Three-operator splitting scheme with the reference image regularization for electrical capacitance tomography

  • J. Lei
  • Q. B. Liu
  • X. Y. Wang
Original Article


The image reconstruction is an important step in the electrical capacitance tomography (ECT) technology, and its performance directly impacts the reconstruction precision (RP). Beyond existing optimization-based imaging techniques, in this study the data-dependent reference image abstracted by the regularized random vector functional link network (RVFLN) and the domain expertise about imaging targets (ITs) are simultaneously encapsulated as regularizers to form a more effective imaging model. The three-operator splitting (TOS) technique is developed to solve the proposed imaging model more effectively, which extends the flexibility of the TOS method with the improvement in the utilization of image priors. Numerical validation results indicate that the proposed imaging technique achieves better reconstructions as compared with the state-of-the-art methods.


Image reconstruction Reference image regularization Regularized random vector functional link network Three-operator splitting algorithm Electrical capacitance tomography Inverse problem 



This work is supported by the Fundamental Research Funds for the Central Universities (No. 2017MS012), the National Natural Science Foundation of China (Nos. 51206048 and 51576196) and the National Key Research and Development Program of China (No. 2017YFB0903601).


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of EnergyPower and Mechanical Engineering, North China Electric Power UniversityChangping District, BeijingChina
  2. 2.Institute of Engineering ThermophysicsChinese Academy of SciencesHaidian District, BeijingChina
  3. 3.School of Control and Computer EngineeringNorth China Electric Power UniversityChangping District, BeijingChina

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