LINEAR OVER RANGES ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY

Waldemar Smolik; Jacek  Kryszyn

doi:10.5604/01.3001.0010.4598

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Published: Mar 3, 2017

DOI: https://doi.org/10.5604/01.3001.0010.4598

Issue Vol. 7 No. 1 (2017)

STUDY OF DEGRADATION AND GRANULAR FLOW PROCESSES USING X-RAY IMAGING
Laurent Babout , Krzysztof Grudzień, Marcin Janaszewski, Łukasz Jopek

5-10
TWO-PHASE FLOW REGIME THREE-DIMENSONAL VISUALIZATION USING ELECTRICAL CAPACITANCE TOMOGRAPHY – ALGORITHMS AND SOFTWARE
Robert Banasiak, Radosław Wajman, Tomasz Jaworski, Paweł Fiderek, Dominik Sankowski

11-16
INTELLIGENT SYSTEM FOR THE TWO-PHASE FLOWS DIAGNOSIS AND CONTROL ON THE BASIS OF RAW 3D ECT DATA
Paweł Fiderek, Tomasz Jaworski, Robert Banasiak, Jacek Nowakowski, Jacek Kucharski, Radosław Wajman

17-23
METHODS FOR MONITORING GRAVITATIONAL FLOW IN SILOS USING TOMOGRAPHY IMAGE PROCESSING
Krzysztof Grudzień, Dominik Sankowski

24-29
FLOW VELOCITY MEASUREMENT METHODS USING ELECTRICAL CAPACITANCE TOMOGRAPHY
Volodymyr Mosorov, Krzysztof Grudzień, Dominik Sankowski

30-36
ACCELERATION OF IMAGE RECONSTRUCTION PROCESS IN THE ELECTRICAL CAPACITANCE TOMOGRAPHY 3D IN HETEROGENEOUS, MULTI-GPU SYSTEM
Michał Majchrowicz, Paweł Kapusta, Lidia Jackowska-Strumiłło, Dominik Sankowski

37-41
APPLICATION OF FRACTIONAL CALCULUS FOR MODELLING OF TWO-PHASE GAS/LIQUID FLOW SYSTEM
Jacek Nowakowski, Piotr Ostalczyk, Dominik Sankowski

42-45
MULTI PHASE FLOW MEASUREMENTS WITH THE APPLICATION OF ECT/ERT DECART MULTIMODALITY TOMOGRAPH
Jacek Nowakowski, Robert Banasiak, Radosław Wajman, Dominik Sankowski

46-49
PARAMETRIC METHODS FOR ECT INVERSE PROBLEM SOLUTION IN SOLID FLOW MONITORING
Andrzej Romanowski, Krzysztof Grudzień, Hela Garbaa, Lidia Jackowska-Strumiłło

50-54
TOPOLOGICAL ALGORITHMS TO SOLVE INVERSE PROBLEM IN ELECTRICAL TOMOGRAPHY
Tomasz Rymarczyk

55-58
MONITORING DAMAGE AND DAMPNESS IN FLOOD EMBANKMENT BY ELECTRICAL IMPEDANCE TOMOGRAPHY
Tomasz Rymarczyk, Przemysław Adamkiewicz

59-62
LEVEL SETS AND COMPUTATIONAL INTELLIGENCE ALGORITHMS TO MEDICAL IMAGE ANALYSIS IN E-MEDICUS SYSTEM
Tomasz Rymarczyk

63-67
NONDESTRUCTIVE METHOD TO DETERMINE MOISTURE AREA IN HISTORICAL BUILDING
Tomasz Rymarczyk, Przemysław Adamkiewicz

68-71
HYBRID TECHNIQUES TO SOLVE OPTIMIZATION PROBLEMS IN EIT
Tomasz Rymarczyk, Paweł Tchórzewski

72-75
USING ELECTRICAL IMPEDANCE TOMOGRAPHY IN LINEAR ARRAYS OF MEASUREMENT
Tomasz Rymarczyk

76-79
COUPLING BOUNDARY ELEMENT METHOD WITH LEVEL SET METHOD TO SOLVE INVERSE PROBLEM
Tomasz Rymarczyk, Paweł Tchórzewski, Jan Sikora

80-83
DETECTION OF AIR GAPS IN COPPER-MINE CEILING BY ELECTRICAL IMPEDANCE TOMOGRAPHY
Tomasz Rymarczyk, Paweł Tchórzewski, Jan Sikora

