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According to the Tikhonov regularization technique, a new cost function with the total least squares technique and the \u2113\n                    <jats:sub>1<\/jats:sub>\n                    -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).\n                  <\/jats:p>","DOI":"10.1177\/0142331218799841","type":"journal-article","created":{"date-parts":[[2018,10,25]],"date-time":"2018-10-25T16:22:31Z","timestamp":1540484551000},"page":"2389-2399","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Split Bregman iteration based reconstruction algorithm for electrical capacitance 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