An Anisotropic Regularization Method for Electrical Capacitance Tomography

Zhiheng Guo1, Fuqun Shao2 , Decai Lv3

1 Department of Computer Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan (Guangdong), 528402, China

2 School of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

3 Liaoning Institute of Science and Technology, Benxi, 117022, China E­mail:guozhiheng2002@yahoo.com.cn

ABSTRACT

An anisotropic regularization method for electrical capacitance tomography is presented. The new method, by which a regularization matrix is constructed using a combination of an identity matrix and an anisotropic weighted Laplacian operator related to the spatially varying gradient magnitude of the sensitivity, is capable of reconstructing superior image quality over the standard Tikhonov method. Simulation experimentations have been performed to verify the validity of the method.

Keywords electrical capacitance tomography, combined anisotropic regularization, sensitivity gradient