Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain $\Omega\subset\mathbb{R}^n$ and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.Comment: 28 pages. arXiv admin note: text overlap with arXiv:1405.047

EIT Reconstruction Algorithms: Pitfalls, Challenges and Recent Developments

We review developments, issues and challenges in Electrical Impedance Tomography (EIT), for the 4th Workshop on Biomedical Applications of EIT, Manchester 2003. We focus on the necessity for three dimensional data collection and reconstruction, efficient solution of the forward problem and present and future reconstruction algorithms. We also suggest common pitfalls or ``inverse crimes'' to avoid.Comment: A review paper for the 4th Workshop on Biomedical Applications of EIT, Manchester, UK, 200

Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions

Computing Volume Bounds of Inclusions by EIT Measurements

The size estimates approach for Electrical Impedance Tomography (EIT) allows for estimating the size (area or volume) of an unknown inclusion in an electrical conductor by means of one pair of boundary measurements of voltage and current. In this paper we show by numerical simulations how to obtain such bounds for practical application of the method. The computations are carried out both in a 2D and a 3D setting.Comment: 20 pages with figure

Electrical impedance tomography and trans-pulmonary pressure measurements in a patient with extreme respiratory drive

Preserving spontaneous breathing during mechanical ventilation prevents muscle atrophy of the diaphragm, but may lead to ventilator induced lung injury (VILI). We present a case in which monitoring of trans-pulmonary pressure and ventilation distribution using Electrical Impedance Tomography (EIT) provided essential information for preventing VILI

APPLIED CURRENT ELECTRICAL IMPEDANCE TOMOGRAPHY (ACEIT) PADA BIDANG VERTIKAL BAWAH TANAH MENGGUNAKAN METODE NEWTON RAPHSON

ABSTRAKSI: Electrical impedance tomography (EIT) merupakan metode pencitraan distribusi resistivitas listrik suatu objek berdasarkan pengukuran beda potensial yang terjadi pada bidang batas objek. Pada penelitian ini dikaji penerapan electrical impedance tomography (EIT) untuk menentukan distribusi resistivitas suatu objek pada permukaan vertikal di bawah tanah, elektroda disusun di tigasisi permukaan dengan konfigurasi planar 2-D. Untuk keperluan rekonstruksi citra digunakan algoritma rekonstruksi berbasis model, dengan menggunakan finite element method (FEM) untuk perhitungan distribusi potensial pada bidang batas permukaan objek dan metode Newton-Raphson untuk perhitungan distribusi resistivitas.KATA KUNCI: electrical impedance tomography , konfigurasi planar, finite element method , metode Newton - RhapsonABSTRACT: Electrical Impedance Tomography (EIT) is a method for imaging the electrical resistivity distribution of an object by measuring the potential difference. This study examined the application of electrical tomography for determining the resistivity distribution objects on vertical surfaces below ground, using electrodes arranged on three sides of the surface in planar configuration 2-D. Model based algorithm is used for determining image reconstruction, using the finite element method to calculate potential distribution of the object boundary and Newton-Raphson method for measuring the resistivity distribution.KEYWORD: electrical impedance tomography, planar configuration, finite element method, Newton - Rhapson metho