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A Wasserstein-Space-Based Framework for Processing Fiber Orientation Geometry in Diffusion MRI.

Xinyu Nie, Yonggang Shi

IEEE Transactions on Medical Imaging

|August 4, 2025

Summary

This summary is machine-generated.

This study introduces a new framework using Wasserstein space to process complex fiber orientation distribution (FOD) functions in diffusion MRI. This method improves fiber tracking accuracy by accounting for fiber bundle rotations.

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Area of Science:

Neuroimaging
Diffusion MRI Analysis
Computational Neuroscience

Background:

Fiber orientation distribution (FOD) functions model complex white matter architecture in diffusion MRI.
Current methods struggle with FOD function complexity, particularly fiber bundle rotations, leading to inaccurate tractography.
Accurate processing of FOD functions is crucial for understanding brain connectivity.

Purpose of the Study:

To develop a novel framework for processing and analyzing FOD functions that accounts for fiber-bundle-specific geometry.
To improve the accuracy of FOD interpolation and subsequent fiber tracking.
To address limitations in current diffusion MRI data processing.

Main Methods:

Spherical deconvolution to decompose FOD functions into single-peak lobes.
Embedding FOD lobes into Wasserstein space to define a rotation-aware metric.
Geometry-aware clustering for regrouping FOD lobes and bundle-specific processing.
FOD interpolation using the Barycenter of the new metric with an efficient approximation.

Main Results:

The proposed Wasserstein space framework effectively handles complex fiber geometries.
Anatomically meaningful FOD interpolations were achieved.
Significant enhancement in the performance of FOD-based tractography was demonstrated on synthetic and real-world datasets (HCP, ADNI).

Conclusions:

The novel Wasserstein space framework offers a robust solution for processing complex FOD functions.
This approach improves the anatomical accuracy of diffusion MRI-based fiber tracking.
The method has broad implications for neuroimaging research, including studies of neurological disorders.