电容成像图像重建算法原理及评价

对现有的电容成像图像重建算法进行了综述并介绍了其原理,其中包括线性反投影法(LBP)、基于奇异值分解(SVD)的直接算法、Tikhonov正则化方法、Newton-Raphson算法、最速下降法、Landweber迭代算法、代数重建技术(ART)、同步迭代重建技术(SIRT)和基于模型的重建算法。在此基础上使用仿真和实验数据对目前主要使用的线性反投影法、基于奇异值分解的直接方法、Tikhonov正则化方法、Tikhonov迭代、投影Landweber迭代等进行了评价。对它们从电容值误差、图像误差、相关系数和耗用时间几个角度进行了比较,并对今后电容成像图像重建算法的发展方向提出了一些看法。

Image reconstruction algorithms for electrical capacitance tomography:state of the art

Image reconstruction for electrical capacitance tomography (ECT) seeks to calculate the permittivity distribution from capacitance measurements. This paper reviews existing ECT image reconstruction algorithms, including linear back projection (LBP), singular value decomposition (SVD), Tikhonov regularisation, Newton-Raphson, steepest descent, Landweber iteration, the algebraic reconstruction technique (ART), the simultaneous iterative reconstruction technique (SIRT), and model-based reconstruction. The most commonly used ECT image reconstruction algorithms, LBP, SVD, Tikhonov regularization, iterative Tikhonov, and projected Landweber iteration, were evaluated using simulations and experimental data. The evaluation results are compared in terms of capacitance error, image error, correlation coefficient, and the time required for image reconstruction. Future possibilities on ECT image reconstruction algorithms are also discussed.