摘要
针对光学层析技术中的数据重建,提出了一种指数型滤波(EF)反投影解析法与迭代法相结合的迭代EF反投影算法,结合了前者重建速度快和后者重建质量高等优点,同时滤波函数采用指数型函数,抗噪性能好于传统滤波函数。算法以重建图像与真实图像的归一化均方距离d和归一化平均绝对距离r为优化目标,通过调整滤波函数指数因子减小投影数据噪声的影响,并建立了迭代计算模型。通过仿真实验,首先验证了单纯采用滤波反投影解析法时,EF函数相对于传统函数具有更好的重建精度,然后验证了本算法的图像重建质量高于EF反投影法,重建后的r减小了20%。进一步进行了折射率光学层析测量实验,分别采用本算法和EF反投影法重建了测量数据的折射率,并比较了仪器标定结果。结果表明:本算法具有更高的重建精度,与仪器标定结果的最大误差为7.9×10^(-6),重建精度相较于EF反投影法提高了约21%。
An iterative exponential filtering(EF)inverse projection reconstruction algorithm is proposed for data reconstruction in the field of optical tomography.The proposed algorithm combines the advantages of the high reconstruction quality of iterative reconstruction algorithm and high reconstruction speed of the EF inverse projection reconstruction algorithm.The filter function adopts the exponential function,and therefore,its antinoise performance is better than those of traditional filter functions.The algorithm adopts the normalized mean square distance d and normalized mean absolute distance r between the reconstructed and real images as the optimization goals.In addition,it adjusts the filter function exponential factor to reduce the impact of projection data noise and establishes an iterative calculation model.The simulation experiments show that the EF function has better reconstruction accuracy than traditional functions.The image reconstruction quality of the proposed algorithm is higher than that of the EF inverse projection reconstruction algorithm,r decreases by 20%.A refractive index optical tomography is conducted.The refractive index reconstruction of the measured data is performed using the proposed algorithm and EF inverse projection reconstruction algorithm.The reconstruction results are then compared with the calibration results obtained using the instrument.The results show that the proposed algorithm exhibits high reconstruction accuracy,and that the maximum error with the calibration results obtained using the instrument is 7.9×10^(-6).Compared with the EF inverse projection reconstruction algorithm,the reconstruction accuracy of the proposed method is improved by approximately 21%.
作者
陈强华
丁锦红
周胜
韩文远
吕洪波
孙启国
孔祥悦
罗会甫
Chen Qianghua;Ding Jinhong;Zhou Sheng;Han Wenyuan;LüHongbo;Sun Qiguo;Kong Xiangyue;Luo Huifu(School of Mechanical and Materials Engineering,North China University of Technology,Beijing 100144,China;The 11th Research Institute of China Electronics Technology Corporation,Beijing 100016,China;School of Mechanical Engineering,Beijing Institute of Technology,Beijing 100081,China)
出处
《激光与光电子学进展》
CSCD
北大核心
2022年第23期113-119,共7页
Laser & Optoelectronics Progress
基金
国家自然科学基金(52075004,50475177,51775044,11774030)
北京市教育委员会科研计划一般项目(KM202110009010)
北方工业大学科研启动基金(110051360002)。
关键词
测量
光学层析
折射率
重建算法
measurement
optical tomography
refractive index
reconstruction algorithm
