International Society for Industrial Process Tomography

Comparison of Different Radial Basis Functions for Parametric Level Set Based Method in Electrical Impedance Tomography

Dong Liu^1,2,3*, Danny Smyl⁴ and Jiangfeng Du^1,2,3

¹ CAS Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics, University of Science and Technology of China (USTC), Hefei 230026, China

² Hefei National Laboratory for Physical Sciences at the Microscale, USTC, Hefei 230026, China

³ Synergetic Innovation Center of Quantum Information and Quantum Physics, USTC, Hefei 230026, China

⁴ Department of Mechanical Engineering, Aalto University, Espoo, 02150, Finland

*Email address dong.liu@outlook.com

ABSTRACT

This paper presents a comparative study of the recently developed parametric level set (PLS) approach with different radial basis functions (RBFs) using electrical impedance tomography. The PLS-based scheme involves applying a level set model to solve the inverse problem of finding the boundaries between the regions having different profiles. The conductivity to be estimated is assumed to be piecewise constant but unknown, and the region boundaries are represented by a PLS function, which we represent using RBFs. The use of the RBFs allows us to reduce the number of unknowns and computational cost. The PLS-based scheme has been demonstrated successfully for EIT applications, but there has been little investigation into the influence of the basis functions themselves. In this work, numerical simulations and phantom experiments are performed to examine the robustness of the PLS-based reconstructions resulting from the use of different RBFs.

Keywords Parametric level set, electrical impedance tomography, radial basis function.

Industrial Application General