Skip to main content
Log in

Application of expectation maximization algorithm in magnetic induction tomography

  • Original Article
  • Published:
Biomedical Engineering Letters Aims and scope Submit manuscript

Abstract

Purpose

The aim of this paper is to investigate the image reconstruction problem by using expectation maximization (EM) algorithm to enhance the quality of magnetic induction tomography (MIT).

Methods

The EM algorithm is used to solve the image reconstruction problem. It is based on the maximum likelihood criterion, and the voltage data and the sensitivity matrix are considered as the incomplete-data. Within the incompletedata framework of the EM algorithm, the image reconstruction can be converted to the problem of EM through the likelihood function.

Results

Simulation experiments are conducted and show that the proposed method has better quality of image than the Tikhonov regulation method and iteration Newton-Raphson (INR) algorithm have.

Conclusions

From the experimental results and comparative studies, we can infer the scheme applied in MIT can improve the quality of image.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Soleimani M. Image and shape reconstruction methods in magnetic induction and electrical impedance tomography. PhD Dissertation, England, University of Manchester. 2005; 85–96, 126–48.

    Google Scholar 

  2. Korjenevsky A, Cherepenin V, Sapetsky S. Magnetic induction tomography: experimental realization. Physiol Meas. 2000; 21(1):89–94.

    Article  Google Scholar 

  3. Yang WQ, Spink DM, York TA, McCann H. An image reconstruction algorithm based on Landweber’s iteration method for electrical capacitance tomography. Meas Sci Technol. 1999; 10(11): 1065–9.

    Article  Google Scholar 

  4. Zolgharni M, Ledger PD, Armitage DW, Holder DS, Griffiths H. Imaging cerebral haemorrhage with magnetic induction tomography: numerical modelling. Physiol Meas. 2009; 30(6): S187–200.

    Article  Google Scholar 

  5. Soleimani M. Simultaneous reconstruction of permeability and conductivity in magnetic induction tomography. J Electromagnet Wave. 2009; 23(5–6):785–98.

    Article  Google Scholar 

  6. Mamatjan Y. Imaging of hemorrhagic stroke in magnetic induction tomography: an in vitro study. Int J Imag Syst Tech. 2014; 24(2):161–6.

    Article  Google Scholar 

  7. Ma L, Hunt A, Soleimani M. Experimental evaluation of conductive flow imaging using magnetic induction tomography. Int J Multiphas Flow. 2015; 72:198–209.

    Article  Google Scholar 

  8. Moon TK. The expectation-maximization algorithm. IEEE Signal Proc Mag. 1996; 13(6):47–60.

    Article  Google Scholar 

  9. Zhang Y, Brady M, Smith S. Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm. IEEE T Med Imaging. 2001; 20(1):45–57.

    Article  Google Scholar 

  10. Merwa R, Hollaus K, Scharfetter H. Numerical solution of the general 3D eddy current problem for magnetic induction tomography (spectroscopy). Physiol Meas. 2003; 24(2):545–54.

    Article  Google Scholar 

  11. Barletta E, Dragomir S. Propagation of singularities along characteristics of Maxwell’s equations. Phys Scripta. 2014; 89(6):1–13.

    Article  Google Scholar 

  12. Zolgharni M, Ledger PD, Griffiths H. Forward modelling of magnetic induction tomography: a sensitivity study for detecting haemorrhagic cerebral stroke. Med Biol Eng Comput. 2009; 47(12):1301–13.

    Article  Google Scholar 

  13. Zolgharni M. Magnetic induction tomography for imaging cerebral Stroke. England, PhD Dissertation, Swansea University. 2010; 142–96.

    Google Scholar 

  14. Merwa R, Hollaus K, Brunner P, Scharfetter H. Solution of the inverse problem of magnetic induction tomography (MIT). Physiol Meas. 2005; 26(2):S241–50.

    Article  Google Scholar 

  15. Kindermann S. Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Electron Trans Numer Ana. 2011; 38:233–57.

    MATH  MathSciNet  Google Scholar 

  16. Mariappan L, Hu G, He B. Magnetoacoustic tomography with magnetic induction for high-resolution bioimepedance imaging through vector source reconstruction under the static field of MRI magnet. Med Phys. 2014; 41(2):022902–1–11.

    Article  Google Scholar 

  17. McLachlan G, Krishnan T. The EM algorithm and extensions. 2nd ed. John Wiley & Sons; 2007.

    Google Scholar 

  18. Dempster AP, Laird NM, Rubin DB. Maximum likelihood from incomplete data via the EM algorithm. J Roy Stat Soc B Met. 1977; 39(1):1–38.

    MATH  MathSciNet  Google Scholar 

  19. Liu Y, Nie Z, Zhao Z, Liu QH. Generalization of iterative Fourier interpolation algorithms for single frequency estimation. Digit Signal Process. 2011; 21(1):141–9.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Min Han.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Han, M., Xue, Y. Application of expectation maximization algorithm in magnetic induction tomography. Biomed. Eng. Lett. 5, 221–228 (2015). https://doi.org/10.1007/s13534-015-0192-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13534-015-0192-0

Keywords

Navigation