Multiple q-Shell ODF Reconstruction in q-Ball Imaging

Abstract

Q-ball imaging (QBI) is a high angular resolution diffusion imaging (HARDI) technique which has been proven very successful in resolving multiple intravoxel fiber orientations in MR images. The standard computation of the orientation distribution function (ODF, the probability of diffusion in a given direction) from q-ball uses linear radial projection, neglecting the change in the volume element along the ray, thereby resulting in distributions different from the true ODFs. A new technique has been recently proposed that, by considering the solid angle factor, uses the mathematically correct definition of the ODF and results in a dimensionless and normalized ODF expression from a single q-shell. In this paper, we extend this technique in order to exploit HARDI data from multiple q-shells. We consider the more flexible multiexponential model for the diffusion signal, and show how to efficiently compute the ODFs in constant solid angle. We describe our method and demonstrate its improved performance on both artificial and real HARDI data.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 2009
Accession Number
ADA513261

Entities

People

  • Christophe Lenglet
  • Essa Yacoub
  • Guillermo Sapiro
  • Iman Aganj
  • Kamil Ugurbil
  • Noam Harel

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computations
  • Delta Functions
  • Diffusion
  • Diffusion Coefficient
  • Distribution Functions
  • Equations
  • Fourier Analysis
  • Frequency
  • Integrals
  • Magnetic Resonance
  • Magnetic Resonance Imaging
  • Mathematics
  • Minnesota
  • Probability
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Nanofabrication and Microfabrication.
  • Software Verification and Validation.