一种电容层析成像图像重建优化算法

提出一种电学层析成像(ECT)图像重建优化算法。通过将传统正则化算法转化为最小二乘问题进行求解,结合lp范数逼近正则化最小化问题,利用重新加权的方法进行迭代计算。以油-气两相流模型进行仿真及静态实验,将所提出的优化算法与常用的LBP、Landweber迭代及Tikhonov正则化算法进行对比。结果表明,与常用算法相比,采用该优化算法对管道中心物体及多物体分布流型进行图像重建,其图像相对误差均为最低,且重建图像的形状保真度明显提高。

An Optimized Algorithm for Image Reconstruction of Electrical Capacitance Tomography

An image reconstruction algorithm based on optimization algorithm for electrical capacitance tomography (ECT) is proposed. In order to approximate the regularization minimization problem, the traditional regularization algorithm is transformed into the least squares problem by the lp-norm, and the iterative calculation is performed by the re-weighting method. Simulation experiment and static experiment is carried out for oil-gas two-phase flow model. The presented optimization reconstruction algorithm is compared with the commonly used LBP, Landweber iteration and Tikhonov regularization algorithm. The results show that lower image relative error and obviously improved shape fidelity of the reconstructed images can be obtained using the presented algorithm for the flow patterns which contain the object in the center of the pipe or many objects in the pipe.