Prior-online iteration for image reconstruction with electrical capacitance tomography

Liu, S.; Fu, Li; Yang, Wuqiang; Wang, Haoyu; Jiang, Fan

doi:10.1049/ip-smt:20040246

Cited by 113 publications

(44 citation statements)

References 14 publications

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“…For example, the linear back-projection method [10], the standard Tikhonov regularization method [13], the Landweber iteration algorithm [14], the offline iteration and online reconstruction algorithm [15], the generalized vector sampled pattern matching method [16], the generalized Tikhonov regularization techniques [17]- [20], the simulated annealing method [21], and other imaging methods can be traced back to [22]- [28]. Owing to the ill-posedness of the ECT imaging problem, seeking a fast and stable numerical method to ensure a high-quality imaging result remains an open problem.…”

Section: B Common Image Reconstruction Methodsmentioning

confidence: 99%

Electrical Capacitance Tomography Measurement of the Migration of Ice Frontal Surface in Freezing Soil

Liu

Suo

Zhou

et al. 2016

Measurement Science Review

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The tracking of the migration of ice frontal surface is crucial for the understanding of the underlying physical mechanisms in freezing soil. Owing to the distinct advantages, including non-invasive sensing, high safety, low cost and high data acquisition speed, the electrical capacitance tomography (ECT) is considered to be a promising visualization measurement method. In this paper, the ECT method is used to visualize the migration of ice frontal surface in freezing soil. With the main motivation of the improvement of imaging quality, a loss function with multiple regularizers that incorporate the prior formation related to the imaging objects is proposed to cast the ECT image reconstruction task into an optimization problem. An iteration scheme that integrates the superiority of the split Bregman iteration (SBI) method is developed for searching for the optimal solution of the proposed loss function. An unclosed electrodes sensor is designed for satisfying the requirements of practical measurements. An experimental system of one dimensional freezing in frozen soil is constructed, and the ice frontal surface migration in the freezing process of the wet soil sample containing five percent of moisture is measured. The visualization measurement results validate the feasibility and effectiveness of the ECT visualization method.

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Section: B Common Image Reconstruction Methodsmentioning

confidence: 99%

Electrical Capacitance Tomography Measurement of the Migration of Ice Frontal Surface in Freezing Soil

Liu

Suo

Zhou

et al. 2016

Measurement Science Review

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“…(2), in exactly the same way as in LBP method. This new algorithm has been tested for many cases and good results have been obtained [14] .…”

Section: Volumetric Concentration Measurementmentioning

confidence: 99%

Concentration and angular velocity measurement in a cyclone separator dipleg using electrical capacitance tomography

et al. 2008

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“…For a functional industrial ECT system the following requirements have to be met: " online reconstruction: Need for real-time monitoring (with optional subsequent control of the processes) with less emphasis on sharp images than on frames per second (fps) (for the online reconstruction the method proposed in (Liu et al, 2004) was already implemented into the 2D ECT prototype sensor of our group) " offline reconstruction: Fast sampling of measurement data and offline reconstruction to produce high quality images (nonlinear techniques are required for this task; for the offline reconstruction, computation times of 5 to 10 seconds are feasible; the problem with existing techniques is that sharp boundaries could not be reconstructed, due to some smoothness regularization) " robust and fast sensor hardware: The sensor hardware (tube material and possible front-end sensor electronics) has to bear up against harsh operating conditions (large temperature ranges, high pressure, etc). The hardware should be capable to capture 20-50 fps. "…”

Section: Industrial Requirements For An Ect Systemmentioning

confidence: 99%

Inverse problems, Ill-posedness and regularization – an illustrative example

Brandstätter

2007

Elektrotech. Inftech.

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Inverse problems, Ill-posedness and regularization -an illustrative example B. Brandstä tter Whenever one is confronted with the necessity to measure some quantities, which are not accessible directly, however, are linked via a mathematical model to some measurement data, one has to solve an inverse problem. In this context we speak of a direct problem, when expected measurement data are calculated from a mathematical model, when the not directly accessible quantities are given and, on the other hand, of an inverse problem, when these quantities are calculated from measured data via the mathematical model. In this paper the principles of inverse problems are explained on the basis of a one-dimensional image restoration problem, which is a linear problem and hence is easy to understand. Furthermore, the term ill-posedness will be explained and some possibilities to attain reasonable solutions to ill-posed problems are discussed.Inverse Probleme, Schlechtgestelltheit und Regularisierung -ein anschauliches Beispiel.Wann immer man mit der Aufgabe konfrontiert ist, nicht-direkt erfassbare Daten, die aber ü ber ein mathematisches Modell mit direkt messbaren Grö ßen verlinkt sind, messen zu mü ssen, muss man ein inverses Problem lö sen. In diesem Zusammenhang spricht man von einem direkten Problem, wenn man mit Vorgabe der nicht-direkt erfassbaren Grö ßen ü ber ein mathematisches Modell die zu erwartenden Messdaten berechnet, und umgekehrt von einem inversen Problem, wenn man aus den Messdaten -wieder ü ber den Umweg ü ber dasselbe mathematische Modell -die nicht-direkt erfassbaren Grö ßen berechnet. In diesem Beitrag werden die Grundzü ge von inversen Problemen anhand eines linearen eindimensionalen Image-Restoration-Problems dargelegt. Weiters werden der Ausdruck Schlechtgestelltheit erklä rt und Mö glichkeiten, zu annehmbaren Lö sungen fü r schlechtgestellte Probleme zu kommen, diskutiert.Schlü sselwö rter: inverse Probleme; Schlechtgestelltheit; Regularisierung

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Prior-online iteration for image reconstruction with electrical capacitance tomography

Cited by 113 publications

References 14 publications

Electrical Capacitance Tomography Measurement of the Migration of Ice Frontal Surface in Freezing Soil

Electrical Capacitance Tomography Measurement of the Migration of Ice Frontal Surface in Freezing Soil

Concentration and angular velocity measurement in a cyclone separator dipleg using electrical capacitance tomography

Inverse problems, Ill-posedness and regularization – an illustrative example

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