Quantifying the brain's sheet structure with normalized convolution

Medical Image Analysis
Chantal M W TaxAlexander Leemans

Abstract

The hypothesis that brain pathways form 2D sheet-like structures layered in 3D as "pages of a book" has been a topic of debate in the recent literature. This hypothesis was mainly supported by a qualitative evaluation of "path neighborhoods" reconstructed with diffusion MRI (dMRI) tractography. Notwithstanding the potentially important implications of the sheet structure hypothesis for our understanding of brain structure and development, it is still considered controversial by many for lack of quantitative analysis. A means to quantify sheet structure is therefore necessary to reliably investigate its occurrence in the brain. Previous work has proposed the Lie bracket as a quantitative indicator of sheet structure, which could be computed by reconstructing path neighborhoods from the peak orientations of dMRI orientation density functions. Robust estimation of the Lie bracket, however, is challenging due to high noise levels and missing peak orientations. We propose a novel method to estimate the Lie bracket that does not involve the reconstruction of path neighborhoods with tractography. This method requires the computation of derivatives of the fiber peak orientations, for which we adopt an approach called normalized convolu...Continue Reading

Citations

Nov 15, 2017·NMR in Biomedicine·Lauren J O'DonnellChristophe Lenglet
Feb 28, 2018·NMR in Biomedicine·Thomas Schultz, Anna Vilanova
Jan 10, 2021·Scientific Reports·Lipeng NingCarl-Fredrik Westin
Jun 16, 2021·Journal of Neuroimaging : Official Journal of the American Society of Neuroimaging·Fenghua GuoAlexander Leemans

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