High-contrast impedance tomography

被引:36
作者
Borcea, L
Berryman, JG
Papanicolaou, GC
机构
[1] LAWRENCE LIVERMORE NATL LAB, DIV EARTH SCI, LIVERMORE, CA 94551 USA
[2] STANFORD UNIV, DEPT MATH, STANFORD, CA 94305 USA
关键词
D O I
10.1088/0266-5611/12/6/003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce an output least-squares method for impedance tomography problems that have regions of high conductivity surrounded by regions of lower conductivity. The high conductivity is modelled on network approximation results from an asymptotic analysis and its recovery is based on this model. The smoothly varying part of the conductivity is recovered by a linearization process as is usual. We present the results of several numerical experiments that illustrate the performance of the method.
引用
收藏
页码:835 / 858
页数:24
相关论文
共 47 条
  • [1] Alessandrini G., 1988, Appl. Anal., V27, P153, DOI [10.1080/00036818808839730, DOI 10.1080/00036818808839730]
  • [2] STABILITY AND RESOLUTION ANALYSIS OF A LINEARIZED PROBLEM IN ELECTRICAL-IMPEDANCE TOMOGRAPHY
    ALLERS, A
    SANTOSA, F
    [J]. INVERSE PROBLEMS, 1991, 7 (04) : 515 - 533
  • [3] ELECTROMAGNETIC CONDUCTIVITY IMAGING WITH AN ITERATIVE BORN INVERSION
    ALUMBAUGH, DL
    MORRISON, HF
    [J]. IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 1993, 31 (04): : 758 - 763
  • [4] MONITORING SUBSURFACE CHANGES OVER TIME WITH CROSS-WELL ELECTROMAGNETIC TOMOGRAPHY
    ALUMBAUGH, DL
    MORRISON, HF
    [J]. GEOPHYSICAL PROSPECTING, 1995, 43 (07) : 873 - 902
  • [5] [Anonymous], 1976, METHODES RESOLUTION
  • [6] [Anonymous], 1994, HOMOGENIZATION DIFFE
  • [7] BANK E, 1990, PLTMG SOFTWARE PACKA
  • [8] BANKS T, 1989, ESTIMATION TECHNIQUE
  • [9] Barber D. C., 1986, Inf. Process. Med. Imaging, P106, DOI [10.1007/978-94-009-4261-5_9, DOI 10.1007/978-94-009-4261-5_9]
  • [10] Bensoussan A., 1978, ASYMPTOTIC ANAL PERI