Degeneracy-aware interpolation of 3D diffusion tensor fields

Chongke Bi, Shigeo Takahashi, Issei Fujishiro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


Visual analysis of 3D diffusion tensor fields has become an important topic especially in medical imaging for understanding microscopic structures and physical properties of biological tissues. However, it is still difficult to continuously track the underlying features from discrete tensor samples, due to the absence of appropriate interpolation schemes in the sense that we are able to handle possible degeneracy while fully respecting the smooth transition of tensor anisotropic features. This is because the degeneracy may cause rotational inconsistency of tensor anisotropy. This paper presents such an approach to interpolating 3D diffusion tensor fields. The primary idea behind our approach is to resolve the possible degeneracy through optimizing the rotational transformation between a pair of neighboring tensors by analyzing their associated eigenstructure, while the degeneracy can be identified by applying a minimum spanning tree-based clustering algorithm to the original tensor samples. Comparisons with existing interpolation schemes will be provided to demonstrate the advantages of our scheme, together with several results of tracking white matter fiber bundles in a human brain.

Original languageEnglish
Title of host publicationProceedings of SPIE-IS and T Electronic Imaging - Visualization and Data Analysis 2012
Publication statusPublished - 2012
EventVisualization and Data Analysis 2012 - Burlingame, CA, United States
Duration: 2012 Jan 232012 Jan 25

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherVisualization and Data Analysis 2012
Country/TerritoryUnited States
CityBurlingame, CA


  • Degeneracy
  • Diffusion tensor fields
  • Eigenvalues and eigenvectors
  • Interpolation
  • Minimum spanning trees

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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