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Biennial International Conference on Information Processing in Medical Imaging

IPMI 2003: Information Processing in Medical Imaging pp 672–683Cite as

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

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2732))

Abstract

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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Author information

Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    Kalvis M. Jansons

  2. Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, UK

    Daniel C. Alexander

Authors
  1. Kalvis M. Jansons
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  2. Daniel C. Alexander
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Editor information

Editors and Affiliations

  1. Imaging Science and Biomedical Engineering (ISBE), University of Manchester, Stopford Building, Manchester, UK

    Chris Taylor

  2. Department of Engineering Science, University of Oxford, UK

    J. Alison Noble

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© 2003 Springer-Verlag Berlin Heidelberg

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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. https://doi.org/10.1007/978-3-540-45087-0_56

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  • DOI: https://doi.org/10.1007/978-3-540-45087-0_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40560-3

  • Online ISBN: 978-3-540-45087-0

  • eBook Packages: Springer Book Archive

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