A Novel Image Reconstruction Algorithm Based on Trust Region for Electrical Capacitance Tomography System

Wang Lili1,Chen Yu1,2, Chen Deyun1, Yu Xiaoyang1

1.Harbin University of Science and Technology, Harbin, 150080
2. Northeast Forestry University, Harbin 150040

ABSTRACT

For the "soft field" effect and ill-posed problem in Electrical Capacitance Tomography, an improved new trust region algorithm is proposed for electrical capacitance tomography. Base on the analysis of the basic principles of electrical capacitance tomography, calculation steps of trust region algorithm are deduced for solving ECT inverse problem, and the Hesse matrix produced in iterative process is corrected according to BFGS formula. The convergence of trust region algorithm is analyzed, the result shows that it is easy to meet the convergence condition and error of image reconstruction is small. Results of experiment and simulation data indicate that for simple flow pattern, compared with LBP, Landweber and conjugate gradient algorithms, this new algorithm provides high quality images and favourable stabilization, and it presents a feasible and effective way to research on image reconstruction for electrical capacitance tomography system.

Keywords electrical capacitance tomography; image reconstruction; iterative algorithm; trust region