CAJ | 학술논문

传统电容层析成像(electrical capacitance tomography， ECT)系统图像重建算法一般基于 l2范数优化方法，其解具有一定的平滑性。文中引入l1范数同时作为数据项和正则化项，将问题转化为凸优化问题，采用原始–对偶内插点法(primal-dual interior-point method，PDIPM)进行数值计算，并对数据项和正则化项分别取l2范数或l1范数的不同模型，通过重建图像质量、迭代次数、求解时间和图像相对误差等评价指标进行比较。算法采用仿真数据和实际气固两相流实验数据进行评估。实验结果表明，该模型可以避免图像的过度平滑，能够对物场中不同介质有效区分，重建质量较好。
전통전용층석성상(electrical capacitance tomography， ECT)계통도상중건산법일반기우 l2범수우화방법，기해구유일정적평활성。문중인입l1범수동시작위수거항화정칙화항，장문제전화위철우화문제，채용원시–대우내삽점법(primal-dual interior-point method，PDIPM)진행수치계산，병대수거항화정칙화항분별취l2범수혹l1범수적불동모형，통과중건도상질량、질대차수、구해시간화도상상대오차등평개지표진행비교。산법채용방진수거화실제기고량상류실험수거진행평고。실험결과표명，해모형가이피면도상적과도평활，능구대물장중불동개질유효구분，중건질량교호。
Typically, image reconstruction for electrical capacitance tomography (ECT) system is formulated as optimization problem ofl2-norm which is feasible for signal recovery with smooth changes. An image reconstruction model withl1-norm both on the data fidelity term and regularization term was introduced, then the image reconstruction was transformed into a convex optimization problem which was solved by using the primal-dual interior-point method. The four models with different combinations ofl2-norm andl1-norm for data term and regularization term were compared with the quality of reconstruction image, the iterative numbers, the time consuming and the image relative error. The performance of the proposed algorithm was evaluated based on simulation data and experimental data of gas/solid two-phase flow. Results show that the proposed model with PDIPM algorithm for ECT image reconstruction can obtain high quality reconstruction images while avoiding over-smooth.