ROF Partial Differential Equations Suitable for SAR Images De-noising

doi:10.13474/j.cnki.11-2246.2018.0342

Abstract

Abstract:

In this paper, an improved algorithm based on histogram partial differential equalization(PDE) is proposed. This algorithm overcomes the problem of information damage in detail region, caused by eliminating speckle noise in existing SAR image enhancement algorithm. The method is based on the original histogram equalization PDE model, and combined with the ROF (Rudin Osher Fatemi) denoising model, the diffusion coefficient is controlled by the image gradient of edge features, and is kept small in edge region to retain edge information while big in non-edge region to remove noise. Then self-adaptive correction is applied to the denoised image, to suppress the unevenness in smoothing area of the image caused by ladder effect. The advantage of the algorithm is that de-noising and image enhancement are carried out simultaneously, so as to reduce the influence of coherent noise while preserving the contours of the edge of the feature. In order to verify the applicability of the algorithm, Sentinel-1A data is selected for example test. The results show that this method can effectively remove the coherent noise in the smooth region, and the information in edge and detail region is well preserved.

Key words: SAR images, de-noising, histogram, PDE, image enhancement, ROF

CLC Number:

P237

FU Suining, LU Xiaoping, LU Yao. ROF Partial Differential Equations Suitable for SAR Images De-noising[J]. 测绘通报, 2018, 0(11): 16-19.

References

[1] 吴诗婳,吴一全,周建江,等. 利用倒数灰度熵和改进Chan-Vese模型进行SAR河流图像分割[J]. 测绘学报,2015,44(11):1255-1262.
[2] 姜浩,冯敏,肖桐,等. 基于线状特征增强的TM遥感影像细小河流提取方法[J]. 测绘学报,2014,43(7):705-710.
[3] 邓少平. 高分辨率SAR影像典型线状目标半自动提取[D].武汉:武汉大学,2013.
[4] 黄果,许黎,陈庆利,等. 基于空间分数阶偏微分方程的图像去噪模型研究[J]. 四川大学学报(工程科学版),2012,44(2):91-98. DOI:10.15961/j.jsuese.2012.02.019.
[5] 王馨爽,陈尔学,李增元,等. 多时相双合成孔径雷达干涉测量土地覆盖分类方法[J]. 测绘学报,2015,44(5):533-540.
[6] 张帅,钟燕飞,张良培. 自适应差分进化的遥感影像自动模糊聚类方法[J]. 测绘学报,2013,42(2):239-246.
[7] 李贺,秦志远,周丽雅. SAR图像斑点噪声整体变分偏微分方程滤波算法研究[J]. 中国图象图形学报,2010,15(6):910-914.
[8] LEE J,WEN J H,AINSWORTH T L, et al. Improved Sigma Filter for Speckle Filtering of SAR Imagery[J].IEEE Transactions on Geoscience and Remote Sensing, 2009,47(1);202-213.
[9] 何钰,徐青,邢帅. 基于偏微分方程的去噪方法[J]. 测绘科学技术学报,2007,24(4):284-286.
[10] RUDIN L I, OSHER S, FATEMI E. Nonlinear Total Variation Based Noise Removal Algorithms[D]//Eleventh International Conference of the Center for Nonlinear Studies on Experimental Mathematics:Computational Issues in Nonlinear Science. Elsevier:[s.n.],1992.
[11] SAPIRO G, CASELLES V.Histogram Modification via Differential Equations[J]. Journal of Differential Equations,1997, 135(2):238-268.
[12] 欧阳伦曦,李新情,惠凤鸣,等. 哨兵卫星Sentinel-1A数据特性及应用潜力分析[J]. 极地研究,2017,29(2):286-295.
[13] 刘帅奇,胡绍海,肖扬. 基于稀疏表示的Shearlet域SAR图像去噪[J]. 电子与信息学报,2012,34(9):2110-2115.

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