This study aims to improve control schemes for COVID-19 by a numerical model with estimation of parameters.We established a multi-level and multi-objective nonlinear SEIDR model to simulate the virus transmission.The ...This study aims to improve control schemes for COVID-19 by a numerical model with estimation of parameters.We established a multi-level and multi-objective nonlinear SEIDR model to simulate the virus transmission.The early spread in Japan was adopted as a case study.The first 96 days since the infection were divided into five stages with parameters estimated.Then,we analyzed the trend of the parameter value,age structure ratio,and the defined PCR test index(standardization of the scale of PCR tests).It was discovered that the self-healing rate and confirmed rate were linear with the age structure ratio and the PCR test index using the stepwise regression method.The transmission rates were related to the age structure ratio,PCR test index,and isolation efficiency.Both isolation measures and PCR test medical screening can effectively reduce the number of infected cases based on the simulation results.However,the strategy of increasing PCR test medical screening would encountered a bottleneck effect on the virus control when the index reached 0.3.The effectiveness of the policy would decrease and the basic reproduction number reached the extreme value at 0.6.This study gave a feasible combination for isolation and PCR test by simulation.The isolation intensity could be adjusted to compensate the insufficiency of PCR test to control the pandemic.展开更多
Earth is inhomogeneous, which means its elastic characteristics change with depth. The seismic method employs the propagation of waves throughout the earth to locate different structures and stratigraphy. Understandin...Earth is inhomogeneous, which means its elastic characteristics change with depth. The seismic method employs the propagation of waves throughout the earth to locate different structures and stratigraphy. Understanding the wave propagation is an important matter in exploration seismology;therefore modeling of seismic wave is an important tool. To validate the interpreted earth model out of the seismic data, seismic synthetic seismograms should be generated in a process named “seismic forward modeling”. Finite difference method is used as one of the most common numerical modeling techniques. In this paper the accuracy of finite difference method in seismic section modeling is explored on different modeled data set of heterogeneous earth. It is shown that finite difference method completes with migration to reposition the events in their correct location. Two different migration methods are used and various velocities are also tested to determine an appropriate migration velocity. Finally the validly of finite difference modeling is examined using a 2D structural similarity index technique.展开更多
蝗虫显微切片图像在获取的过程中不可避免地会受到噪声污染,其纹理、边缘与噪声又都属于高频分量,单独使用小波变换或偏微分方程(partial differential equation,PDE)扩散的方法都不能在有效去噪的同时保持边缘、纹理等。针对这一问题,...蝗虫显微切片图像在获取的过程中不可避免地会受到噪声污染,其纹理、边缘与噪声又都属于高频分量,单独使用小波变换或偏微分方程(partial differential equation,PDE)扩散的方法都不能在有效去噪的同时保持边缘、纹理等。针对这一问题,提出了基于自适应小波PDE的去噪算法。首先对蝗虫切片含噪图像进行sym5小波软阈值去噪,分解层数根据去噪后图像的PSNR(peak signal to noise ratio)值自适应地选择,阈值门限使用Birge-Massart处罚算法获取。然后在此去噪的基础上进行Perona-Malik(PM)模型去噪,迭代次数根据去噪后图像的PSNR值自适应地选择,梯度阈值根据图像自身的2范数获取。为了验证所提出算法的去噪性能,进行了与常用去噪算法的对比试验。试验结果表明:视觉上,采用本文算法去噪后的图像噪声点较少且边缘、纹理清晰;客观上,采用该文算法去噪后的图像PSNR值比使用维纳滤波高出2 d B左右,比使用中值滤波高出3 d B左右,比使用小波阈值去噪高出2 d B左右,比使用PM模型去噪高出1 d B左右,并且在结构相似性(structural similarity image measurement,SSIM)上采用该文算法去噪后的图像与原始图像的相似度最高。因此,将自适应小波PDE的算法应用于蝗虫切片去噪是可行的、有效的,为其后续处理提供了技术支持。展开更多
基金National Natural Science Foundation of China under Grant Nos.61803152,31920103016,and 11871475Doctoral Start-Up Foundation of Hunan Normal University under Grant No.0531120-3827Hunan Provincial Education Department under Grant No.HNKCSZ-2020-0813.
文摘This study aims to improve control schemes for COVID-19 by a numerical model with estimation of parameters.We established a multi-level and multi-objective nonlinear SEIDR model to simulate the virus transmission.The early spread in Japan was adopted as a case study.The first 96 days since the infection were divided into five stages with parameters estimated.Then,we analyzed the trend of the parameter value,age structure ratio,and the defined PCR test index(standardization of the scale of PCR tests).It was discovered that the self-healing rate and confirmed rate were linear with the age structure ratio and the PCR test index using the stepwise regression method.The transmission rates were related to the age structure ratio,PCR test index,and isolation efficiency.Both isolation measures and PCR test medical screening can effectively reduce the number of infected cases based on the simulation results.However,the strategy of increasing PCR test medical screening would encountered a bottleneck effect on the virus control when the index reached 0.3.The effectiveness of the policy would decrease and the basic reproduction number reached the extreme value at 0.6.This study gave a feasible combination for isolation and PCR test by simulation.The isolation intensity could be adjusted to compensate the insufficiency of PCR test to control the pandemic.
文摘Earth is inhomogeneous, which means its elastic characteristics change with depth. The seismic method employs the propagation of waves throughout the earth to locate different structures and stratigraphy. Understanding the wave propagation is an important matter in exploration seismology;therefore modeling of seismic wave is an important tool. To validate the interpreted earth model out of the seismic data, seismic synthetic seismograms should be generated in a process named “seismic forward modeling”. Finite difference method is used as one of the most common numerical modeling techniques. In this paper the accuracy of finite difference method in seismic section modeling is explored on different modeled data set of heterogeneous earth. It is shown that finite difference method completes with migration to reposition the events in their correct location. Two different migration methods are used and various velocities are also tested to determine an appropriate migration velocity. Finally the validly of finite difference modeling is examined using a 2D structural similarity index technique.
文摘蝗虫显微切片图像在获取的过程中不可避免地会受到噪声污染,其纹理、边缘与噪声又都属于高频分量,单独使用小波变换或偏微分方程(partial differential equation,PDE)扩散的方法都不能在有效去噪的同时保持边缘、纹理等。针对这一问题,提出了基于自适应小波PDE的去噪算法。首先对蝗虫切片含噪图像进行sym5小波软阈值去噪,分解层数根据去噪后图像的PSNR(peak signal to noise ratio)值自适应地选择,阈值门限使用Birge-Massart处罚算法获取。然后在此去噪的基础上进行Perona-Malik(PM)模型去噪,迭代次数根据去噪后图像的PSNR值自适应地选择,梯度阈值根据图像自身的2范数获取。为了验证所提出算法的去噪性能,进行了与常用去噪算法的对比试验。试验结果表明:视觉上,采用本文算法去噪后的图像噪声点较少且边缘、纹理清晰;客观上,采用该文算法去噪后的图像PSNR值比使用维纳滤波高出2 d B左右,比使用中值滤波高出3 d B左右,比使用小波阈值去噪高出2 d B左右,比使用PM模型去噪高出1 d B左右,并且在结构相似性(structural similarity image measurement,SSIM)上采用该文算法去噪后的图像与原始图像的相似度最高。因此,将自适应小波PDE的算法应用于蝗虫切片去噪是可行的、有效的,为其后续处理提供了技术支持。
