Diff-INR: Generative Regularization for Electrical Impedance Tomography

Fuente: arXiv
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Autori principali: Tong, Bowen, Wang, Junwu, Liu, Dong
Natura: Preprint
Pubblicazione: 2024
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author Tong, Bowen
Wang, Junwu
Liu, Dong
author_facet Tong, Bowen
Wang, Junwu
Liu, Dong
contents Electrical Impedance Tomography (EIT) is a non-invasive imaging technique that reconstructs conductivity distributions within a body from boundary measurements. However, EIT reconstruction is hindered by its ill-posed nonlinear inverse problem, which complicates accurate results. To tackle this, we propose Diff-INR, a novel method that combines generative regularization with Implicit Neural Representations (INR) through a diffusion model. Diff-INR introduces geometric priors to guide the reconstruction, effectively addressing the shortcomings of traditional regularization methods. By integrating a pre-trained diffusion regularizer with INR, our approach achieves state-of-the-art reconstruction accuracy in both simulation and experimental data. The method demonstrates robust performance across various mesh densities and hyperparameter settings, highlighting its flexibility and efficiency. This advancement represents a significant improvement in managing the ill-posed nature of EIT. Furthermore, the method's principles are applicable to other imaging modalities facing similar challenges with ill-posed inverse problems.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04494
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Diff-INR: Generative Regularization for Electrical Impedance Tomography
Tong, Bowen
Wang, Junwu
Liu, Dong
Image and Video Processing
Computer Vision and Pattern Recognition
Electrical Impedance Tomography (EIT) is a non-invasive imaging technique that reconstructs conductivity distributions within a body from boundary measurements. However, EIT reconstruction is hindered by its ill-posed nonlinear inverse problem, which complicates accurate results. To tackle this, we propose Diff-INR, a novel method that combines generative regularization with Implicit Neural Representations (INR) through a diffusion model. Diff-INR introduces geometric priors to guide the reconstruction, effectively addressing the shortcomings of traditional regularization methods. By integrating a pre-trained diffusion regularizer with INR, our approach achieves state-of-the-art reconstruction accuracy in both simulation and experimental data. The method demonstrates robust performance across various mesh densities and hyperparameter settings, highlighting its flexibility and efficiency. This advancement represents a significant improvement in managing the ill-posed nature of EIT. Furthermore, the method's principles are applicable to other imaging modalities facing similar challenges with ill-posed inverse problems.
title Diff-INR: Generative Regularization for Electrical Impedance Tomography
topic Image and Video Processing
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2409.04494