Journal of Mathematical Imaging and Vision

, Volume 49, Issue 2, pp 317–334 | Cite as

DTI Segmentation and Fiber Tracking Using Metrics on Multivariate Normal Distributions

  • Minyeon Han
  • F. C. Park


Existing clustering-based methods for segmentation and fiber tracking of diffusion tensor magnetic resonance images (DT-MRI) are based on a formulation of a similarity measure between diffusion tensors, or measures that combine translational and diffusion tensor distances in some ad hoc way. In this paper we propose to use the Fisher information-based geodesic distance on the space of multivariate normal distributions as an intrinsic distance metric. An efficient and numerically robust shooting method is developed for computing the minimum geodesic distance between two normal distributions, together with an efficient graph-clustering algorithm for segmentation. Extensive experimental results involving both synthetic data and real DT-MRI images demonstrate that in many cases our method leads to more accurate and intuitively plausible segmentation results vis-à-vis existing methods.


Magnetic resonance imaging Diffusion tensor Image segmentation Fiber Tracking Multivariate normal distribution Riemannian geometry 



This research was supported in part by the Center for Advanced Intelligent Manipulation, the Biomimetic Robotics Research Center, the BK21+ program at SNU-MAE, and SNU-IAMD.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Robotics LaboratorySeoul National UniversitySeoulKorea

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