基于快速投影LANDWEBER法的电容层析成像图像重建算法研究

提出一种新的基于快速投影Landweber法的ECT图像重建算法。算法采用两部分迭代，初期采用预置矩阵加速迭代，该矩阵通过优化步长广义逆预迭代得到；后期采用常规投影Landweber法稳定迭代。探讨了ECT应用该算法的收敛条件，该算法易满足收敛条件且预置矩阵参数选取简单。仿真和实验结果表明，与LBP、OIOR、投影Landweber算法相比，该算法兼备收敛稳定性好及收敛速度快等优点。

A FAST PROJECTED-LANDWEBER METHOD FOR IMAGE RECONSTRUCTION FOR ECT

A novel fast projected-Landweber algorithm for electrical capacitance tomography is presented. The first part of the scheme uses the preconditioning matrix to accelerate the iterative process, and the second part maintains the algorithm stable by projected-Landweber algorithm. The preconditioning matrix is calculated by an iterative algorithm for generalized inverse, and an optimized step length function is incorporated into the prior-iterative scheme. The convergence condition for ECT problems is also discussed. It shows that it is easy to meet the convergence condition and convenient to choose the parameters of the preconditioning matrix.Experimental results and simulation data indicate that the algorithm can provide high quality images with less reconstruction time compared with LBP, OIOR and projected-Landweber algorithms.