ML Anthology

Regularization of Diffusion Tensor Field Using Coupled Robust Anisotropic Diffusion Filters

Songyuan Tang, Yong Fan, Hongtu Zhu, Pew-Thian Yap, Wei Gao, Weili Lin, Dinggang Shen
CVPRW 2009 pp. 52-57
doi:10.1109/CVPRW.2009.5204342 /cvprw/2009/tang2009cvprw-regularization/

Abstract

This paper presents a method to simultaneously regularize diffusion weighted images and their estimated diffusion tensors, with the goal of suppressing noise and restoring tensor information. We enforce a data fidelity constraint, using coupled robust anisotropic diffusion filters, to ensure consistency of the restored diffusion tensors with the regularized diffusion weighted images. The filters are designed to take advantage of robust statistics and to be adopted to the anisotropic nature of diffusion tensors, which can effectively keep boundaries between piecewise constant regions in the tensor volume and also the diffusion weighted images during the regularized process. To facilitate Euclidean operations on the diffusion tensors, log-Euclidean metrics are adopted when performing the filtering. Experimental results on simulated and real image data demonstrate the effectiveness of the proposed method.

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Cite

Text

Tang et al. "Regularization of Diffusion Tensor Field Using Coupled Robust Anisotropic Diffusion Filters." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2009. doi:10.1109/CVPRW.2009.5204342

Markdown

[Tang et al. "Regularization of Diffusion Tensor Field Using Coupled Robust Anisotropic Diffusion Filters." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2009.](https://mlanthology.org/cvprw/2009/tang2009cvprw-regularization/) doi:10.1109/CVPRW.2009.5204342

BibTeX

@inproceedings{tang2009cvprw-regularization,
  title     = {{Regularization of Diffusion Tensor Field Using Coupled Robust Anisotropic Diffusion Filters}},
  author    = {Tang, Songyuan and Fan, Yong and Zhu, Hongtu and Yap, Pew-Thian and Gao, Wei and Lin, Weili and Shen, Dinggang},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  year      = {2009},
  pages     = {52-57},
  doi       = {10.1109/CVPRW.2009.5204342},
  url       = {https://mlanthology.org/cvprw/2009/tang2009cvprw-regularization/}
}