基于L0正则化模糊核估计的遥感图像复原

闫敬文; 彭鸿; 刘蕾; 金光; 钟兴

doi:10.3788/OPE.20142209.2572

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基于L₀正则化模糊核估计的遥感图像复原

信息科学 | 更新时间：2020-08-13

- 基于L₀正则化模糊核估计的遥感图像复原
- Remote sensing image restoration based on zero-norm regularized kernel estimation
- 光学精密工程 2014年22卷第9期页码：2572-2579
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 汕头大学工学院,广东汕头,515063
  3. 汕头大学数学系,广东汕头,515063
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（No.40971206）();汕头大学学术创新团队建设项目（No.ITC12002）()
- DOI：10.3788/OPE.20142209.2572
  中图分类号： TP751.1
- 收稿日期：2014-06-11，
  
  修回日期：2014-06-19，
  
  纸质出版日期：2014
- 稿件说明：
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闫敬文, 彭鸿, 刘蕾等. 基于L0正则化模糊核估计的遥感图像复原[J]. 光学精密工程, 2014,22(9): 2572-2579

YAN Jing-wen, PENG Hong, LIU Lei etc. Remote sensing image restoration based on zero-norm regularized kernel estimation[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2572-2579
闫敬文, 彭鸿, 刘蕾等. 基于L0正则化模糊核估计的遥感图像复原[J]. 光学精密工程, 2014,22(9): 2572-2579 DOI： 10.3788/OPE.20142209.2572.

YAN Jing-wen, PENG Hong, LIU Lei etc. Remote sensing image restoration based on zero-norm regularized kernel estimation[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2572-2579 DOI： 10.3788/OPE.20142209.2572.

摘要

基于模糊图像的退化过程、卷积模糊模型和模糊图像生成的机理，提出一种基于

范数的正则化模糊核估计方法，解决了遥感图像重建问题中0范数难求解的难题。该方法以模糊核稀疏性为先验知识，采用对应梯度的

范数为正则项，有效避免了细小边缘对模糊核估计的影响，使得模糊核的估计更加准确。进一步采用超拉普拉斯分布来近似图像梯度的重尾分布，利用

0.5

范数正则化对模糊图像做反卷积，从而恢复出原始图像。与传统方法相比，本文方法可以准确地估计出图像的模糊核，很好地抑制恢复图像的振铃现象，有效地提升遥感图像的质量。模糊图像以及各方法重构图像在同一刀刃下的调制传递函数（MTF）曲线显示，本文方法的MTF曲线得到了较好的提升。

Abstract

On the basis of the degradation process of a blurred image

a convolution fuzzy model and the fuzzy image generation mechanism

a zero-norm regularization kernel estimation method is proposed to overcome the problem that 0 norm is difficult to solve in the remote sensing image reconstruction. By taking a fuzzy nuclear sparse for prior knowledge and corresponding gradient norms for regular items

the method avoids the impact of small edges of the image on blurred kernel and accurately estimates the blur kernel by the blurring image. Furthermore

the super Laplace distribution is used to approximate the heavy-tailed distribution of image gradient

and the norm regularization is taken to deconvolute the blurred image to recover the original image. As compared with the traditional methods

the proposed method estimates the obscure kernel of the image correctly

restrains the ringing phenomena well and improves the quality of remoter sensing image. The experiments for the same blade shows that Modulation Transfer Function(MTF) curve from proposed method is better than those from the blurred images and other reconstructed images.

关键词

Keywords

references

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