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Electrical Capacitance Tomography for Sensors of Square Cross Sections Using Calderon's Method | IEEE Journals & Magazine | IEEE Xplore

Electrical Capacitance Tomography for Sensors of Square Cross Sections Using Calderon's Method


Abstract:

Calderon's method was generalized to electrical capacitance tomography (ECT) for sensors of square cross sections in this paper. It is a direct algorithm of image reconst...Show More

Abstract:

Calderon's method was generalized to electrical capacitance tomography (ECT) for sensors of square cross sections in this paper. It is a direct algorithm of image reconstruction, as neither matrix inversion nor an iterative process is required for image reconstruction. Since the major calculations are implemented in terms of a circular region, complicated calculations required by Calderon's method for a noncircular cross section are avoided. A unique conformal transformation was used to establish a map from a circular region to a square. Results were obtained for a sensor of square cross section by using the conformal transformation. Two approximations of the scattering transform used in Calderon's method were compared with simulated data. The Gauss-Legendre quadrature was applied to provide a fast-speed and high-quality image reconstruction. The reconstructed results validated the feasibility and effectiveness of the proposed treatment of Calderon's method in ECT with a sensor of noncircular cross section.
Published in: IEEE Transactions on Instrumentation and Measurement ( Volume: 60, Issue: 3, March 2011)
Page(s): 900 - 907
Date of Publication: 30 December 2010

ISSN Information:

Author image of Zhang Cao
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China
Zhang Cao received the B.Sc. degree (with distinction) in automation and the M.Eng. and Ph.D. degrees (with distinctions) in measurement technology and automatic devices from Tianjin University, Tianjin, China, in 2003, 2005, and 2008, respectively.
He is currently a lecturer with the School of Instrumentation and Opto-Electronic Engineering, Beihang University, Beijing, China. His interests include process tomography, mul...Show More
Zhang Cao received the B.Sc. degree (with distinction) in automation and the M.Eng. and Ph.D. degrees (with distinctions) in measurement technology and automatic devices from Tianjin University, Tianjin, China, in 2003, 2005, and 2008, respectively.
He is currently a lecturer with the School of Instrumentation and Opto-Electronic Engineering, Beihang University, Beijing, China. His interests include process tomography, mul...View more
Author image of Lijun Xu
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China
Lijun Xu (M'04–SM'04) received the B.Sc., M.Eng., and Ph.D. degrees in electrical engineering and instrumentation from Tianjin University, Tianjin, China, in 1990, 1993, and 1996, respectively.
He was with the School of Electrical Engineering and Automation, Tianjin University, where he was a Lecturer from 1995 to 1997 and became an Associate Professor in 1997. From January 2002 to December 2004, he was a Research Fellow w...Show More
Lijun Xu (M'04–SM'04) received the B.Sc., M.Eng., and Ph.D. degrees in electrical engineering and instrumentation from Tianjin University, Tianjin, China, in 1990, 1993, and 1996, respectively.
He was with the School of Electrical Engineering and Automation, Tianjin University, where he was a Lecturer from 1995 to 1997 and became an Associate Professor in 1997. From January 2002 to December 2004, he was a Research Fellow w...View more
Author image of Wenru Fan
School of Electrical Engineering and Automation, Tianjin University, TJU, Tianjin, China
Wenru Fan received the B.Sc. degree in automation in 2006 and the M.Eng. degree in measurement technology and automatic devices in 2008 from Tianjin University, Tianjin, China, where she is currently working toward the Ph.D. degree with the School of Electrical Engineering and Automation.
Her current research focuses on image reconstruction of electrical tomography.
Wenru Fan received the B.Sc. degree in automation in 2006 and the M.Eng. degree in measurement technology and automatic devices in 2008 from Tianjin University, Tianjin, China, where she is currently working toward the Ph.D. degree with the School of Electrical Engineering and Automation.
Her current research focuses on image reconstruction of electrical tomography.View more
Author image of Huaxiang Wang
School of Electrical Engineering and Automation, Tianjin University, TJU, Tianjin, China
Huaxiang Wang (SM'06) received a degree from Tianjin University, Tianjin, China.
He is currently a Professor of measurement technology and automatic devices with the School of Electrical Engineering and Automation, Tianjin University. He is engaged in teaching and research, and supervises M.Sc. dissertation and Ph.D. students. He is the author of three books and more than 70 journal papers. His major research projects and ...Show More
Huaxiang Wang (SM'06) received a degree from Tianjin University, Tianjin, China.
He is currently a Professor of measurement technology and automatic devices with the School of Electrical Engineering and Automation, Tianjin University. He is engaged in teaching and research, and supervises M.Sc. dissertation and Ph.D. students. He is the author of three books and more than 70 journal papers. His major research projects and ...View more

