Iteration Regularization Reconstruction Method for Electrical-capacitance Tomography
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摘要: 图像重建算法对于电容层析成像(Electrical Capacitance Tomography,ECT)可视化测量方法的成功应用至关重要。文章提出了一个新的重建算法以改善ECT图像重建质量。新方法构建了一个新的目标函数,将ECT图像重建问题转化为一个最优化问题;基于分裂Bregman方法,提出了一个新的迭代方法,有效地求解该目标函数。仿真计算结果表明,提出的新算法能够确保ECT图像重建的数值稳定性,显著改善图像重建质量,为ECT图像重建提供了一个有效方法。Abstract: The image reconstruction method plays a crucial role in successful applications of the electrical capacitance tomography (ECT) visualization measurement method. In this paper, a new imaging method was proposed to improve the reconstruction quality. In the proposed imaging method, a new cost function was put forward to convert the image reconstruction problem with the focus on the ECT imaging into an optimization problem. A new iteration method that encapsulates the advantages of the split Bregman (SB) method was developed to effectively solve the cost function. Numerical experiment results indicate that the proposed imaging method can ensure the numerical stability of the ECT image reconstruction and significantly improve the reconstruction quality. The findings of the study provide an effective method for the image reconstruction task in the ECT imaging.
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Key words:
- electrical capacitance tomography /
- inverse problem /
- image reconstruction
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