Orthotropic Conductivity Reconstruction with Virtual Resistive Network and Faraday’s Law

نویسنده

  • YONG-JUNG KIM
چکیده

We obtain the existence and the uniqueness at the same time in the reconstruction of orthotropic conductivity in two space dimensions by using two sets of internal current densities and boundary conductivity. The curl free equation of Faraday’s law is taken instead of the elliptic equation in a divergence form which is typically used in electrical impedance tomography. A reconstruction method based on layered bricks type virtual resistive network (VRN) is developed to reconstruct orthotropic conductivity with up to 40% multiplicative noise.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Virtual Resistive Network and Conductivity Reconstruction with Faraday’s Law

Network based conductivity reconstruction method is introduced using the third Maxwell’s equation, or Faraday’s law, for a static case. The usual choice in electrical impedance tomography is the divergence free equation of the electrical current density. However, if the electrical current density is given, the curl free equation of the electrical field gives a direct relation between the curren...

متن کامل

Resistivity Tensor Imaging via Network Discretization of Faraday's Law

A resistive network based anisotropic resistivity reconstruction method is introduced when three sets of internal electrical currents are given. Faraday’s law is discretized using resistive networks for an anisotropic resistivity body such as a muscle or nerve fiber structure of an animal body. The resistivity tensor imaging method of this paper may provide another approach to find the fiber st...

متن کامل

Virtual Resistive Network algorithm for inverse conductivity problems

In this paper, we illustrated a numerical algorithm which we refer to as the Virtual Resistive Network algorithm, to reconstruct the interior conductivity from interior current densities. In the algorithm, the essence is to introduce a virtual resistive network onto the continuum domain. The algorithm is noniterative and has certain degrees of flexibility in use. We reconstructed the isotropic ...

متن کامل

Well-posedness in anisotropic conductivity reconstruction

In the thesis, interior conductivity reconstruction problems inferring from the interior current density data are considered. It is our main result that an anisotropic conductivity reconstruction in two dimensions is well-posed. This is relevant to an application of a medical diagnosis on human organism since human organism typically has an anisotropic conductivity. In the first part of thesis,...

متن کامل

Existence and Uniqueness in Anisotropic Conductivity Reconstruction with Faraday’s Law

Abstract. We show that three sets of internal current densities are the right amount of data that give the existence and the uniqueness at the same time in reconstructing an anisotropic conductivity in two space dimensions. The curl free equation of Faraday’s law is taken instead of the usual divergence free equation of the electrical impedance tomography. Boundary conditions related to given c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015