• Acta Physica Sinica
  • Vol. 68, Issue 18, 184302-1 (2019)
Yun-Qing Li1, Chen Jiang1, Ying Li1, Feng Xu1, Kai-Liang Xu1、*, De-An Ta1、*, and Lawrence H. Le2
Author Affiliations
  • 1Department of Electronic Engineering, Fudan University, Shanghai 200433, China
  • 2Department of Radiology and Diagnostic Imaging, University of Alberta, Edmonton T6G2B7, Canada
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    DOI: 10.7498/aps.68.20190763 Cite this Article
    Yun-Qing Li, Chen Jiang, Ying Li, Feng Xu, Kai-Liang Xu, De-An Ta, Lawrence H. Le. Multi-layer velocity model based synthetic aperture ultrasound imaging of cortical bone[J]. Acta Physica Sinica, 2019, 68(18): 184302-1 Copy Citation Text show less
    Flow chart of the proposed method.方法流程图
    Fig. 1. Flow chart of the proposed method.方法流程图
    Principle of synthetic aperture ultrasound: (a) Synthetic aperture focusing technique; (b) synthetic transmit aperture.合成孔径超声原理 (a)合成孔径聚焦; (b)发射合成孔径
    Fig. 2. Principle of synthetic aperture ultrasound: (a) Synthetic aperture focusing technique; (b) synthetic transmit aperture.合成孔径超声原理 (a)合成孔径聚焦; (b)发射合成孔径
    PSM model: (a) Single layer model; (b) multi-layer model.PSM模型 (a)单层介质模型; (b)多层介质模型
    Fig. 3. PSM model: (a) Single layer model; (b) multi-layer model.PSM模型 (a)单层介质模型; (b)多层介质模型
    Experiment setup.实验装置示意图
    Fig. 4. Experiment setup.实验装置示意图
    Simulated results: (a) The first 30 bases of compressed sensing; (b) received signal of single element; (c) received signals of all elements; (d) compressed sensing based temporally adjusted received signals of all elements.仿真结果 (a)压缩感知前30个基底; (b)单通道接收信号; (c)单次发射全部通道接收信号; (d)压缩感知调整的单次发射全部通道接收信号
    Fig. 5. Simulated results: (a) The first 30 bases of compressed sensing; (b) received signal of single element; (c) received signals of all elements; (d) compressed sensing based temporally adjusted received signals of all elements.仿真结果 (a)压缩感知前30个基底; (b)单通道接收信号; (c)单次发射全部通道接收信号; (d)压缩感知调整的单次发射全部通道接收信号
    Simulated reconstructed results: (a) Simulated reconstructed result without velocity model; (b) simulated reconstructed result with velocity model.仿真重建结果 (a)未建立声速模型的仿真重建结果; (b)建立声速模型的仿真重建结果
    Fig. 6. Simulated reconstructed results: (a) Simulated reconstructed result without velocity model; (b) simulated reconstructed result with velocity model.仿真重建结果 (a)未建立声速模型的仿真重建结果; (b)建立声速模型的仿真重建结果
    Experiment results: (a) The first 30 bases of compressed sensing; (b) received signal of single element; (c) received signals of all elements; (d) compressed sensing based temporally adjusted received signals of all elements.实验结果 (a)压缩感知前30个基底; (b)单通道接收信号; (c)单次发射全部通道接收信号; (d)压缩感知调整的单次发射全部通道接收信号
    Fig. 7. Experiment results: (a) The first 30 bases of compressed sensing; (b) received signal of single element; (c) received signals of all elements; (d) compressed sensing based temporally adjusted received signals of all elements.实验结果 (a)压缩感知前30个基底; (b)单通道接收信号; (c)单次发射全部通道接收信号; (d)压缩感知调整的单次发射全部通道接收信号
    Experiment reconstructed results: (a) Experiment reconstructed result without velocity model; (b) experiment reconstructed result with velocity model.实验重建结果 (a)未建立声速模型的实验重建结果; (b)建立声速模型的实验重建结果
    Fig. 8. Experiment reconstructed results: (a) Experiment reconstructed result without velocity model; (b) experiment reconstructed result with velocity model.实验重建结果 (a)未建立声速模型的实验重建结果; (b)建立声速模型的实验重建结果
    Comparison of compressed sensing and Hilbert transform: (a) Origin signal and noisy signal; (b) result of compressed sensing; (c) result of Hilbert transform.压缩感知与Hilbert变换比较 (a)原始信号及带噪信号; (b)针对原始信号和带噪信号的压缩感知结果; (c)针对原始信号和带噪信号的Hilbert变换结果
    Fig. 9. Comparison of compressed sensing and Hilbert transform: (a) Origin signal and noisy signal; (b) result of compressed sensing; (c) result of Hilbert transform.压缩感知与Hilbert变换比较 (a)原始信号及带噪信号; (b)针对原始信号和带噪信号的压缩感知结果; (c)针对原始信号和带噪信号的Hilbert变换结果
    参量数值
    真实厚度/mm3.03.13.23.33.43.53.63.73.83.94.04.14.24.34.44.54.64.74.84.9
    估计厚度/mm2.73.23.33.03.43.93.93.33.54.04.14.24.24.04.54.54.34.64.64.7
    相对误差/%103.23.19.10118.3117.92.62.52.406.92.306.52.14.24.1
    Table 1.

    Estimation and relative error of cortical bone thickness.

    皮质骨厚度估计及误差

    Yun-Qing Li, Chen Jiang, Ying Li, Feng Xu, Kai-Liang Xu, De-An Ta, Lawrence H. Le. Multi-layer velocity model based synthetic aperture ultrasound imaging of cortical bone[J]. Acta Physica Sinica, 2019, 68(18): 184302-1
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