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Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
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Diffeomorphic image registration of diffusion MRI using spherical harmonics.

Xiujuan Geng1, Thomas J Ross, Hong Gu

  • 1Neuroimaging Research Branch, Intramural Research Program, National Institute on Drug Abuse, National Institutes of Health, Baltimore, MD 21224, USA. gengx@nida.nih.gov

IEEE Transactions on Medical Imaging
|December 8, 2010
PubMed
Summary

This study introduces a new diffeomorphic registration method for diffusion MRI data, improving alignment of orientation distribution functions (ODFs) for better white matter atlases and group analyses.

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Area of Science:

  • Neuroimaging
  • Medical Image Analysis
  • Computational Neuroscience

Background:

  • Nonrigid registration of diffusion MRI is essential for group studies and atlas creation.
  • Current methods often struggle with aligning diffusion tensor imaging (DTI) data effectively.
  • High angular resolution diffusion imaging (HARDI) offers richer information but requires advanced registration techniques.

Purpose of the Study:

  • To develop a novel diffeomorphic registration method for HARDI data by mapping orientation distribution functions (ODFs).
  • To improve the accuracy and consistency of diffusion MRI registration for advanced neuroimaging analyses.
  • To enable more precise construction of white matter and fiber tract atlases.

Main Methods:

  • Proposed a diffeomorphic registration framework for ODFs reconstructed using q-ball imaging (QBI) and represented by spherical harmonics (SHs).
  • Implemented a novel ODF reorientation mechanism using Wigner rotation matrices applied to SH coefficients during registration.
  • Validated the method on simulated and real datasets using metrics like transformation field accuracy, fractional anisotropy consistency, and directional consistency.

Main Results:

  • The proposed diffeomorphic registration significantly improved upon initial affine alignment.
  • Registration accuracy increased with higher-order spherical harmonics, reducing shape differences.
  • Enhanced directional consistency between registered and reference ODF maps was observed.

Conclusions:

  • The novel diffeomorphic registration method effectively aligns ODF maps from HARDI data.
  • Simultaneous ODF reorientation using Wigner rotation on SH coefficients is efficient and accurate.
  • Higher-order SH representations lead to improved registration accuracy and directional consistency in diffusion MRI.