Image reconstruction technique of electrical capacitance tomography for low-contrast dielectrics using Calderon's method

Calderon's method was introduced to electrical capacitance tomography in this paper. It is a direct algorithm of the image reconstruction for low-contrast dielectrics, as no matrix inversion or iterative process is needed. It was implemented through numerical integration. Since the Gauss–Legendre quadrature was applied and can be predetermined, the image reconstruction process was fast and resulted in images of high quality. Simulations were carried out to study the effect of different dielectric contrasts and different electrode numbers. Both simulated and experimental results validated the feasibility and effectiveness of Calderon's method in electrical capacitance tomography for low-contrast dielectrics.

[1]  D. Geselowitz.  An application of electrocardiographic lead theory to impedance plethysmography. , 1971, IEEE transactions on bio-medical engineering.

[2]  J. Lehr,et al.  A vector derivation useful in impedance plethysmographic field calculations. , 1972, IEEE transactions on bio-medical engineering.

[3]  Fadil Santosa,et al.  Stability and resolution analysis of a linearized problem in electrical impedance tomography , 1991 .

[4]  Wuqiang Yang,et al.  Sensitivity distributions of capacitance tomography sensors with parallel field excitation , 1997 .

[5]  Sheng Gong,et al.  Concise Complex Analysis , 2001 .

[6]  Lihui Peng,et al.  Image reconstruction algorithms for electrical capacitance tomography , 2003 .

[7]  Christopher J. Zarowski,et al.  An Introduction to Numerical Analysis for Electrical and Computer Engineers: Zarowski/Intro to Numerical Analysis , 2004 .

[8]  Yang Wu-qiang,et al.  USING ELECTRICAL CAPACITANCE TOMOGRAPHY FOR MEASURING THE SOLIDS DISTRIBUTION IN CYCLONE SEPARATOR , 2004 .

[9]  Weifu Fang,et al.  A nonlinear image reconstruction algorithm for electrical capacitance tomography , 2004 .

[10]  David Isaacson,et al.  Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography , 2004, IEEE Transactions on Medical Imaging.

[11]  Wuqiang Yang,et al.  Tomography for multi-phase flow measurement in the oil industry , 2005 .

[12]  Manuchehr Soleimani,et al.  Nonlinear image reconstruction for electrical capacitance tomography using experimental data , 2005 .

[13]  Liang-Shih Fan,et al.  Imaging the Choking Transition in Gas−Solid Risers Using Electrical Capacitance Tomography , 2006 .

[14]  A. Calderón,et al.  On an inverse boundary value problem , 2006 .

[15]  Liang-Shih Fan,et al.  Behavior of the Dense-Phase Transportation Regime in a Circulating Fluidized Bed , 2006 .

[16]  Yong Yan,et al.  A calculable sensor for electrical impedance tomography , 2007 .

[17]  Mark A. Nurge,et al.  Electrical capacitance volume tomography with high contrast dielectrics using a cuboid sensor geometry , 2007 .

[18]  Shi Liu,et al.  Mass flow measurement of pneumatically conveyed solids using electrical capacitance tomography , 2008 .

[19]  Jutta Bikowski,et al.  2D EIT reconstructions using Calderon's method , 2008 .

[20]  Wuqiang Yang,et al.  Image reconstruction by nonlinear Landweber iteration for complicated distributions , 2008 .

[21]  Sheng Liu,et al.  Preliminary study on ECT imaging of flames in porous media , 2008 .