A Comparison of Image Reconstruction Techniques for Electrical Resistance Tomography

Electrical Resistance Tomography의 영상복원 기법의 비교

  • 김호찬 (제주대학교 전기전자공학부) ;
  • 부창진 (제주대학교 전기전자공학부) ;
  • 이윤준 (제주대학교 전기전자공학부)
  • Published : 2005.05.01


Electrical resistance tomography(ERT) maps resistivity values of the soil subsurface and characterizes buried objects. The characterization includes location, size and resistivity of buried objects. In this paper, Gauss-Newton, truncated least squares(TLS) and simultaneous iterative reconstruction technique(SIRT) methods are presented for the solution of the ERT image reconstruction. Computer simulations show that the spatial resolution of the reconstructed images by the TLS approach is improved as compared to those obtained by the Gauss-Newton and SIRT method.


  1. Y. Sasaki, 'Resolution of resistivity tomography inferred from numerical simulation,' Geophysical Prospecting, Vol. 57, pp. 1270-1281, 1992
  2. D.W. Oldenberg and Y. Li, 'Estimating of investigation in DC resistivity and IP survey,' Geophysics, Vol. 64, No. 2, pp. 403-416 1999
  3. M.H. Loke, and T. Dahlin, 'A comparison of the Gauss-Newton and quasi-Newton methods in resistivity imaging inversion,' Journal of Applied Geophysics, Vol. 49, pp. 149-162, 2002
  4. C.R. Vogel, Computational methods for inverse problems, Society for Industrial and Applied Mathematics 2002
  5. A.C. Tripp, G.W. Hohmann, and C.M. Swift Jr., 'Two-dimensional resistivity inversion,' Geophysics, Vol. 49, pp. 1708-1717, 1984
  6. L.R. Lines and S. Treitel, 'Tutorial : A review of least squares inversion and its application to geophysical problems,' Geophysical Prospecting, Vol. 32, pp. 159-186, 1984
  7. T. Yoshinaga, 'A fast convergence method with simultaneous iterative reconstruction technique for computerized tomography,' Int. J. Imag. Syst. and Technol., Vol. 10, No. 6, pp. 432-436, 1999<432::AID-IMA4>3.0.CO;2-I
  8. A. Tarantola and B. Valette, 'Generalized nonlinear inverse problems solved using least squares criterion,' Rev. Geophys. Space Phys., Vol. 20, pp. 219-232, 1982
  9. I. Brunner, S. Friedel, F. Jacobs, and E. Danckwardt, 'Investigation of a Tertiary maar structure using three-dimensional resistivity imaging,' Geophys. J. Int., Vol. 136, pp. 771-780, 1999
  10. G.A. Kyriacou, C.S. Koukourlis, J.N. Sahalos, and K. Batas, 'Reconstruction of impedance images using a modified perturbation method,' Clin. Physiol. Meas., Vol. 13, pp. 91-94, 1992