Author image of Zhang Cao
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China
Zhang Cao received the B.Sc. degree (with distinction) in automation and the M.Eng. and Ph.D. degrees (with distinctions) in measurement technology and automatic devices from Tianjin University, Tianjin, China, in 2003, 2005, and 2008, respectively.
He is currently a lecturer with the School of Instrumentation and Opto-Electronic Engineering, Beihang University, Beijing, China. His interests include process tomography, multiphase flow measurement, and inverse problems.
Zhang Cao received the B.Sc. degree (with distinction) in automation and the M.Eng. and Ph.D. degrees (with distinctions) in measurement technology and automatic devices from Tianjin University, Tianjin, China, in 2003, 2005, and 2008, respectively.
He is currently a lecturer with the School of Instrumentation and Opto-Electronic Engineering, Beihang University, Beijing, China. His interests include process tomography, multiphase flow measurement, and inverse problems.View more
Author image of Lijun Xu
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, China
Lijun Xu (M'04–SM'04) received the B.Sc., M.Eng., and Ph.D. degrees in electrical engineering and instrumentation from Tianjin University, Tianjin, China, in 1990, 1993, and 1996, respectively.
He was with the School of Electrical Engineering and Automation, Tianjin University, where he was a Lecturer from 1995 to 1997 and became an Associate Professor in 1997. From January 2002 to December 2004, he was a Research Fellow with the University of Greenwich at Medway, Kent, U.K., and with the University of Kent, Kent, U.K. He was a Higher Scientific Officer with the Department of Physics, Institute of Cancer Research, University of London, London, U.K., from December 2004 to April 2006. He is currently a Professor with the School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing, China. He is the author or a coauthor of more than 120 publications. His current research interests include digital imaging, multiphase flow measurement, and dynamic process monitoring.
Lijun Xu (M'04–SM'04) received the B.Sc., M.Eng., and Ph.D. degrees in electrical engineering and instrumentation from Tianjin University, Tianjin, China, in 1990, 1993, and 1996, respectively.
He was with the School of Electrical Engineering and Automation, Tianjin University, where he was a Lecturer from 1995 to 1997 and became an Associate Professor in 1997. From January 2002 to December 2004, he was a Research Fellow with the University of Greenwich at Medway, Kent, U.K., and with the University of Kent, Kent, U.K. He was a Higher Scientific Officer with the Department of Physics, Institute of Cancer Research, University of London, London, U.K., from December 2004 to April 2006. He is currently a Professor with the School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing, China. He is the author or a coauthor of more than 120 publications. His current research interests include digital imaging, multiphase flow measurement, and dynamic process monitoring.View more
Author image of Wenru Fan
School of Electrical Engineering and Automation, Tianjin University, TJU, Tianjin, China
Wenru Fan received the B.Sc. degree in automation in 2006 and the M.Eng. degree in measurement technology and automatic devices in 2008 from Tianjin University, Tianjin, China, where she is currently working toward the Ph.D. degree with the School of Electrical Engineering and Automation.
Her current research focuses on image reconstruction of electrical tomography.
Wenru Fan received the B.Sc. degree in automation in 2006 and the M.Eng. degree in measurement technology and automatic devices in 2008 from Tianjin University, Tianjin, China, where she is currently working toward the Ph.D. degree with the School of Electrical Engineering and Automation.
Her current research focuses on image reconstruction of electrical tomography.View more
Author image of Huaxiang Wang
School of Electrical Engineering and Automation, Tianjin University, TJU, Tianjin, China
Huaxiang Wang (SM'06) received a degree from Tianjin University, Tianjin, China.
He is currently a Professor of measurement technology and automatic devices with the School of Electrical Engineering and Automation, Tianjin University. He is engaged in teaching and research, and supervises M.Sc. dissertation and Ph.D. students. He is the author of three books and more than 70 journal papers. His major research projects and activities are in the areas of sensing techniques and information processing, process parameter detection and control systems, and intelligential instrumentation systems.
Huaxiang Wang (SM'06) received a degree from Tianjin University, Tianjin, China.
He is currently a Professor of measurement technology and automatic devices with the School of Electrical Engineering and Automation, Tianjin University. He is engaged in teaching and research, and supervises M.Sc. dissertation and Ph.D. students. He is the author of three books and more than 70 journal papers. His major research projects and activities are in the areas of sensing techniques and information processing, process parameter detection and control systems, and intelligential instrumentation systems.View more

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