Regularizing the ODF estimate with the Laplace-Beltrami operator in 3D Polarized Light Imaging

Abstract : 3D-Polarized Light Imaging (3D-PLI) is an optical approach that utilizes the birefringence in postmortem organs (brain/ heart) to map their spatial fiber structure at a submillimeter resolution. Recently, Axer et al. proposed a strategy to bridge it to relatively low diffusion MRI spatial resolution by introducing an estimate of the fiber orientation distribution functions (pliODF) from high-resolution 3D-PLI vector data. However, this method introduces angular errors by discretizing the directional histogram (DH), which limits the spherical harmonics (SH) expansion order. In this work, we propose to improve the angular resolution by making use of the Laplace-Beltrami (LB) operator to regularize the SH coefficients which define the fiber ODF at higher orders.
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https://hal.inria.fr/hal-01659253
Contributor : Abib Olushola Yessouffou Alimi <>
Submitted on : Friday, December 8, 2017 - 11:34:20 AM
Last modification on : Thursday, January 11, 2018 - 4:18:59 PM

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Abib O. Y. Alimi, Samuel Deslauriers-Gauthier, Rachid Deriche. Regularizing the ODF estimate with the Laplace-Beltrami operator in 3D Polarized Light Imaging. CoBCoM 2017 - Computational Brain Connectivity Mapping Winter School Workshop, Nov 2017, Juan-les-Pins, France. pp.1, ⟨https://project.inria.fr/cobcom2017/⟩. ⟨hal-01659253⟩

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