AAM  >> Vol. 4 No. 2 (May 2015)

    Cavity Reconstruction Algorithm Based on Electrical Impedance Tomography

  • 全文下载: PDF(506KB) HTML   XML   PP.189-196   DOI: 10.12677/AAM.2015.42024  
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凤天宏:东北财经大学数学学院,辽宁 大连

电阻抗成像Cauchy问题Newton迭代法Electrical Impedance Tomography Cauchy Problem Newton-Type Iterative Method



Electrical impedance tomography problem refers to the imaging of electrical parameters inside the object by measuring the current and voltage value of object surfaces. An algorithm is proposed aiming at the reconstruction of homogeneous medium in the electrical impedance to-mography with cavity. The basic idea of the algorithm is using analytic continuation to transfer the original problem to the Cauchy problem of circle domain; Newton-type iterative method is used to solve the nonlinear equations, getting the assemblage whose normal derivative is zero satisfying the solution of Cauchy problem, and then the boundary of the cavity is gotten. At the same time, numerical examples of several kinds of special shaped cavity reconstruction are presented to demonstrate the feasibility of this algorithm.

凤天宏. 基于电阻抗成像问题的空腔重构算法[J]. 应用数学进展, 2015, 4(2): 189-196. http://dx.doi.org/10.12677/AAM.2015.42024