基于改进Landweber算法的光学层析成像研究  

Research on Optical Tomography Based on Optimized Landweber Algorithm

作　　者：姚纪阳 郑晓钊 李华军 余善恩[1] Yao Jiyang;Zheng Xiaozhao;Li Huajun;Yu Shanen(School of Automation,Hangzhou Dianzi University,Hangzhou 310016,Zhejiang,China)

机构地区：[1]杭州电子科技大学自动化学院,浙江杭州310016

出　　处：《激光与光电子学进展》2023年第16期212-219,共8页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(51906053)。

摘　　要：光学层析成像技术由于其非接触性、结构简单、采样率高、安全性高、分辨率高等特性,在工业流体监测以及医学等领域得到广泛应用,同时在学术领域上也具有很高的研究价值。光学层析成像分为扫描阶段和图像重建阶段。在重建过程中,算法的性能往往决定着图像重建的质量。鉴于现有重建算法存在重建速度慢与图像质量不高等问题,提出一种基于预置矩阵的Landweber重建算法。该算法通过引入历史迭代信息、在迭代过程中添加预置矩阵和加速项而加快迭代速度,减小重建图像与真实图像的误差。对圆形测量场内5个特定分布进行实验仿真,对比所提改进算法与传统算法的性能。仿真结果显示,该算法的重建误差在5%左右,同时证实该改进算法相较于传统算法有显著性能提升,重建误差降低48%,图像质量得到显著提升。Due to the non-contact,simple structure,high sampling rate,high security,and high resolution,optical tomography technology has been widely used in the fields of industrial fluid monitoring and medicine and has significant research value in the academic field.Optical tomography concludes scanning stage and image reconstruction stage.In the stage of image reconstruction,the performance of the algorithm determines the performance of image reconstruction.Aiming at the problems of slow reconstruction speed and poor reconstruction quality,this paper proposes the improved Landweber reconstruction algorithm based on preset matrix.In the improved algorithm,the historical iteration information is considered,and preset matrix and acceleration term are introduced in the iteration process.In this paper,five specific distributions in the circular measurement field are used for experimental simulation,and the performance of the proposed improved algorithm is compared with that of the traditional algorithm.The results show that the performance of the proposed algorithm is significantly improved.The reconstruction error of the proposed algorithm is about 5%,which has been reduced by 48%.The quality of the reconstructed image is also significantly improved.

关 键 词：光学层析成像 图像重建算法 Landweber算法 预置矩阵 加速项 

分 类 号：TP317.4[自动化与计算机技术—计算机软件与理论]