84-87
MEASURING DATA ACQUISITION HARDWARE FOR ELECTRICAL IMPEDANCE TOMOGRAPHY
Tomasz Rymarczyk, Karol Duda, Paweł Rymarczyk, Daniel Olchowy, Jan Sikora

88-91
CONCEPT OF DETECTION SYSTEM TO LOCALIZE INSIDE CLOSED AREA BY RADIO TOMOGRAPHIC IMAGING
Tomasz Rymarczyk, Przemysław Adamkiewicz, Jakub Szumowski, Konrad Niderla, Łukasz Gołąbek, Jan Sikora

92-95
IDEA OF PARAMETRIC AND SEMANTIC OPEN PLATFORM SMART DEVICES SENSOR
Tomasz Rymarczyk, Grzegorz Kłosowski, Przemysław Adamkiewicz, Karol Duda, Jakub Szumowski, Paweł Tchórzewski

96-100
IDEA OF ELECTRICAL TOMOGRAPHY SYSTEM FOR MONITORING LUNG VENTILATION
Tomasz Rymarczyk, Przemysław Adamkiewicz, Paweł Tchórzewski

101-104
METHODS OF SMALL CAPACITANCE MEASUREMENT IN ELECTRICAL CAPACITANCE TOMOGRAPHY
Waldemar Smolik, Jacek Kryszyn, Tomasz Olszewski, Roman Szabatin

105-110
DEVELOPMENT OF ELECTRICAL CAPACITANCE TOMOGRAPH DESIGN IN THE NUCLEAR AND MEDICAL ELECTRONICS DIVISION
Jacek Kryszyn, Waldemar Smolik, Tomasz Olszewski, Roman Szabatin

111-114
LINEAR OVER RANGES ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY
Waldemar Smolik, Jacek Kryszyn

115-120
NEEDLE DETECTOR OF X-RAY AND GAMMA RADIATION
Grzegorz Domański, Roman Szabatin, Piotr Brzeski, Bogumił Konarzewski

121-124
DEVELOPMENT OF MAGNETIC NANOPARTICLES TOMOGRAPHY IN NUCLEAR AND MEDICAL ELECTRONICS DIVISION
Przemysław Wróblewski, Waldemar Smolik

125-129
GAIN PREDICTION THEORY OF SINGLE FOIL GAS ELECTRON MULTIPLIER DETECTOR
Grzegorz Domański, Roman Szabatin, Jerzy Kalenik, Adam Jaworski, Przemysław Wróblewski, Waldemar Smolik, Robert Kurjata, Bogusław Konarzewski, Michał Dziewiecki, Janusz Marzec, Krzysztof Zaremba, Marcin Ziembicki, Andrzej Rychter, Jacek Kryszyn, Piotr Brzeski, Jan Szmidt

130-132
INCREASING THE SIGNAL TO NOISE RATIO IN LOW-FIELD MR SCANNER AT DEPARTMENT OF NUCLEAR AND MEDICAL ELECTRONICS
Michał Wieteska, Wojciech Obrębski, Ewa Piątkowska-Janko, Błażej Sawionek, Piotr Bogorodzki

133-136
TOOLBOX FOR 3D MODELLING AND IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY
Jacek Kryszyn, Waldemar Smolik

137-145
2D MODELLING OF A SENSOR FOR ELECTRICAL CAPACITANCE TOMOGRAPHY IN ECTSIM TOOLBOX
Jacek Kryszyn, Waldemar Smolik

146-149
COIL DESIGN WITH LITZE WIRE FOR MAGNETIC PARTICLE SPECTROMETRY
Przemysław Wróblewski, Waldemar Smolik

150-153
BOUNDARY ELEMENT METHOD MODYFICATIONS FOR USE IN SOME IMPEDANCE AND OPTICAL TOMOGRAPHY APPLICATIONS
Maciej Pańczyk, Jan Sikora

154-160
REVIEW OF METHODS OF MEASURING BASED ON OPTICAL TOMOGRAPHY APPLICABLE TO DETERMINING FLOW PARAMETERS OF GAS-LIQUID
Mariusz Rząsa, Ewelina Podgórni

161-164

DOI

https://doi.org/10.5604/01.3001.0010.4598

Authors

Waldemar Smolik

W.Smolik@ire.pw.edu.pl

Warsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division, Poland

Jacek Kryszyn

J.Kryszyn@ire.pw.edu.pl

Warsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division, Poland

Abstract

The paper concerns the non-linear algorithms for image reconstruction in electrical capacitance tomography for which Jacobi matrix computation time is very long. The paper presents the idea of an iterative linearization in nonlinear problems, which leads to a reduction in the number of steps calculating Jacobi matrix. The linear Landweber algorithm with sensitivity matrix updating and non-linear Levenberg-Marquardt algorithm with Jacobi matrix updating in selected steps only were presented.

