Non-iterative harmonic Bz algorithm in MREIT

Jin Keun Seo, Kiwan Jeon, Chang Ock Lee, Eung Je Woo

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The goal of magnetic resonance electrical impedance tomography (MREIT) is to produce a tomographic image of a conductivity distribution inside an electrically conducting object. Injecting current into the object, we measure a z-component Bz of an induced magnetic flux density using an MRI scanner. Based on the relation between the conductivity and measured B z data, we may reconstruct cross-sectional images of the conductivity distribution. In a two-dimensional imaging slice, we can see that conductivity changes along equipotential lines are determined by the measured Bz data. Since the equipotential lines themselves depend nonlinearly on the unknown conductivity distribution, it is not possible to recover the conductivity distribution directly from measured Bz data. Conductivity image reconstruction algorithms such as the harmonic Bz algorithm utilize an iterative procedure to update conductivity values and in each iteration we need to solve an elliptic boundary value problem with a presumed conductivity distribution. This iteration is often troublesome in practice due to excessive amounts of noise in some local regions where weak MR signals are produced. This motivated us to develop a non-iterative reconstruction algorithm which does not depend on a global structure of the conductivity distribution. In this paper, we propose a new MREIT conductivity image reconstruction algorithm, called the non-iterative harmonic Bz algorithm, which provides a conductivity image directly from measured Bz data. From numerical simulations, we found that the new method produces absolute images of a conductivity distribution with a high accuracy by maximizing the use of reliable B z data. It effectively reduces adverse effects of excessive noise in some local regions of weak MR signals by restricting the influences within them.

Original languageEnglish
Article number085003
JournalInverse Problems
Volume27
Issue number8
DOIs
Publication statusPublished - 2011 Aug 12

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Electrical Impedance Tomography
Acoustic impedance
Magnetic Resonance
Magnetic resonance
Conductivity
Tomography
Harmonic
Image reconstruction
Reconstruction Algorithm
Magnetic flux
Magnetic resonance imaging
Boundary value problems
Image Reconstruction
Imaging techniques
Computer simulation
Iteration
Line
Elliptic Boundary Value Problems
Iterative Procedure
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All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Science Applications
  • Applied Mathematics
  • Mathematical Physics
  • Theoretical Computer Science

Cite this

Seo, Jin Keun ; Jeon, Kiwan ; Lee, Chang Ock ; Woo, Eung Je. / Non-iterative harmonic Bz algorithm in MREIT. In: Inverse Problems. 2011 ; Vol. 27, No. 8.
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Non-iterative harmonic Bz algorithm in MREIT. / Seo, Jin Keun; Jeon, Kiwan; Lee, Chang Ock; Woo, Eung Je.

In: Inverse Problems, Vol. 27, No. 8, 085003, 12.08.2011.

Research output: Contribution to journalArticle

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