DOI QR코드

DOI QR Code

Development of Novel on-line Landweber Algorithm for Image Reconstruction in Electrical Impedance Tomography

전기 임피던스 단층촬영법에서 영상 복원을 위한 새로운 on-line Landweber 알고리즘 개발

  • Kim, Bong Seok (Institute for Nuclear Science and Technology, Jeju National University) ;
  • Kim, Sin (Department of Nuclear and Energy Engineering, Jeju National University) ;
  • Kim, Kyung Youn (Department of Electronic Engineering, Jeju National University)
  • 김봉석 (제주대학교 원자력과학기술연구소) ;
  • 김신 (제주대학교 에너지공학과) ;
  • 김경연 (제주대학교 전자공학과)
  • Received : 2012.05.18
  • Published : 2012.09.25

Abstract

Electrical impedance tomography is an imaging modality for determining the electrical properties inside a domain. Small currents are injected and the resulting voltages are measured through the electrodes. The internal electrical properties are reconstructed based on these voltage and current data. In this paper, a novel on-line Landweber algorithm was developed to fast estimate the resistivity distribution in the inverse calculation. Additionally, to enhance the reconstruction performance, a step-length was computed from the eigenvalue of the weighting matrix. The numerical experiments have been performed to evaluate the reconstruction performance of the proposed method.

전기 임피던스 단층촬영법은 대상체의 표면에 부착된 전극들을 통해 전류를 주입하고 전압을 측정함으로써, 내부의 도전율 또는 저항률 분포를 추정하고 영상으로 복원하는 비교적 새로운 영상 복원 기법이다. 이 논문에서는 on-line에서 한 번의 연산으로도 표적의 정확한 위치 정보와 복원의 정확도를 향상시킬 수 있는 새로운 역문제 알고리즘을 개발하였다. 그리고 제안한 방법의 복원 성능을 향상시키기 위해 가중 행렬의 고유치로부터 step-length를 계산하였다. 몇 가지 시나리오를 설정하고 모의실험을 통해 제안한 방법의 영상 복원의 성능을 평가하였다.

Keywords

References

  1. J. G. Webster, Electrical Impedance Tomography, IOP Publishing Ltd, 1990.
  2. D. S. Holder, Electrical Impedance Tomography: Methods, History and Applications, IOP Publishing Ltd, 2005.
  3. Y. Zou and Z. Guo, "A review of electrical impedance techniques for breast cancer detection," Med. Eng. Phys., Vol. 25, No. 2, pp. 79-90, March 2003. https://doi.org/10.1016/S1350-4533(02)00194-7
  4. 김경연, 김봉석, 강숙인, 김민찬, 이정훈, 이윤준, "조정 확장 칼만 필터를 이용한 동적 전기 임피던스 단층촬영법," 전자공학회논문지, 제38권, SC편, 제5호, 23-32쪽, 2001년 9월.
  5. D. C. Barber and B. H. Brown, "Progress in electrical impedance tomography," Inverse Problems in Partial Differential Equations, SIAM, Chapter 10, pp. 151-163, 1990.
  6. M. Cheney, D. Isaacson, J. C. Newell, S. Simske and J. Goble, "NOSER: An algorithm for solving the inverse conductivity problem," Int. J. Imaging Syst. Technol., Vol. 2, No. 2, pp. 66-75, 1990. https://doi.org/10.1002/ima.1850020203
  7. J. L. Mueller, D. Isaacson and J. C. Newell, "A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays," IEEE Trans. Biomed. Eng., Vol. 46, No. 11, pp. 1379-1386, November 1999. https://doi.org/10.1109/10.797998
  8. W. Q. Yang and L. Peng, "Image reconstruction algorithm for electrical capacitance tomography," Meas. Sci. Technol., Vol. 14, No. 1, pp. 1-13, January 2003. https://doi.org/10.1088/0957-0233/14/1/301
  9. M. Vauhkonen, Electrical impedance tomography and prior information, Ph.D. Thesis, University of Kuopio, Finland, 1997.
  10. J. H. Kim, B. Y. Choi, U. Z. Ijaz, B. S. Kim, S. Kim and K. Y. Kim, "Directional algebraic reconstruction technique for electrical impedance tomography," J. Korean Phys. Soc., Vol. 54, No. 4, pp. 1439-1447, April 2009. https://doi.org/10.3938/jkps.54.1439
  11. 김봉석, 김지훈, 김신, 김경연, "전기 임피던스 단층촬영법에서 수정된 반복 Landweber 방법을 이용한 영상 복원," 전자공학회논문지, 제49권, SC편, 제4호, 36-44쪽, 2012년 7월.
  12. W. Q. Yang, D. M. Spink, T. A. York and H. McCann, "An image-reconstruction algorithm based on Landweber's iteration method for electrical-capacitance tomography," Meas. Sci. Technol., Vol. 10, No. 11, pp. 1065-1069, November 1999. https://doi.org/10.1088/0957-0233/10/11/315
  13. J. D. Jang, S. H. Lee, K. Y. Kim and B. Y. Choi, "Modified iterative Landweber method in electrical capacitance tomography," Meas. Sci. Technol., Vol. 17, No. 7, pp. 1909-1917, July 2006. https://doi.org/10.1088/0957-0233/17/7/032