Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version

  • Kalvis M. Jansons
  • Daniel C. Alexander
Conference paper

DOI: 10.1007/978-3-540-45087-0_56

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2732)
Cite this paper as:
Jansons K.M., Alexander D.C. (2003) Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version. In: Taylor C., Noble J.A. (eds) Information Processing in Medical Imaging. IPMI 2003. Lecture Notes in Computer Science, vol 2732. Springer, Berlin, Heidelberg


We determine a statistic called the radially Persistent Angular Structure (PAS) from samples of the Fourier transform of a three-dimensional function. The method has applications in diffusion magnetic resonance imaging (MRI), which samples the Fourier transform of the probability density function of particle displacements. The persistent angular structure is then a representation of the relative mobility of particles in each direction. In combination, PAS-MRI computes the persistent angular structure at each voxel of an image. This technique has biomedical applications, where it reveals the orientations of microstructural fibres, such as white-matter fibres in the brain.

We test PAS-MRI on synthetic and human brain data. The data come from a standard acquisition scheme for diffusion-tensor MRI in which the samples in each voxel lie on a sphere in Fourier space.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Kalvis M. Jansons
    • 1
  • Daniel C. Alexander
    • 2
  1. 1.Department of MathematicsUniversity College LondonLondonUK
  2. 2.Department of Computer ScienceUniversity College LondonLondonUK

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