Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic

Chang-Il SON; Shun-ren XIA

doi:10.1631/jzus.C1100098

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Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic

Computer & Automation | Updated：2022-12-09

- Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic
- Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic
- Frontiers of Information Technology & Electronic Engineering Vol. 13, Issue 2, Pages: 90-98(2012)
- Affiliations：
  
  1.MOE Key Laboratory of Biomedical Engineering, Zhejiang University, Hangzhou 310027, China
  2.Department of Electronics, Kim Chaek University of Technology, Pyongyang 104919, DPR of Korea
- Author bio：
  
  Shun-ren XIA, E-mail: srxia@zju.edu.cn
- Funds：
- DOI：10.1631/jzus.C1100098
  CLC： TP391.41
- Received：17 April 2011，
  
  Revised：2011-12-29，
  
  Published：2012-02
- Accepted：
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Chang-Il SON, Shun-ren XIA. Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic[J]. Frontiers of Information Technology & Electronic Engineering, 2012, 13(2): 90-98.
DOI：

Chang-Il SON, Shun-ren XIA. Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic[J]. Frontiers of Information Technology & Electronic Engineering, 2012, 13(2): 90-98. DOI： 10.1631/jzus.C1100098.

摘要

Abstract

Tensor interpolation is a key step in the processing algorithms of diffusion tensor imaging (DTI)

such as registration and tractography. The diffusion tensor (DT) in biological tissues is assumed to be positive definite. However

the tensor interpolations in most clinical applications have used a Euclidian scheme that does not take this assumption into account. Several Riemannian schemes were developed to overcome this limitation. Although each of the Riemannian schemes uses different metrics

they all result in a 'fixed' interpolation profile that cannot adapt to a variety of diffusion patterns in biological tissues. In this paper

we propose a DT interpolation scheme to control the interpolation profile

and explore its feasibility in clinical applications. The profile controllability comes from the non-uniform motion of interpolation on the Riemannian geodesic. The interpolation experiment with medical DTI data shows that the profile control improves the interpolation quality by assessing the reconstruction errors with the determinant error

Euclidean norm

and Riemannian norm.

关键词

Keywords

references

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