Robust Computation of 2D EIT Absolute Images with D-bar Methods
نویسندگان
چکیده
Absolute images have important applications in medical Electrical Impedance Tomography (EIT) imaging, but the computations are very sensitive to modeling errors and noise. In this paper the effects of errors in domain shape and electrode placement on absolute images computed with 2-D D-bar reconstruction algorithms are studied. It is demonstrated with experimental tank data from several EIT systems that these methods are quite robust to such modeling errors, and furthermore the artefacts arising from such modeling errors are similar to those occurring in classic time-difference EIT imaging.
منابع مشابه
Accurate D-bar Reconstructions of Conductivity Images Based on a Method of Moment with Sinc Basis
Planar D-bar integral equation is one of the inverse scattering solution methods for complex problems including inverse conductivity considered in applications such as Electrical impedance tomography (EIT). Recently two different methodologies are considered for the numerical solution of D-bar integrals equation, namely product integrals and multigrid. The first one involves high computational ...
متن کاملImaging cardiac activity by the D-bar method for electrical impedance tomography.
A practical D-bar algorithm for reconstructing conductivity changes from EIT data taken on electrodes in a 2D geometry is described. The algorithm is based on the global uniqueness proof of Nachman (1996 Ann. Math. 143 71-96) for the 2D inverse conductivity problem. Results are shown for reconstructions from data collected on electrodes placed around the circumference of a human chest to recons...
متن کاملDeep D-bar: Real time Electrical Impedance Tomography Imaging with Deep Neural Networks
The mathematical problem for Electrical Impedance Tomography (EIT) is a highly nonlinear ill-posed inverse problem requiring carefully designed reconstruction procedures to ensure reliable image generation. D-bar methods are based on a rigorous mathematical analysis and provide robust direct reconstructions by using a low-pass filtering of the associated nonlinear Fourier data. Similarly to low...
متن کاملA Hybrid Segmentation and D-Bar Method for Electrical Impedance Tomography
The regularized D-bar method for electrical impedance tomography (EIT) provides a rigorous mathematical approach for solving the full nonlinear inverse problem directly, i.e., without iterations. It is based on a low-pass filtering in the (nonlinear) frequency domain. However, the resulting D-bar reconstructions are inherently smoothed, leading to a loss of edge distinction. In this paper, a no...
متن کاملA Data-driven Edge-preserving D-bar Method for Electrical Impedance Tomography
In Electrical Impedance Tomography (EIT), the internal conductivity of a body is recovered via current and voltage measurements taken at its surface. The reconstruction task is a highly ill-posed nonlinear inverse problem, which is very sensitive to noise, and requires the use of regularized solution methods, of which D-bar is the only proven method. The resulting EIT images have low spatial re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1712.00379 شماره
صفحات -
تاریخ انتشار 2017