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Title:: Comparative Analysis of Different Spatial Filters on the Vertical Deformation Field

Author(s):: CHANG Liu; WANG Ning; SHI Shuangshuang; (The first Crust Deformation Monitoring and Application Center,China Earthquake Administration,Tianjin 300180,China)

Keywords:: Median Filter; Mode estimator Filter; Boxcar Filter; Cosine Arch Filter; Gaussian Filter; Deformation Analysis

摘要:: 对中值滤波、模式滤波、盒式滤波、余弦滤波与高斯滤波5种空间域滤波方法的原理及特点进行分析,并对其进行实验模拟,基于模拟试验结果选取高斯滤波应用于大华北地区地壳垂直形变数据优化处理中。结果表明中值滤波适用于背景比较平缓的曲面; 模式滤波受突跳空间影响范围最大; 盒式滤波对于削弱突跳幅值和突跳空间影响范围效果居中; 余弦滤波和高斯滤波的滤波效果接近,但高斯滤波能更好地控制突跳对滤波的影响范围。将空间域滤波方法应用于形变分析数据处理中时,滤波窗口宽度建议选取为削弱目标长半径的2倍。

Abstract:: In this paper,principle and characteristics of five filter type which is the Median Filter,Mode estimator Filter,Boxcar Filter,Cosine Arch Filter and Gaussian Filter are studied,and selected a suitable method in north China vertical deformation analysis.The results show that the Median Filter is suitable for the background which is smooth surface.The effect of Mode estimator Filte,in the spacial scale impact by the cone is maximum.The effect of Boxcar Filter,in reducing the amplitude of the cone amplitude and the spacial scale impact by the cone is median.The effect of Boxcar Filter and Gaussian Filter are close,and Gaussian filter can better control the influence area range of the cone the filter.When the filter is applied to the deformation analysis,the filter window width is recommended to twice of the target radius.