Riemann-DTI Geodesic Tractography Revisited

Luc Florack, H.J.C.E. (Rick) Sengers, Stephan Meesters, Lars Smolders, Andrea Fuster

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)


Clinical tractography is a challenging problem in diffusion tensor imaging (DTI) due to persistent validation issues. Geodesic tractography, based on a shortest path principle, is conceptually appealing, but has not produced convincing results so far. A major weakness is its rigidity with respect to candidate tracts it is capable of producing given a pair of endpoints, showing a tendency to produce false positives (such as shortcuts) and false negatives (e.g. if a shortcut supplants the correct solution). We propose a new geodesic paradigm that appears to overcome these problems, making a step towards semi-automatic clinical use. To this end we couple the DTI tensor field to a family of Riemannian metrics, governed by control parameters. In practice these parameters may allow for edits by an expert through manual selection among multiple tract suggestions, or for bringing in a priori knowledge. In this paper, however, we consider an automatic, evidence-driven procedure to determine optimal controls and corresponding tentative tracts, and illustrate the role of edits to remediate erroneous defaults.

Original languageEnglish
Title of host publicationAnisotropy Across Fields and Scales
EditorsEvren Özarslan, Thomas Schultz, Eugene Zhang, Andrea Fuster
Place of PublicationCham
Number of pages19
ISBN (Electronic)978-3-030-56215-1
ISBN (Print)978-3-030-56214-4
Publication statusPublished - 2021
EventWorkshop on Visualization and Processing of Anisotropy in Imaging, Geometry, and Astronomy, 2018 - Dagstuhl, Germany
Duration: 28 Oct 20182 Nov 2018

Publication series

NameMathematics and Visualization
PublisherSpringer Verlag
ISSN (Print)1612-3786
ISSN (Electronic)2197-666X


ConferenceWorkshop on Visualization and Processing of Anisotropy in Imaging, Geometry, and Astronomy, 2018


  • Diffusion Tensor Imaging
  • Geodesic Tractography


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