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Journal of Applied Mathematics - Volume 2014 2014, Article ID 285367, 11 pages -

Research Article

Department of Biomedical Engineering, Yonsei University, Wonju 220-710, Republic of Korea

Department of Radiological Science, Yonsei University, Wonju 220-710, Republic of Korea

Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea

Received 21 March 2014; Accepted 7 May 2014; Published 7 July 2014

Academic Editor: Chang-Hwan Im

Copyright © 2014 Soondong Kwon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


DT-MRI diffusion tensor magnetic resonance imaging tractography is a method to determine the architecture of axonal fibers in the central nervous system by computing the direction of the principal eigenvectors obtained from tensor matrix, which is different from the conventional isotropic MRI. Tractography based on DT-MRI is known to need many computations and is highly sensitive to noise. Hence, adequate regularization methods, such as image processing techniques, are in demand. Among many regularization methods we are interested in the median filtering method. In this paper, we extended two-dimensional median filters already developed to three-dimensional median filters. We compared four median filtering methods which are two-dimensional simple median method SM2D, two-dimensional successive Fermat method SF2D, three-dimensional simple median method SM3D, and three-dimensional successive Fermat method SF3D. Three kinds of synthetic data with different altitude angles from axial slices and one kind of human data from MR scanner are considered for numerical implementation by the four filtering methods.

Autor: Soondong Kwon, Dongyoun Kim, Bongsoo Han, and Kiwoon Kwon



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