DeepAI AI Chat
Log In Sign Up

Immersed Boundary Method for the Complete Electrode Model in Electrical Impedance Tomography

by   Jérémi Dardé, et al.

We propose an immersed boundary scheme for the numerical resolution of the Complete Electrode Model in Electrical Impedance Tomography, that we use as a main ingredient in the resolution of inverse problems in medical imaging. Such method allows to use a Cartesian mesh without accurate discretization of the boundary, which is useful in situations where the boundary is complicated and/or changing. We prove the convergence of our method, and illustrate its efficiency with two dimensional direct and inverse problems.


page 21

page 22

page 25


Numerical Solution of Inverse Problems by Weak Adversarial Networks

We consider a weak adversarial network approach to numerically solve a c...

Sampled Limited Memory Methods for Massive Linear Inverse Problems

In many modern imaging applications the desire to reconstruct high resol...

Operational Learning-based Boundary Estimation in Electromagnetic Medical Imaging

Incorporating boundaries of the imaging object as a priori information t...

A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature

In this work, we investigate a class of elliptic inverse problems and ai...

Toeplitz matrices in the Boundary Control method

Solving inverse problems by dynamical variant of the BC-method is basica...

Pocket Guide to Solve Inverse Problems with GlobalBioIm

GlobalBioIm is an open-source MATLAB library for solving inverse problem...

On the Reconstruction of Static and Dynamic Discrete Structures

We study inverse problems of reconstructing static and dynamic discrete ...