肖理庆^1,2, 王化祥³, 聂文艳²
AuthorsHTML:肖理庆^1,2, 王化祥³, 聂文艳²
AuthorsListE:Xiao Liqing^1,2, Wang Huaxiang³, Nie Wenyan²
AuthorsHTMLE:Xiao Liqing^1,2, Wang Huaxiang³, Nie Wenyan²
Unit:1. 天津大学精密仪器与光电子工程学院，天津 300072；2. 淮南师范学院机械与电气工程学院，淮南 232038；3. 天津大学电气自动化与信息工程学院，天津 300072
Unit_EngLish:1．School of Precision Instrument and Opto-Electronics Engineering, Tianjin University, Tianjin 300072, China
2. School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan 232038, China
3．School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
Abstract_Chinese:为了提高电阻层析成像图像重建质量, 利用h细化优化灵敏度矩阵以改善其病态性. 以电阻层析成像有限元模型h细化区域的起始层数、终止层数以及三角形有限元内部区域所插入节点的横坐标、纵坐标为变量, 以敏感场均匀分布时灵敏度矩阵条件数的倒数为适应度函数, 利用h细化优化灵敏度矩阵, 并将优化结果应用于改进Landweber预迭代算法图像重建. 实验结果表明, 利用h细化可有效改善其病态程度, 相比采取全局细化前后有限元模型对应的灵敏度矩阵, 条件数分别降低了35.354 3% 、32.820 4% , 提高了重建图像分辨率.
Abstract_English:In order to enhance image reconstruction quality，the sensitivity matrix was optimized using h refinement to cope with the ill-posedness in electrical resistance tomography. The starting and termination number of layer of the h refinement region，the horizontal and vertical coordinates of the nodes were taken as variables，and the reciprocal of the condition number was designed as the fitness function，and the finite element mesh was optimized using h refinement，which was thereafter applied to image reconstruction using the improved Landweber pre-iteration algorithm. Experimental results show that the ill-posedness is improved effectively，the condition number is reduced by 35.354 3% and 32.820 4%，comparing to the finite element mesh before and after global refinement，and the quality is improved.
Keyword_Chinese:电阻层析成像; h细化; 灵敏度矩阵; 病态性
Keywords_English:electrical resistance tomography; h refinement; sensitivity matrix; ill-posedness

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