Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography

Electrical capacitance tomography holds significant potential for multiphase flow parameter measurements, but its application has been limited by the challenge of reconstructing high-quality images, especially under complex and uncertain conditions. We propose an innovative multi-objective robust op...

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Main Authors: Xuejie Yang, Jing Lei, Qibin Liu
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/9/4778
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author Xuejie Yang
Jing Lei
Qibin Liu
author_facet Xuejie Yang
Jing Lei
Qibin Liu
author_sort Xuejie Yang
collection DOAJ
description Electrical capacitance tomography holds significant potential for multiphase flow parameter measurements, but its application has been limited by the challenge of reconstructing high-quality images, especially under complex and uncertain conditions. We propose an innovative multi-objective robust optimization model to alleviate this limitation. This model integrates advanced optimization methods, multimodal learning, and measurement physics, structured as a nested upper-level optimization problem and lower-level optimization problem to tackle the challenges of complex image reconstruction. By integrating supervised learning methodologies with optimization principles, our framework synchronously achieves parameter tuning and performance enhancement. Utilizing the regularization theory, the multimodal learning prior image, sparsity prior, and measurement physics are incorporated into a novel lower-level optimization problem. To enhance the inference accuracy of the prior image, a new multimodal neural network leveraging multimodal data is developed. An innovative nested algorithm that mitigates computational difficulties arising from the interactions between the upper- and lower-level optimization problems is proposed to solve the proposed multi-objective robust optimization model. Qualitative and quantitative evaluation results demonstrate that the proposed method surpasses mainstream imaging algorithms, enhancing the automation level of the reconstruction process and image quality while exhibiting exceptional robustness. This study pioneers a novel imaging framework for enhancing overall reconstruction performance.
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spelling doaj-art-2d254a62ab1c4bbeb459a7c1f11d8dac2025-08-20T01:49:27ZengMDPI AGApplied Sciences2076-34172025-04-01159477810.3390/app15094778Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance TomographyXuejie Yang0Jing Lei1Qibin Liu2China Nuclear Power Engineering Co., Ltd., Haidian District, Beijing 100840, ChinaSchool of Energy, Power and Mechanical Engineering, North China Electric Power University, Changping District, Beijing 102206, ChinaInstitute of Engineering Thermophysics, Chinese Academy of Sciences, Haidian District, Beijing 100190, ChinaElectrical capacitance tomography holds significant potential for multiphase flow parameter measurements, but its application has been limited by the challenge of reconstructing high-quality images, especially under complex and uncertain conditions. We propose an innovative multi-objective robust optimization model to alleviate this limitation. This model integrates advanced optimization methods, multimodal learning, and measurement physics, structured as a nested upper-level optimization problem and lower-level optimization problem to tackle the challenges of complex image reconstruction. By integrating supervised learning methodologies with optimization principles, our framework synchronously achieves parameter tuning and performance enhancement. Utilizing the regularization theory, the multimodal learning prior image, sparsity prior, and measurement physics are incorporated into a novel lower-level optimization problem. To enhance the inference accuracy of the prior image, a new multimodal neural network leveraging multimodal data is developed. An innovative nested algorithm that mitigates computational difficulties arising from the interactions between the upper- and lower-level optimization problems is proposed to solve the proposed multi-objective robust optimization model. Qualitative and quantitative evaluation results demonstrate that the proposed method surpasses mainstream imaging algorithms, enhancing the automation level of the reconstruction process and image quality while exhibiting exceptional robustness. This study pioneers a novel imaging framework for enhancing overall reconstruction performance.https://www.mdpi.com/2076-3417/15/9/4778imaging methodmulti-objective robust optimizationmultimodal learninginformation fusionelectrical capacitance tomography
spellingShingle Xuejie Yang
Jing Lei
Qibin Liu
Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
Applied Sciences
imaging method
multi-objective robust optimization
multimodal learning
information fusion
electrical capacitance tomography
title Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
title_full Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
title_fullStr Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
title_full_unstemmed Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
title_short Multi-Objective Robust Optimization Reconstruction Algorithm for Electrical Capacitance Tomography
title_sort multi objective robust optimization reconstruction algorithm for electrical capacitance tomography
topic imaging method
multi-objective robust optimization
multimodal learning
information fusion
electrical capacitance tomography
url https://www.mdpi.com/2076-3417/15/9/4778
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AT jinglei multiobjectiverobustoptimizationreconstructionalgorithmforelectricalcapacitancetomography
AT qibinliu multiobjectiverobustoptimizationreconstructionalgorithmforelectricalcapacitancetomography