Journal article
3D ELECTRICAL IMPEDANCE TOMOGRAPHY RECONSTRUCTIONS FROM SIMULATED ELECTRODE DATA USING DIRECT INVERSION texp AND CALDERON METHODS
INVERSE PROBLEMS AND IMAGING, v 15(5), pp 1135-1169
Oct 2021
PMID: 35173824
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
The first numerical implementation of a t(exp) method in 3D using simulated electrode data is presented. Results are compared to Calderon's method as well as more common TV and smoothness regularization-based methods. The t(exp) method for EIT is based on tailor-made non-linear Fourier transforms involving the measured current and voltage data. Low-pass filtering in the non-linear Fourier domain is used to stabilize the reconstruction process. In 2D, t(exp) methods have shown great promise for providing robust real-time absolute and time-difference conductivity reconstructions but have yet to be used on practical electrode data in 3D, until now. Results are presented for simulated data for conductivity and permittivity with disjoint non-radially symmetric targets on spherical domains and noisy voltage data. The 3D t(exp) and Calderon methods are demonstrated to provide comparable quality to their 2D counterparts and hold promise for real-time reconstructions due to their fast, non-optimized, computational cost.
Metrics
Details
- Title
- 3D ELECTRICAL IMPEDANCE TOMOGRAPHY RECONSTRUCTIONS FROM SIMULATED ELECTRODE DATA USING DIRECT INVERSION texp AND CALDERON METHODS
- Publication Details
- INVERSE PROBLEMS AND IMAGING, v 15(5), pp 1135-1169
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS; SPRINGFIELD
- Number of pages
- 34
- Grant note
- The first author is supported by NIH Award R21EB028064. The third and fifth authors are supported by the Academy of Finland, the Jane and Aatos Erkko Foundation and Neurocenter Finland.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:000683552600015
- Scopus ID
- 2-s2.0-85121789885
- Other Identifier
- 991021860751204721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical