基于CS-GPSR的电容层析成像图像重建算法
发布时间：2019-01-05 02:26
【摘要】：提出将基于压缩感知(CS)理论的稀疏梯度投影(GPSR)算法应用于电容层析成像(ECT)图像重建过程中。采用离散Fourier变换(DFT)基将原始图像灰度信号进行稀疏化处理;将ECT灵敏度矩阵的各行按随机顺序进行排列,得到ECT系统观测矩阵,同时将测量电容向量的各行按相同顺序进行排列,得到观测投影向量;使用GPSR算法进行图像重建。仿真实验结果表明:基于CS理论的GPSR(CS-GPSR)算法重建图像质量明显优于LBP算法和Landweber迭代算法。本文所述算法可实现较高精度的图像重建,为ECT图像重建的研究提供了一种新的手段。
[Abstract]:A sparse gradient projection (GPSR) algorithm based on compressed perceptual (CS) theory is proposed for the reconstruction of (ECT) images in electrical capacitance tomography. The original image gray signal is sparse based on discrete Fourier transform (DFT) basis. The lines of the ECT sensitivity matrix are arranged in random order to obtain the observation matrix of the ECT system. At the same time, the lines of the capacitance vector are arranged in the same order to obtain the observation projection vector. The GPSR algorithm is used to reconstruct the image. Simulation results show that the reconstructed image quality of GPSR (CS-GPSR) algorithm based on CS theory is obviously better than that of LBP algorithm and Landweber iterative algorithm. The algorithm presented in this paper can achieve high precision image reconstruction, which provides a new method for the research of ECT image reconstruction.
【作者单位】： 河北省发电过程仿真与优化控制工程技术研究中心;华北电力大学自动化系;
【基金】：国家自然科学基金资助项目(51306058) 中央高校基本科研业务费专项项目(2014MS142)
【分类号】：TP391.41
[Abstract]:A sparse gradient projection (GPSR) algorithm based on compressed perceptual (CS) theory is proposed for the reconstruction of (ECT) images in electrical capacitance tomography. The original image gray signal is sparse based on discrete Fourier transform (DFT) basis. The lines of the ECT sensitivity matrix are arranged in random order to obtain the observation matrix of the ECT system. At the same time, the lines of the capacitance vector are arranged in the same order to obtain the observation projection vector. The GPSR algorithm is used to reconstruct the image. Simulation results show that the reconstructed image quality of GPSR (CS-GPSR) algorithm based on CS theory is obviously better than that of LBP algorithm and Landweber iterative algorithm. The algorithm presented in this paper can achieve high precision image reconstruction, which provides a new method for the research of ECT image reconstruction.
【作者单位】： 河北省发电过程仿真与优化控制工程技术研究中心;华北电力大学自动化系;
【基金】：国家自然科学基金资助项目(51306058) 中央高校基本科研业务费专项项目(2014MS142)
【分类号】：TP391.41
【参考文献】
相关期刊论文 前5条
1 王丕涛;王化祥;孙r囋，
本文编号：2401137
本文链接：https://www.wllwen.com/kejilunwen/ruanjiangongchenglunwen/2401137.html
