基于全变分正则约束的二维冲击波速度场条纹重构技术  

Fringe Reconstruction Technology of Two-Dimensional Shock Wave Velocity Field Based on Total Variation Regularization Constraints

作　　者：黎淼[1] 余柏汕 王玺 张磊 王晨燕 梁佳欣 Li Miao;Yu Baishan;Wang Xi;Zhang Lei;Wang Chenyan;Liang Jiaxin(College of Opto-electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学光电工程学院,重庆400065

出　　处：《光学学报》2023年第19期154-162,共9页Acta Optica Sinica

基　　金：国家自然科学基金重大仪器项目(12127810);国家自然科学基金(61604028);重庆市教委科学技术研究项目(KJZD-K202200607)。

摘　　要：在惯性约束聚变过程中,冲击波速度与靶丸内爆压缩对称性密切相关,任意反射面速度干涉仪(VISAR)与压缩超快成像(CUP)系统的结合(CUP-VISAR)为冲击波速度二维时变诊断开辟了新思路。针对系统重建耗时长的问题,提出并实现了一种针对CUP-VISAR系统的全变分正则化快速重建算法。对弯曲条纹的仿真重建分析结果表明,本文提出的TVAL3H算法对比传统TVAL3算法,峰值信噪比(PSNR)提升了6.86 dB(25 frame)~1.20 dB(150 frame),结构相似性(SSIM)提升了26.67%(25frame)~14.10%(150frame),时间消耗降低了92.15%(25frame)~78.30%(150 frame)。对比广义交替投影(GAP)和交替方向乘子(ADMM)算法,时间消耗降低了57.79%(100 frame,GAP)~77.20%(25 frame,ADMM)的同时PSNR和SSIM差异较小。在同一重构时间量级下,所建立重构算法不同frame条件的PSNR相比GAP与ADMM算法分别提高了1.92 dB(25 frame)~0.84 dB(150 frame)及1.85 dB(25 frame)~0.80 dB(150 frame);SSIM相比GAP与ADMM算法分别提高了9.23%(25 frame)~4.48%(150 frame)及8.85%(25 frame)~4.46%(150 frame)。Objective In recent years,the development and utilization of nuclear energy have become an important field at the frontier of the world's scientific and technological competitions.Inertial confinement fusion(ICF),as controlled fusion,injects a large amount of energy into the target pellet containing fusion fuel in a very short period,and the fuel inside the pellet undergoes compressional implosion under the action of extremely high temperature,pressure,and density to cause thermonuclear fusion reactions.Throughout the fusion process,the fusion fails due to the uneven symmetry of compressional implosion caused by various factors,which also limits the development of ICF research.Measuring the velocity distribution of shock waves can predict the compression state reached by the target pellet and provide reliable reference data for further optimization of ICF compressional implosion processes.CUP-VISAR is a significant diagnostic instrument for shock wave velocity measurement in the late stage of ICF implosion by recording the interferometric fringes formed by Doppler shift.The CUP-VISAR system provides a new way of thinking about the research on ultra-high temporal resolution 2D imaging of ICF.Currently,the two-step iterative shrinkage thresholding(TWIST)algorithm is mainly employed to solve the optimization problem,which has a large amount of matrix operation during the iterative solution process and thus leads to the defect of long reconstruction time.In this study,a fast and better-quality data reconstruction algorithm is adopted for CUP-VISAR measurement systems.Methods The traditional reconstruction algorithm of total variational regular constraint compression sampling is based on the total variational model to associate the sparse sampling matrix with its gradient domain to recover the edge and detail information of the sampled data during eliminating noise and artifacts.The traditional total variational regular constraint is mainly utilized to reconstruct two-dimensional data based on one-dimensional sampled

关 键 词：衍射与光栅 压缩超快成像 全变分正则项约束 冲击波诊断 三维重建 哈达玛乘积 

分 类 号：O439[机械工程—光学工程]