About the geometry of asymmetric fiber orientation distributions

IEEE Transactions on Medical Imaging
Marco ReisertValerij G Kiselev

Abstract

Fiber orientation distributions (FODs) based on diffusion-sensitized magnetic resonance imaging are usually symmetric, primarily due to the nature of the diffusion. In contrast, the underlying fiber configurations are not, as bending or fanning configurations are inherently asymmetric. We propose to dismiss the symmetry of the FOD to additionally encode the asymmetry of the underlying fiber configuration. This is of particular importance for low resolution images that are common in diffusion weighted imaging. We set up the mathematical foundations and geometric interpretations of asymmetric FODs and show how one can benefit from these considerations. We infer a continuity condition that is used as a prior during FOD estimation by constrained spherical deconvolution. This new prior shows superior performance in comparison to other spatial regularization strategies in reliability and accuracy.

References

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Jun 11, 2010·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Iman AganjNoam Harel
Feb 15, 2011·IEEE Transactions on Medical Imaging·Marco Reisert, Valerij G Kiselev
Jun 7, 2011·NeuroImage·Mohammad-Reza Nazem-ZadehHamid Soltanian-Zadeh

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Citations

Jun 28, 2017·NMR in Biomedicine·Stamatios N Sotiropoulos, Andrew Zalesky
Aug 17, 2018·NMR in Biomedicine·Flavio Dell'Acqua, J-Donald Tournier
Apr 16, 2020·Medical Image Analysis·Yuanjing Feng, Jianzhong He

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