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3D ECT reconstruction by an improved Landweber iteration algorithm
Affiliation:1. Hydraulic Engineering Laboratory, University of Bologna, via Terracini 28, 40131 Bologna, Italy;2. Department of Hydraulic and Environmental Engineering, Norwegian University of Science and Technology, S.P. Andersens veg 5, 7491 Trondheim, Norway;3. Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, viale Risorgimento 2, 40136 Bologna, Italy;1. Institute of Refrigeration and Cryogenics, Zhejiang University, Key Laboratory of Refrigeration and Cryogenic of Zhejiang Province, Hangzhou 310027, China;2. School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;3. Beijing Institute of Spacecraft Environment Engineering, Beijing 100094, China;4. China Aerodynamics Research and Development Center, Mianyang 621000, China;1. Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;2. Instituto de Telecomunicações, IST, Av. Rovisco Pais, 1, 1049-001 Lisbon, Portugal
Abstract:Electrical capacitance tomography (ECT) is a relatively mature non-invasive imaging technique that attempts to map dielectric permittivity of materials. Recently, 3D ECT has gained interest because of its potential to generate volumetric images. The study of a fast and accurate image reconstruction algorithm is a challenge task, especially for 3D reconstruction. In this paper, we propose an improved Landweber iteration algorithm. We incorporate an additional acceleration term into the cost function and apply an adaptive threshold operation to the image obtained in each iteration for reducing artefacts. The algorithm proposed is tested by the noise-free and noise-contaminated capacitance data. Sensitivity matrixes and capacitance data of a 3D ECT sensor are obtained by using the finite element (FE) method. Extensive simulations in 3D reconstruction are carried out. The results verify the effectiveness of these improvements. Both the reconstruction time and the artefacts in the reconstructed image are reduced obviously. The experimental results of 3D reconstruction of objects in the shape of letters U and L confirm the effectiveness of the proposed algorithm further.
Keywords:Electrical capacitance tomography  3D reconstruction  Reconstruction algorithm  Reducing image artefacts  Convergence rate
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