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Implicit neural representation of multi-shell constrained spherical deconvolution for continuous modeling of

Tom Hendriks1, Anna Vilanova1, Maxime Chamberland1

  • 1Department of Computer Science and Mathematics, Eindhoven University of Technology, AP Eindhoven, The Netherlands.

Imaging Neuroscience (Cambridge, Mass.)
|March 13, 2025
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Summary

This study introduces an implicit neural representation (INR) for multi-shell multi-tissue constrained spherical deconvolution (MSMT-CSD) in diffusion MRI. This machine learning approach creates continuous brain fiber models, improving accuracy and leveraging spatial correlations.

Keywords:
FODsINRconstrained spherical deconvolutionfiber orientation distribution functionsimplicit neural representationmulti-shell diffusion MRI

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Area of Science:

  • Neuroimaging
  • Computational Neuroscience
  • Biomedical Engineering

Background:

  • Diffusion MRI (dMRI) reveals brain microstructure and macrostructure.
  • Multi-shell multi-tissue constrained spherical deconvolution (MSMT-CSD) models fiber orientation distributions (FODs) from dMRI data.
  • Voxel-wise MSMT-CSD is susceptible to noise, lacks spatial regularization, and requires costly interpolation.

Purpose of the Study:

  • To develop a novel unsupervised machine learning framework using implicit neural representations (INRs) for dMRI analysis.
  • To generate a continuous representation of dMRI datasets, overcoming limitations of voxel-wise methods.
  • To improve the accuracy and efficiency of modeling brain fiber orientation distributions.

Main Methods:

  • Applied implicit neural representation (INR) methodology to the MSMT-CSD model.
  • Developed an unsupervised machine learning framework generating a continuous representation of dMRI data.
  • Input coordinates into the INR to obtain spherical harmonics coefficients parameterizing FODs at any location.

Main Results:

  • The INR framework generates continuous FOD representations of dMRI datasets.
  • The model leverages spatial correlations between voxels, acting as a regularization technique.
  • Quantitative and qualitative evaluations on synthetic and real dMRI data demonstrate competitive performance.

Conclusions:

  • Implicit neural representations offer a powerful, continuous alternative to voxel-wise methods for dMRI analysis.
  • This approach enhances parameter estimation by utilizing spatial information and reducing noise impact.
  • The INR-based MSMT-CSD framework shows promise for more accurate and efficient brain microstructure modeling.