Sparse Data Recovery Algorithm Based on BP Neural Network for Ultrasonic Guided Wave Imaging

Xiaocen Wang, Min Lin, Jian Li, Dingpeng Wang, Yang Liu
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Abstract

Ultrasonic guided wave (UGW) imaging quality is limited by the large number of sensors. In this paper, a sparse data recovery algorithm based on back forward (BP) neural network is proposed to solve the problem that the image quality deteriorates with the decrease of the number of sensors. The sparse data from sparse sensor array is up-sampled preprocessing by compressive sensing and then input to the BP neural network to further reduce the recovery error. Numerical results show that the recovery errors reduce from 10−3 and 10−2 to 10−6 for 32 and 16 sensors. After sparse data recovery, the recovered dense data is used for imaging. The average correlation coefficient related to the imaging quality of 32 sensors is improved to the level with 64 sensors. For 16 sensors imaging, the average correlation coefficient is also improved, but the image quality is still slightly reduced compared with 64 sensors.
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基于BP神经网络的超声导波成像稀疏数据恢复算法
超声导波成像质量受到传感器数量过多的限制。针对图像质量随着传感器数量的减少而下降的问题,提出了一种基于BP神经网络的稀疏数据恢复算法。通过压缩感知对稀疏传感器阵列的稀疏数据进行上采样预处理,然后输入到BP神经网络中,进一步减小恢复误差。数值结果表明,32和16传感器的恢复误差从10−3和10−2降低到10−6。稀疏数据恢复后,将恢复的密集数据用于成像。将32个传感器成像质量的平均相关系数提高到64个传感器成像质量的水平。对于16个传感器成像,平均相关系数也有所提高,但与64个传感器相比,图像质量仍略有下降。
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