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首页> 外文期刊>Science, Measurement & Technology, IET >Three-dimensional electrical capacitance tomography reconstruction by the Landweber iterative algorithm with fuzzy thresholding
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Three-dimensional electrical capacitance tomography reconstruction by the Landweber iterative algorithm with fuzzy thresholding

机译：基于模糊阈值的Landweber迭代算法重建三维电容层析成像

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摘要

The image reconstruction for electrical capacitance tomography is a non-linear, underdetermined and ill-posed inverse problem. It is difficult to obtain a reconstructed image with high quality, especially in the case of three-dimensional (3D) reconstruction. An iterative image reconstruction algorithm with fuzzy thresholding is proposed in this study. The threshold value in each iteration is generated by minimising the measure of fuzziness of current reconstructed image. The algorithm proposed is tested by the noise-free and the noise-contaminated capacitance data. Extensive computer simulations demonstrate that the fuzzy thresholding can reduce low grey-level artefacts effectively. As a result, the spatial error, volume error, permittivity error and scattered artefacts of the reconstructed image are reduced obviously; not only that, the number of iterations needed to obtain a good reconstruction result is decreased greatly. The result of 3D reconstruction of a H-shape object verifies the effectiveness of the fuzzy thresholding further.
机译：电容层析成像的图像重建是一个非线性，不确定和不适定的逆问题。难以获得高质量的重建图像，尤其是在三维（3D）重建的情况下。提出了一种基于模糊阈值的迭代图像重建算法。通过最小化当前重构图像的模糊性的度量来生成每次迭代中的阈值。通过无噪声和噪声污染的电容数据对提出的算法进行了测试。大量的计算机仿真表明，模糊阈值可以有效地减少低灰度级伪像。结果，明显减少了重建图像的空间误差，体积误差，介电常数误差和散射伪影。不仅如此，大大减少了获得良好重构结果所需的迭代次数。 H形对象的3D重建结果进一步验证了模糊阈值的有效性。

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