Due to ill-posedness and less information of image reconstruction problem in electrostatic tomography（ EST）

the space resolution of the reconstructed image is extremely low. In order to improve the imaging quality

an modified Landweber image reconstruction algorithm is proposed. The reconstructed image by linear back projection（ LBP） algorithm is used as initial value of the Landweber iterative algorithm. Then the final image is reconstructed by the Landweber algorithm. Simulation experiment illustrates that modified Landweber algorithm can obtain satisfied imaging results than LBP algorithm and Landweber algorithm

and improved imaging precision compared with the two algorithms. The distribution of charges in pipeline can be more accurately determined by this way.