Computation of diffusion function measures in q-space using magnetic resonance hybrid diffusion imaging

Yu Chien Wu, Aaron S. Field, Andrew L. Alexander

Research output: Contribution to journalArticle

50 Scopus citations


The distribution of water diffusion in biological tissues may be estimated by a 3-D Fourier transform (FT) of diffusion-weighted measurements in q-space. In this study, methods for estimating diffusion spectrum measures (the zero-displacement probability, the mean-squared displacement, and the orientation distribution function) directly from the q-space signals are described. These methods were evaluated using both computer simulations and hybrid diffusion imaging (HYDI) measurements on a human brain. The HYDI method obtains diffusion-weighted measurements on concentric spheres in q-space. Monte Carlo computer simulations were performed to investigate effects of noise, q-space truncation, and sampling interval on the measures. This new direct computation approach reduces HYDI data processing time and image artifacts arising from 3-D FT and regridding interpolation. In addition, it is less sensitive to the noise and q-space truncation effects than conventional approach. Although this study focused on data using the HYDI scheme, this computation approach may be applied to other diffusion sampling schemes including Cartesian diffusion spectrum imaging.

Original languageEnglish (US)
Article number4483774
Pages (from-to)858-865
Number of pages8
JournalIEEE Transactions on Medical Imaging
Issue number6
StatePublished - Jun 1 2008
Externally publishedYes


  • Diffusion
  • Diffusion spectrum imaging
  • Diffusion tensor imaging
  • Orientation distribution function
  • Q-space

ASJC Scopus subject areas

  • Software
  • Radiological and Ultrasound Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering

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