An iterative thresholding algorithm for the inverse problem of electrical resistance tomography

作者：Zhang Lingling; Xu Genqi; Xue Qian^*; Wang Huaxiang; Xu Yanbin

来源：Flow Measurement and Instrumentation, 2013, 33: 244-250.

DOI：10.1016/j.flowmeasinst.2013.07.010

• Electrical resistance tomography
• Sparsity
• Iterative
• Surrogate term
• Regularization

Image reconstruction in Electrical Resistance Tomography (ERT) is an ill-posed nonlinear inverse problem. Considering the sparsity property of ERT model, in this paper, we replace the conventional l(2) regularization penalty term by weighted l(p)(1 <= p < 2) penalty term. To overcome the non-quadratic property, a surrogate term is added to the objective function. An interesting condition is that the classical methods (e.g. SVD, Landweber iteration) can be used to solve the l(p)(1 <= p < 2) least squares problems. Both typical and complicated distributions (e.g. annular and cross-shape) have been examined using a 16-electrode configuration based on the finite element method (FEM) software COMSOL. The simulated results demonstrate the feasibility of the proposed algorithm, and compared to the l(2) regularization method, the proposed algorithms can produce images of higher quality, which are evaluated both qualitatively and quantitatively.

• 出版日期2013-10
• 单位天津大学; 中国民航大学