系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (4): 813-818.doi: 10.3969/j.issn.1001-506X.2020.04.11

• 传感器与信号处理 • 上一篇    下一篇

基于非凸加权范数约束的SAR图像降斑

刘书君(), 宋健(), 沈晓东(), 曹建鑫()   

  1. 重庆大学微电子与通信工程学院, 重庆 400044
  • 收稿日期:2019-03-27 出版日期:2020-03-28 发布日期:2020-03-28
  • 作者简介:刘书君(1981-),女,副教授,博士,主要研究方向为SAR图像处理、SAR成像与目标检测。E-mail:liusj@cqu.edu.cn|宋健(1995-),男,硕士研究生,主要研究方向为SAR图像处理、稀疏信号处理。E-mail:xiaokangmoving@163.com|沈晓东(1992-),男,硕士,主要研究方向为信号检测与估计、稀疏信号处理。E-mail:ouranian@163.com|曹建鑫(1994-),男,博士研究生,主要研究方向为压缩感知、并行计算。E-mail:jianxicao@126.com
  • 基金资助:
    国家自然科学基金(61701055);重庆市基础研究与前沿探索(cstc2018jcyjAX0161);重庆市基础研究与前沿探索(cstc2016jcyjA0134)

SAR image despeckling based on non-convex weighted norm constraint

Shujun LIU(), Jian SONG(), Xiaodong SHEN(), Jianxin CAO()   

  1. College of Microelectronics and Communication Engineering, Chongqing University, Chongqing 400044, China
  • Received:2019-03-27 Online:2020-03-28 Published:2020-03-28
  • Supported by:
    国家自然科学基金(61701055);重庆市基础研究与前沿探索(cstc2018jcyjAX0161);重庆市基础研究与前沿探索(cstc2016jcyjA0134)

摘要:

结合相似图像块具有低秩的特性提出了一种非凸加权范数约束(non-convex weighted norm constrain, NWNC)的合成孔径雷达(synthetic aperture radar, SAR)图像降斑方法。首先对每个目标块寻找相似图像块构建相似图像块集合;然后对相似图像块集合的系数矩阵进行NWNC;再利用广义阈值收缩法估计系数矩阵;最后对系数矩阵进行反变换重构出降斑图像。实验结果表明,该方法不仅有效地解决了传统低秩核范数约束不足的问题,而且通过NWNC和广义阈值收缩估计系数使得系数估计更加精确,表现在抑制斑点噪声的同时可以很好地保护图像的纹理细节。

关键词: 合成孔径雷达图像降斑, 低秩, 非凸加权范数约束, 广义阈值收缩

Abstract:

The non-convex weighted norm constrained (NWNC) synthetic aperture radar (SAR) image despeckling method is proposed based on the low rank property of similar image patch sets. Firstly, some similar image patches are searched for each target patch to construct a set of similar image patches. Secondly, NWNC is applied to the coefficient matrix. Then the coefficient matrix is estimated by generalized threshold shrinkage. Finally, the despeckled image is reconstructed by the inverse transformation of the coefficient matrix. The experimental results show that NWNC not only effectively solves the problem of insufficient constraints of traditional low-rank kernel norms, but also makes the coefficients estimation more accurate through NWNC and generalized threshold shrinkage, which can suppress speckle noise and protect the texture details of the image well.

Key words: synthetic aperture radar (SAR) image despeckling, low-rank, non-convex weighted norm constrain (NWNC), generalized threshold shrinkage

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