Interpolating 3D diffusion tensors in 2D planar domain by locating degenerate lines

Chongke Bi, Shigeo Takahashi, Issei Fujishiro

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

6 Citations (Scopus)


Interpolating diffusion tensor fields is a key technique to visualize the continuous behaviors of biological tissues such as nerves and muscle fibers. However, this has been still a challenging task due to the difficulty to handle possible degeneracy, which means the rotational inconsistency caused by degenerate points. This paper presents an approach to interpolating 3D diffusion tensors in 2D planar domains by aggressively locating the possible degeneracy while fully respecting the underlying transition of tensor anisotropy. The primary idea behind this approach is to identify the degeneracy using minimum spanning tree-based clustering algorithm, and resolve the degeneracy by optimizing the associated rotational transformations. Degenerate lines are generated in this process to retain the smooth transitions of anisotropic features. Comparisons with existing interpolation schemes will be also provided to demonstrate the technical advantages of the proposed approach.

Original languageEnglish
Title of host publicationAdvances in Visual Computing - 6th International Symposium, ISVC 2010, Proceedings
Number of pages10
EditionPART 1
Publication statusPublished - 2010
Event6th International, Symposium on Visual Computing, ISVC 2010 - Las Vegas, NV, United States
Duration: 2010 Nov 292010 Dec 1

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume6453 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other6th International, Symposium on Visual Computing, ISVC 2010
Country/TerritoryUnited States
CityLas Vegas, NV

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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