引用本文: 何永红, 朱建军, 靳鹏伟. 一种使用剪切波变换的干涉图滤波算法[J]. 武汉大学学报 ( 信息科学版), 2018, 43(7): 1008-1014.
HE Yonghong, ZHU Jianjun, JIN Pengwei. An Interferogram Filtering Algorithm Using Shearlet Transform[J]. Geomatics and Information Science of Wuhan University, 2018, 43(7): 1008-1014.
 Citation: HE Yonghong, ZHU Jianjun, JIN Pengwei. An Interferogram Filtering Algorithm Using Shearlet Transform[J]. Geomatics and Information Science of Wuhan University, 2018, 43(7): 1008-1014.

## An Interferogram Filtering Algorithm Using Shearlet Transform

• 摘要: 干涉图小波阈值法滤波未考虑干涉相位统计特性, 导致在低相干区域得到的滤波效果不能令人满意。针对这一问题, 提出了一种剪切波变换与干涉相位标准差相结合的相位滤波算法。该算法将干涉相位统计特性与剪切波阈值滤波结合起来, 利用相位标准差改正滤波阈值以提高滤波效果。此外, 为了评价干涉图的滤波效果并为实测数据选择合适的滤波方法提供参考, 将模拟干涉图解缠结果的局部均方差分布作为滤波质量评价指标。将此算法与Goldstein滤波、小波滤波、最优方向融合滤波和剪切波软阈值滤波进行比较, 结果表明所提算法能更有效地削弱干涉图噪声, 同时保留干涉图的细节信息, 避免了低相干地区弱滤波问题。

Abstract: In interferogram filtering, traditional threshold filtering algorithm based on wavelet transform does not consider the statistical properties of SAR's interference phase, and the filtering effect obtained in the low coherence regions is not satisfactory.This paper presents a kind of phase noise filtering algorithm combining the shearlet transform and standard deviation of phase.The algorithm uses the phase standard deviation to correct the filter threshold and improve the filtering effect.In addition, in order to evaluate the filtering effect and to select the appropriate filtering method for the measured data, a local mean square error distribution of the simulated interferogram is proposed as the filtering quality evaluation index.Compared with Goldstein filtering, wavelet filtering, optimal direction fusion filtering and shearlet soft threshold filtering, the results show that the proposed method can not only weaken the noise of interferogram, but also keep the details and avoid the weak filtering in low coherence regions.

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