrized noncentral Chi approximation model, Magn. Reson. Med., 65, 1195, 10.1002/mrm.22701 Andersen, 1996, On the Rician distribution of noisy MRI data, Magn. Reson. Med., 36, 331, 10.1002/mrm.1910360222 Andersen, 1996, Analysis of noise in phase contrast MR imaging, Med. Phys., 23, 857, 10.1118/1.597729 Behrens, 2003, Characterization and propagation of uncertainty in diffusion-weighted MR imaging, Magn. Reson. Med., 50, 1077, 10.1002/mrm.10609 Bernstein, 1992, Minimizing TE in moment-nulled or flow-encoded two- and three-dimensional gradient-echo imaging, J. Magn. Reson. Imag., 2, 583, 10.1002/jmri.1880020517 Björnemo, M., Brun, A., Kikinis, R., Westin, C.F., 2002. Regularized stochastic white matter tractography using diffusion tensor MRI, in: Proceedings of the 5th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI’02), pp. 435–442. Constantinides, 1997, Signal-to-noise measurements in magnitude images from NMR phased arrays, Magn. Reson. Med., 38, 852, 10.1002/mrm.1910380524 Conturo, 1992, Analysis of encoding efficiency in MR imaging of velocity magnitude and direction, Magn. Reson. Med., 25, 233, 10.1002/mrm.1910250203 Conturo, 1990, Signal-to-noise in phase angle reconstruction: dynamic range extension using phase reference offsets, Magn. Reson. Med., 15, 420, 10.1002/mrm.1910150308 Darmofal, 1996, An analysis of 3D particle path integration algorithms, J. Comput. Phys., 123, 182, 10.1006/jcph.1996.0015 Dietrich, 2007, Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters, J. Magn. Reson. Imag., 26, 375, 10.1002/jmri.20969 2001 Dyverfeldt, 2006, Quantification of intravoxel velocity standard deviation and turbulence intensity by generalizing phase-contrast MRI, Magn. Reson. Med., 56, 850, 10.1002/mrm.21022 Firmin, 1987, In vivo validation of MR velocity imaging, J. Comput. Assist. Tomogr., 11, 751, 10.1097/00004728-198709000-00001 Friman, 2006, A Bayesian approach for stochastic white matter tractography, IEEE Trans. Med. Imag., 25, 965, 10.1109/TMI.2006.877093 Friman, O., Hennemuth, A., Harloff, A., Bock, J., Markl, M., Peitgen, H.O., 2010. Probabilistic 4D blood flow mapping, in: Proceedings of the 13th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI’10), pp. 416–423. Gudbjartsson, 1995, The Rician distribution of noisy MRI data, Magn. Reson. Med., 34, 910, 10.1002/mrm.1910340618 Hagmann, 2003, DTI mapping of human brain connectivity: Statistical fibre tracking and virtual dissection, NeuroImage, 19, 545, 10.1016/S1053-8119(03)00142-3 Harloff, 2009, 3D blood flow characteristics in the carotid artery bifurcation assessed by flow-sensitive 4D MRI at 3T, Magn. Reson. Med., 61, 65, 10.1002/mrm.21774 Henkelman, 1985, Measurement of signal intensities in the presence of noise in MR images, Med. Phys., 12, 232, 10.1118/1.595711 Jenkinson, 2003, Fast, automated, N-dimensional phase-unwrapping algorithm, Magn. Reson. Med., 49, 193, 10.1002/mrm.10354 Jones, 2005, Confidence mapping in diffusion tensor magnetic resonance imaging tractography using a bootstrap approach, Magn. Reson. Med., 53, 1143, 10.1002/mrm.20466 Koay, 2006, Analytically exact correction scheme for signal extraction from noisy magnitude MR signals, J. Magn. Reson., 179, 317, 10.1016/j.jmr.2006.01.016 Macovski, 1996, Noise in MRI, Magn. Reson. Med., 36, 494, 10.1002/mrm.1910360327 Markl, 2007, Time-resolved 3D MR velocity mapping at 3T: improved navigator-gated assessment of vascular anatomy and blood flow, J. Magn. Reson. Imag., 25, 824, 10.1002/jmri.20871 Napel, 1992, Visualizing three-dimensional flow with simulated streamlines and three-dimensional phase-contrast MR imaging, J. Magn. Reson. Imag., 2, 143, 10.1002/jmri.1880020206 Nayler, 1986, Blood flow imaging by cine magnetic resonance, J. Comput. Assist. Tomogr., 10, 715, 10.1097/00004728-198609000-00001 O’Brien, 2008, MRI phase contrast velocity and flow errors in turbulent stenotic jets, J. Magn. Reson. Imag., 28, 210, 10.1002/jmri.21395 Parker, 2005, Probabilistic anatomical connectivity using persistent angular structure obtained from diffusion weighted imaging, Philos. Trans. Roy. Soc. Lond. B: Biol. Sci., 360, 893, 10.1098/rstb.2005.1639 Parker, 2003, A framework for a streamline-based probabilistic index of connectivity (PICo) using a structural interpretation of MRI diffusion measurements, J. Magn. Reson. Imag., 18, 242, 10.1002/jmri.10350 Pelc, 1991, Encoding strategies for three-direction phase-contrast MR imaging of flow, J. Magn. Reson. Imag., 1, 405, 10.1002/jmri.1880010404 Pelc, 1991, Phase contrast cine magnetic resonance imaging, Magn. Reson. Quart., 7, 229 Pelc, 1994, Quantitative magnetic resonance flow imaging, Magn. Reson. Quart., 10, 125 Rice, 1944, Mathematical analysis of random noise, Bell Syst. Tech. J., 282, 10.1002/j.1538-7305.1944.tb00874.x Roemer, 1990, The NMR phased array, Magn. Reson. Med., 16, 192, 10.1002/mrm.1910160203 Salfity, 2006, Extending the dynamic range of phase contrast magnetic resonance velocity maging using advanced higher-dimensional phase unwrapping algorithms, J. Roy. Soc. Interface, 3, 415, 10.1098/rsif.2005.0096 Sijbers, 2004, Maximum likelihood estimation of signal amplitude and noise variance from MR data, Magn. Reson. Med., 51, 586, 10.1002/mrm.10728 Thunberg, 2005, Comparison of different methods for combining phase-contrast images obtained with multiple coils, Magn. Reson. Imag., 23, 795, 10.1016/j.mri.2005.06.002 Wigström, 1999, Particle trace visualization of intracardiac flow using time-resolved 3D phase contrast MRI, Magn. Reson. Med., 41, 793, 10.1002/(SICI)1522-2594(199904)41:4<793::AID-MRM19>3.0.CO;2-2 Wigström, 1996, Temporally resolved 3D phase-contrast imaging, Magn. Reson. Med., 36, 800, 10.1002/mrm.1910360521