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Article

An MR-Based Viscosity-Type Regularization Method for Electrical Property Tomography

1
School of Electronics and Information, Northwestern Polytechnical University, China
2
Center for Frontier Medical Engineering, Chiba University, Japan
3
Medical Group, Engineering Product Development, Singapore University of Technology and Design, Singapore
*
Author to whom correspondence should be addressed.
Tomography 2017, 3(1), 50-59; https://doi.org/10.18383/j.tom.2016.00283
Received: 9 December 2016 / Revised: 3 January 2017 / Accepted: 9 February 2017 / Published: 1 March 2017
Here, a method based on viscosity-type regularization is proposed for magnetic resonance electrical property tomography (MREPT) to mitigate persistent artifacts when it is used to reconstruct a map of electrical properties based on data from a magnetic resonance imaging scanner. The challenges for solving the corresponding partial differential equation (PDE) are discussed in detail. The existing artifacts in the numerical results are pointed out and classified. The methods in the literature for MREPT are mainly based on an assumption of local homogeneity, which makes the approach simple but leads to artifacts in the transition region where electrical properties vary rapidly. Recent work has focused on eliminating the assumption of local homogeneity, and one of the solutions is convection–reaction MREPT that is based on a first-order PDE. Numerical solutions of the PDE have persistent artifacts in certain regions and global spurious oscillations. Here, a method based on viscosity-type regularization is proposed to effectively mitigate the aforementioned problems. Finite difference method is used for discretizing the governing PDE. Numerical experiments are presented to analyze the problem in detail. Electrical properties of different phantoms are successfully retrieved. The efficiency, accuracy, and noise tolerance of the proposed method are illustrated with numerical results.
Keywords: magnetic resonance; electrical property tomography; magnetic resonance safety; radio frequency field; partial differential equation; inverse problem magnetic resonance; electrical property tomography; magnetic resonance safety; radio frequency field; partial differential equation; inverse problem
MDPI and ACS Style

Li, C.; Yu, W.; Huang, S.Y. An MR-Based Viscosity-Type Regularization Method for Electrical Property Tomography. Tomography 2017, 3, 50-59. https://doi.org/10.18383/j.tom.2016.00283

AMA Style

Li C, Yu W, Huang SY. An MR-Based Viscosity-Type Regularization Method for Electrical Property Tomography. Tomography. 2017; 3(1):50-59. https://doi.org/10.18383/j.tom.2016.00283

Chicago/Turabian Style

Li, Changyou, Wenwei Yu, and Shao Ying Huang. 2017. "An MR-Based Viscosity-Type Regularization Method for Electrical Property Tomography" Tomography 3, no. 1: 50-59. https://doi.org/10.18383/j.tom.2016.00283

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