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)

Abstract

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 - The International Society for Optical Engineering
Volume8294
DOIs
Publication statusPublished - 2012
EventVisualization and Data Analysis 2012 - Burlingame, CA, United States
Duration: 2012 Jan 232012 Jan 25

Other

OtherVisualization and Data Analysis 2012
CountryUnited States
CityBurlingame, CA
Period12/1/2312/1/25

Fingerprint

Degeneracy
Tensors
interpolation
Interpolation
Tensor
Interpolate
tensors
Biological Tissue
Fiber Bundle
Medical Imaging
Minimum Spanning Tree
Medical imaging
Physical property
Clustering algorithms
Inconsistency
bundles
Clustering Algorithm
brain
Anisotropy
Brain

Keywords

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

ASJC Scopus subject areas

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

Cite this

Bi, C., Takahashi, S., & Fujishiro, I. (2012). Degeneracy-aware interpolation of 3D diffusion tensor fields. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 8294). [829411] https://doi.org/10.1117/12.908117

Degeneracy-aware interpolation of 3D diffusion tensor fields. / Bi, Chongke; Takahashi, Shigeo; Fujishiro, Issei.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8294 2012. 829411.

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

Bi, C, Takahashi, S & Fujishiro, I 2012, Degeneracy-aware interpolation of 3D diffusion tensor fields. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 8294, 829411, Visualization and Data Analysis 2012, Burlingame, CA, United States, 12/1/23. https://doi.org/10.1117/12.908117
Bi C, Takahashi S, Fujishiro I. Degeneracy-aware interpolation of 3D diffusion tensor fields. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8294. 2012. 829411 https://doi.org/10.1117/12.908117
Bi, Chongke ; Takahashi, Shigeo ; Fujishiro, Issei. / Degeneracy-aware interpolation of 3D diffusion tensor fields. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 8294 2012.
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