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implementing dbar in pyeit.eit

liubenyuan edited this page Apr 4, 2019 · 3 revisions

byliu: firstly, a difference 2D EIT imaging examples using d-bar with 16 discrete electrodes without CEM. Here are some resources provided by Sarah Hamilton.

Yes, thank you for your interest and work on pyEIT. I can point you to some d-bar codes posted by Dr. Samuli Siltanen (University of Helsinki). Please see: https://wiki.helsinki.fi/display/mathstatHenkilokunta/EIT+with+the+D-bar+method%3A+smooth+and+radial+case and https://wiki.helsinki.fi/display/mathstatHenkilokunta/EIT+with+the+D-bar+method%3A+discontinuous+heart-and-lungs+phantom for examples directly related to his SIAM textbook Linear and Nonlinear Inverse Problems with Practical Applications co-authored with Jennifer Mueller.

He also has posted codes on his blog (https://www.fips.fi/EIT_dataset.php). Be advised that his codes use the continuum model vs. the complete electrode model. To use simulated (or experimental) data coming from discrete electrodes, I point you to the following papers which provide the matrix-vector equations needed to compute the scattering data from the discrete electrode data. Once you have the scattering data, you can use Siltanen's codes for the rest of the problem.

  1. Isaacson D, Mueller J L, Newell J and Siltanen S 2004, Reconstructions of chest phantoms by the d-bar method for electrical impedance tomography, IEEE Transactions on Medical Imaging 23(7), pp. 821- 828. PDF (330 KB). https://ieeexplore.ieee.org/document/1309705/

  2. 2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform M DeAngelo and J L Mueller, Published 7 January 2010, 2010 Institute of Physics and Engineering in Medicine, Physiological Measurement, Volume 31, Number 2. http://iopscience.iop.org/article/10.1088/0967-3334/31/2/008/meta

updated, 2019-04-04

The dbar code can be found at https://blog.fips.fi/

  1. https://blog.fips.fi/tomography/eit/the-d-bar-method-for-electrical-impedance-tomography-simulated-data/
  2. https://blog.fips.fi/tomography/eit/the-d-bar-method-for-electrical-impedance-tomography-experimental-data/
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