Dynamic reconstruction algorithm based on the split Bregman iteration for electrical capacitance tomography

2012 ◽  
Vol 35 (4) ◽  
pp. 476-490 ◽  
Author(s):  
J Lei ◽  
XY Wang ◽  
QB Liu ◽  
S Liu
Keyword(s):  
Reconstruction Algorithm ◽  
Electrical Capacitance Tomography ◽  
Electrical Capacitance ◽  
Dynamic Reconstruction ◽  
Bregman Iteration ◽  
Split Bregman ◽  
Split Bregman Iteration ◽  
Capacitance Tomography

Split Bregman iteration based reconstruction algorithm for electrical capacitance tomography

2018 ◽  
Vol 41 (9) ◽  
pp. 2389-2399 ◽  
Author(s):  
Lian Lu ◽  
Guowei Tong ◽  
Ge Guo ◽  
Shi Liu
Keyword(s):  
Cost Function ◽  
Tikhonov Regularization ◽  
Measurement Data ◽  
Reconstruction Algorithm ◽  
Electrical Capacitance Tomography ◽  
Reconstruction Technique ◽  
Electrical Capacitance ◽  
Reconstruction Algorithms ◽  
Split Bregman ◽  
Capacitance Tomography

The electrical capacitance tomography (ECT) technique uses the measured capacitance data to reconstruct the permittivity distribution in a specific measurement area, in which the performances of reconstruction algorithms play a crucial role in the reliability of measurement results. According to the Tikhonov regularization technique, a new cost function with the total least squares technique and the ℓ1-norm based regularizer is presented, in which measurement noises, model deviations and the influence of the outliers in the measurement data are simultaneously considered. The split Bregman technique and the fast-iterative shrinkage-thresholding method are combined into a new iterative scheme to solve the proposed cost function efficiently. Numerical experiment results show that the proposed algorithm achieves the boost in the precision of reconstruction, and under the noise-free condition the image errors for the imaging targets simulated in this paper, that is, 8.4%, 12.4%, 13.5% and 6.4%, are smaller than the linear backprojection (LBP) algorithm, the Tikhonov regularization (TR) algorithm, the truncated singular value decomposition (TSVD) algorithm, the Landweber algorithm and the algebraic reconstruction technique (ART).

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