改进正则化半阈值算法的 ECT 图像重建
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TP391. 41 TH878

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国家自然科学基金(61871379)、天津市教委科研计划项目(2020KJ012)资助


ECT image reconstruction based on improved regularized half threshold algorithm
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    摘要:

    针对电容层析成像技术应用于工业多相流管道检测时,图像重建中存在的不适定性、病态性问题,提出一种改进正则化 半阈值算法。 以 L1 / 2 范数为惩戒函数,改进求解 L1 / 2 范数所用的半阈值迭代算法中的阈值算子,并以加入加速项的 Landweber 算法解向量为修正向量,引入改进半阈值正则化模型,优化加速 Landweber 算法。 实验的结果表明,改进正则化半阈 值算法在重建图像中相关系数平均达 0. 91,图像误差平均降至 0. 21,成像速度保持 0. 04 s。 复杂流型辨识中,改进算法比 Landweber 迭代算法相关系数提高 21. 67% ,相对误差降低 37. 01% ;比 Tikhonov 正则化算法相关系数提高 22. 61% ,相对误差降 低 37. 08% ;比半阈值算法相关系数和误差分别提高 14. 85% 和降低 28. 26% 。 结果表明改进正则化半阈值算法对 ECT 研究有 较好应用前景。

    Abstract:

    Aiming at the ill posed and ill conditioned problems in image reconstruction when electrical capacitance tomography technology is applied to the detection of industrial industrial multiphase flow pipeline, an improved regularized half threshold algorithm is proposed. Taking L1 / 2 norm as the penalty function, the threshold operator in the semi threshold iterative algorithm used to solve L1 / 2 norm is improved. Taking the solution vector of Landweber algorithm with acceleration term as the correction vector, the improved semi threshold regularization model is introduced to optimize the accelerated Landweber algorithm. The experimental results show that the average correlation coefficient of the improved regularized half threshold algorithm in the reconstructed image is as high as 0. 91, the average image error is reduced to 0. 21, and the imaging speed is maintained at 0. 04 s. For complex flow pattern identification, the correlation coefficient of the improved algorithm is increased by 21. 67% and the relative error is reduced by 37. 01% compared with the traditional Landweber iterative algorithm; Compared with Tikhonov regularization algorithm, the correlation coefficient is increased by 22. 61% and the relative error is reduced by 37. 08% ; Compared with the half threshold algorithm, the correlation coefficient and relative error are increased by 14. 85% and reduced by 28. 26% respectively. The results show that the improved regularized half threshold algorithm has a good application prospect for ECT research.

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马 敏,郭 鑫,于 洁.改进正则化半阈值算法的 ECT 图像重建[J].仪器仪表学报,2022,43(5):110-119

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  • 在线发布日期: 2023-02-06
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