Keywords:

non-linear problem, iterative linearization, electrical tomography, image reconstruction from projections

References

Brandstatter B., Holler G., Watzenig, D.: Reconstruction of inhomogeneities in fluids by means of capacitance tomography. COMPEL—Int. J. Comput. Math. Electr. Electron. Eng., 22/2003, 508–19.

Brzeski P., Mirkowski J., Olszewski T., Pląskowski A., Smolik W., Szabatin R.: Multichannel capacitance tomograph for dynamic process imaging. Opto-Electronics Review, 11(3)/2003, 175–180.

Gomez S., Ono M., Gamio C., Fraguela A.: Reconstruction of capacitance tomography images of simulated two-phase flow regimes. Appl. Num. Math., 2003, 197–208.

Hansen P.C., O'leary D.P.: The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J. Sci. Comput., 14/1993, 1487–1503.

Holler G., Watzenig D., Brandstatter B.: A fast Gauss–Newton based ECT algorithm with automatic adjustment of the regularization parameter. Proc. 3rd World Congress on Industrial Process Tomography, Banff, Alberta, Canada, 2003, 415–420.

Huang S.M., Plaskowski A.B., Xie C.G., Beck M.S.: Capacitance-based tomographic flow imaging system. Electron. Lett., 24/1988, 418–419.

Huang S.M., Plaskowski A., Xie C.G., Beck M.S.: Tomographic imaging of two-component flow using capacitance sensors. J.Phys. E:Sci. Instrum., 22/1989, 173–177.

Landweber L.: An Iterative Formula for Fredholm Integral Equations of the First Kind. Amer. J. Math., 73/1951, 615–624.

Li Y., Yang W.Q.: Image reconstruction by nonlinear Landweber iteration for complicated distributions. Meas. Sci. Technol., 19/2008, 1–8.

Lionheart W. R.: EIT reconstruction algorithms: pitfalls, challenges and recent developments. Physiol. Meas., 25/2004, 125–142.

Lionheart W., Polydordes N., Borsic A.: The reconstruction problem. In: Holder D.S. (ed.) Electrical Impedance Tomography: Methods, History and Applications. Institute of Physics, 2004.

Mirkowski J., Smolik W., Olszewski T., Radomski D., Szabatin R., Brzeski P.: Parameters Optimization For Model Based Image Reconstruction In Electrical Capacitance Tomography. Proc. 4th World Congress on Industrial Process Tomography, Aizu, Japan, 2005, 703–707.

Mirkowski J., Smolik W.T., Yang M., Olszewski T., Szabatin R., Radomski D.S., Yang W.Q.: A New Forward-Problem Solver Based on a Capacitor-Mesh Model for Electrical Capacitance Tomography. IEEE Trans. Instrumentation and Measurement, Vol. 57, No 5, 2008, 973–980.

Plaskowski, A., Beck, M., Thorn, R. & Dyakowski, T.: Imaging industrial flows. Applications of electrical process tomography, IOP Publishing Ltd., 1995.

Smolik W.: Reconstruction of complex objects in electrical capacitance tomography. IEEE International Workshop on Imaging Systems and Techniques (IST 2009), Shenzhen, China, 2009, 432–437.

Smolik W.T., Radomski D.: Performance evaluation of the iterative image reconstruction algorithm with sensitivity matrix updating based on real measurements for electrical capacitance tomography. Meas. Sci. Technol., 20/2009, 115502 (12pp).

Smolik W., Mirkowski J., Olszewski T., Szabatin R.: Verification of image reconstruction algorithm with sensitivity matrix updating for real data in electrical capacitance tomography. Proc. 4th International Symposium on Process Tomography in Poland, Warsaw, Poland, 2006.

Smolik W.T., Accelerated Levenberg-Marquardt Method With an Optimal Step Length in Electrical Capacitance Tomography, Proc. of IEEE International Conference on Imaging Systems and Techniques (IST 2010), Thessaloniki, Greece, 2010, 204–209.

Smolik W.: Forward Problem Solver for Image Reconstruction by Nonlinear Optimization in Electrical Capacitance Tomography. Flow Measurement and Instrumentation, 21/2010, 70–77.

Smolik, W., & Kryszyn, J. . (2017). LINEAR OVER RANGES ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(1), 115–120. https://doi.org/10.5604/01.3001.0010.4598

LINEAR OVER RANGES ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY

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