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.