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A Study on the Dyadic Sorting method for the Regularization in DT-MRI  

Kim, Tae-Hwan (Department of Biomedica1 Engineering, Yonsei Univ.)
Woo, Jong-Hyung (Department of Biomedica1 Engineering, Yonsei Univ.)
Lee, Hoon (Department of Biomedica1 Engineering, Yonsei Univ.)
Kim, Dong-Youn (Department of Biomedica1 Engineering, Yonsei Univ.)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.47, no.4, 2010 , pp. 30-39 More about this Journal
Abstract
Since Diffusion tensor from Diffusion Tensor Magnetic Resonance Imaging(DT-MRI) is so sensitive to noise, the principle eigenvector(PEV) calculated from Diffusion tensor could be erroneous. Tractography obtained from PEV could be deviated from the real fiber tract. Therefore regularization process is needed to eliminate noise. In this paper, to reduce noise in DT-MRI measurements, the Dyadic Sorting(DS) method as regularization of the eigenvalue and the eigenvector is applied in the tractography. To resort the eigenvalues and the eignevectors, the DS method uses the intervoxel overlap function which can measure the overlap between eigenvalue-eigenvector pairs in the $3\times3$ pixel. In this paper, we applied the DS method to the three-dimensional volume. We discuss the error analysis and numerical study to the synthetic and the experimental data. As a result, we have shown that the DS method is more efficient than the median filtering methods as much as 79.97%~83.64%, 85.62%~87.76% in AAE, AFA respectively for the corticospinal tract of the experimental data.
Keywords
DT-MRI; Regularization; Dyadic Sorting;
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