Journal of IKEEE (전기전자학회논문지)

Institute of Korean Electrical and Electronics Engineers (한국전기전자학회)
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Regularized Modified Newton-Raphson Algorithm for Electrical Impedance Tomography Based on the Exponentially Weighted Least Square Criterion

전기 임피던스 단층촬영을 위한 지수적으로 가중된 최소자승법을 이용한 수정된 조정 Newton-Raphson 알고리즘

  • Kim, Kyung-Youn (School of Electrical & Electronic Engineering, College of Engineering, Cheju National Univ.) ;
  • Kim, Bong-Seok (School of Electrical & Electronic Engineering, College of Engineering, Cheju National Univ.)
  • 김경연 (제주대학교 공과대학 전기전자공학부) ;
  • 김봉석 (제주대학교 공과대학 전기전자공학부)
  • Published : 2000.12.01
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Abstract

In EIT(electrical impedance tomography), the internal resistivity(or conductivity) distribution of the unknown object is estimated using the boundary voltage data induced by different current patterns using various reconstruction algorithms. In this paper, we present a regularized modified Newton-Raphson(mNR) scheme which employs additional a priori information in the cost functional as soft constraint and the weighting matrices in the cost functional are selected based on the exponentially weighted least square criterion. The computer simulation for the 32 channels synthetic data shows that the reconstruction performance of the proposed scheme is improved compared to that of the conventional regularized mNR at the expense of slightly increased computational burden.

전기 임피던스 단층촬영에서는, 각기 다른 주입 전류패턴에 의해 유기된 경계면의 전압 값을 이용하여 다양한 복원 알고리즘에 의해 물체의 내부 저항률(전도율) 분포를 추정한다. 본 논문에서는, 부가적인 사전 정보를 soft 제약조건으로 비용함수에 추가하고, 비용함수의 가중행렬을 지수적으로 가중된 최소자승법에 근거하여 선택하는 수정된 조정 Newton-Raphson(mNR) 법을 제안한다. 32채널에 대한 컴퓨터 시뮬레이션 결과, 제안된 방법은 기존의 조정 mNR 법에 비해 계산부담은 약간 증가하지만 복원성능이 개선됨을 보인다.

Keywords

References

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