Measures for pathway analysis in brain white matter using diffusion tensor images

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Abstract

In this paper we discuss new measures for connectivity analysis of brain white matter, using MR diffusion tensor imaging. Our approach is based on Riemannian geometry, the viability of which has been demonstrated by various researchers in foregoing work. In the Riemannian framework bundles of axons are represented by geodesies on the manifold. Here we do not discuss methods to compute these geodesies, nor do we rely on the availability of geodesies. Instead we propose local measures which are directly computable from the local DTI data, and which enable us to preselect viable or exclude uninteresting seed points for the potentially time consuming extraction of geodesies. If geodesies are available, our measures can be readily applied to these as well. We consider two types of geodesic measures. One pertains to the connectivity saliency of a geodesic, the second to its stability with respect to local spatial perturbations. For the first type of measure we consider both differential as well as integral measures for characterizing a geodesic's saliency either locally or globally. (In the latter case one needs to be in possession of the geodesic curve, in the former case a single tangent vector suffices.) The second type of measure is intrinsically local, and turns out to be related to a well known tensor in Riemannian geometry.

Original languageEnglish
Title of host publicationInformation Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings
EditorsN. Karssemeijer, B. Lelieveldt
Place of PublicationBerlin
PublisherSpringer
Pages642-649
Number of pages8
ISBN (Electronic)978-3-540-73273-0
ISBN (Print)978-3-540-73272-3
DOIs
Publication statusPublished - 1 Dec 2007
Event20th International Conference on Information Processing in Medical lmaging (IPMI 2007) - Kerkrade, Netherlands
Duration: 2 Jul 20076 Jul 2007
Conference number: 20

Publication series

NameLecture Notes in Computer Science
Volume4584
ISSN (Print)0302-9743

Conference

Conference20th International Conference on Information Processing in Medical lmaging (IPMI 2007)
Abbreviated titleIPMI 2007
Country/TerritoryNetherlands
CityKerkrade
Period2/07/076/07/07

Keywords

  • Brain white matter connectivity
  • DTI
  • Geodesic deviation
  • Geodesies
  • Ricci tensor
  • Riemann tensor

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