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A level set method to reconstruct the discontinuity of the conductivity in EIT 被引量:6

A level set method to reconstruct the discontinuity of the conductivity in EIT
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摘要 In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is effcient and stable. In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is efficient and stable.
出处 《Science China Mathematics》 SCIE 2009年第1期29-44,共16页 中国科学:数学(英文版)
基金 supported by the National Natural Science Foundation of China (Grant Nos. 10431030, 10771138) the Shanghai Natural Science Foundation (Grant No. 07JC14001) the National Basic Research Program (GrantNo. 2005CB321701) Ministry of Education of China and State Administration of Foreign Experts Affairsof China under an 111 project (Grant No. B08018)
关键词 EIT RECONSTRUCTION algorithm LEVEL SET method EIT reconstruction algorithm level set method 34K29 35J05
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  • 1Gang Bao,Peijun Li.INVERSE MEDIUM SCATTERING PROBLEMS IN NEAR-FIELD OPTICS[J].Journal of Computational Mathematics,2007,25(3):252-265. 被引量:7
  • 2Girard C,Dereux A.Near-field optics theories. Reports on Progress in Physics . 1996
  • 3Carney P S,Schotland J C.Near-field tomography. Inside Out:Inverse Problems and Applications . 2003
  • 4Potthast R.Point Sources and Multipoles in Inverse Scattering Theory. . 2001
  • 5Potthast R.A point source method for inverse acoustic electromagnetic obstacle scattering problems. IMA Journal of Applied Mathematics . 1998
  • 6Kitsch A.Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory. Inverse Problems . 1999
  • 7Colton D,Kress R.Inverse Acoustic and Electromagnetic Scattering Theory. . 1998
  • 8Kirsch A.An Introduction to the Mathematical Theory of Inverse Problems. . 1996
  • 9Kress R.Linear Integral Equations. . 1999
  • 10Courjon D,Bainier C.Near field microscopy and near field optics. Reports on Progress in Physics . 1994

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