A Self-Generated Local Structural Prior for Resolving Target Merging in Electrical Impedance Tomography (EIT)
Abstract
Electrical impedance tomography (EIT) is an ill-posed inverse imaging technique with limited and spatially nonuniform resolution. Conductivity targets located in regions with degraded spatial sensitivity may be reconstructed as a single connected region, resulting in the loss of spatial separability between neighboring structures. In this work, we propose a self-generated local structural prior for suppressing target merging in EIT reconstruction. First, an initial conductivity image is obtained from the measured boundary data using an existing EIT reconstruction method. This reconstruction is subsequently used as a reference image to construct a Gaussian similarity matrix according to the intensity similarity between image pixels. The adaptively chosen eigenvector of the covariance matrix is then employed to extract the principal structural information of the reference image. A localized structural mask is constructed and incorporated into a subsequent EIT reconstruction to preserve the spatial separability of neighboring targets. Numerical and water tank experimental results demonstrate that the proposed method effectively separates neighboring conductivity targets that are merged by conventional EIT reconstruction methods.
Related
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- Neural Stream Function Method for Electrical Impedance Tomography with Lipschitz Conductivities
- The inverse elastic scattering problem in the cavity with impedance boundary
- Transmutation operators for the Sturm--Liouville equation in impedance form with an integrable potential
- A high-order ghost-point immersed boundary method coupled with auxiliary differential equations for time-domain impedance walls
BibTeX
@misc{liu2026selfgenerated,
title = {{A Self-Generated Local Structural Prior for Resolving Target Merging in Electrical Impedance Tomography (EIT)}},
author = {Junkang Liu and Yizhuang Song},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04394},
eprint = {2610.04394},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04394},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A Self-Generated Local Structural Prior for Resolving Target Merging in Electrical Impedance Tomography (EIT)
AU - Junkang Liu
AU - Yizhuang Song
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04394
UR - https://arxiv.org/abs/2610.04394
AB - Electrical impedance tomography (EIT) is an ill-posed inverse imaging technique with limited and spatially nonuniform resolution. Conductivity targets located in regions with degraded spatial sensitivity may be reconstructed as a single connected region, resulting in the loss of spatial separability between neighboring structures. In this work, we propose a self-generated local structural prior for suppressing target merging in EIT reconstruction. First, an initial conductivity image is obtained from the measured boundary data using an existing EIT reconstruction method. This reconstruction is subsequently used as a reference image to construct a Gaussian similarity matrix according to the intensity similarity between image pixels. The adaptively chosen eigenvector of the covariance matrix is then employed to extract the principal structural information of the reference image. A localized structural mask is constructed and incorporated into a subsequent EIT reconstruction to preserve the spatial separability of neighboring targets. Numerical and water tank experimental results demonstrate that the proposed method effectively separates neighboring conductivity targets that are merged by conventional EIT reconstruction methods.
ER -