Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography

Abstract

Electrical capacitance tomography (ECT) is one kind of two/three-phase flow parameter visualization measurement technique. Image reconstruction of ECT is an ill-posed problem. Among the two-phase flow regimes, there are such distribution situations as objects being in the centre, objects being rather small or many objects being close to each other, the accuracy of reconstructed images is relatively poor. Based on the fact that the permittivity distribution of these flow regimes satisfies the priori condition of sparsity, the ECT image reconstruction algorithm based on Barzilai-Borwein gradient projection for sparse reconstruction (GPSR-BB) was presented in this paper. Simulation and experimental tests were carried out for the sparse distribution phantoms and experimental results show that the quality of reconstructed images can be enhanced obviously.