A comparison of techniques to improve pulmonary EIT image resolution using a database of simulated EIT images

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2025-05-01 Epub Date: 2024-12-09 DOI:10.1016/j.cam.2024.116415
Kyler Howard , Chris Rocheleau , Trevor Overton , Joel Barraza Nava , Mason Faldet , Kristina Moen , Summer Soller , Tyler Stephens , Esther van de Lagemaat , Natalie Wijesinghe , Kaylee Wong Dolloff , Nilton Barbosa da Rosa , Jennifer L. Mueller
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Abstract

Inherently low spatial resolution is a well-known challenge in electrical impedance tomography image reconstruction. Various approaches such as the use of spatial priors and post-processing techniques have been proposed to improve the resolution, but in the literature, comparisons using a common dataset representative of clinical images have not been considered. Here, we consider a database of 81,710 simulated EIT datasets constructed from pulmonary CT scans of 89 infants. Four techniques for improved image resolution and several combinations thereof are proposed and compared quantitatively on 16,341 known test cases reserved from the database. The techniques include an end-to-end deep learning reconstruction approach, post-processing of real-time one-step Gauss–Newton (GN) reconstructions using machine learning, post-processing using the Schur complement method, the use of an initial guess for the one-step GN method derived from the image database, and a method that makes use of the eigenfunctions of the principal component analysis of image vectors in the database. All methods resulted in improved metrics of error measurement compared to the Newton one-step error reconstruction method used as the basis for comparison.
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利用模拟EIT图像数据库提高肺部EIT图像分辨率的技术比较
固有的低空间分辨率是电阻抗断层成像图像重建的一个众所周知的挑战。已经提出了各种方法,如使用空间先验和后处理技术来提高分辨率,但在文献中,尚未考虑使用具有代表性的临床图像的通用数据集进行比较。在这里,我们考虑了一个由89名婴儿肺部CT扫描构建的81,710个模拟EIT数据集的数据库。在数据库中保留的16,341个已知测试用例上,提出了四种提高图像分辨率的技术及其几种组合,并进行了定量比较。这些技术包括端到端深度学习重建方法,使用机器学习对实时一步高斯-牛顿(GN)重建进行后处理,使用舒尔补方法进行后处理,使用从图像数据库导出的一步高斯-牛顿(GN)方法的初始猜测,以及利用数据库中图像向量主成分分析的特征函数的方法。与作为比较基础的牛顿一步误差重建方法相比,所有方法的误差测量指标都得到了改进。
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来源期刊
CiteScore
5.40
自引率
4.20%
发文量
437
审稿时长
3.0 months
期刊介绍: The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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