A New Method for Image Blind Restoration Based on PDE

ZHU Jiang-bing; XU Tian-zhou; HUANG Chun-guang

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A New Method for Image Blind Restoration Based on PDE

更新时间：2025-07-16

- A New Method for Image Blind Restoration Based on PDE
- Acta Electronica Sinica Vol. 34, Issue 5, Pages: 887-891(2006)
- 作者机构：
  
  1. 北京理工大学理学院数学系,北京,100081
  2. 北京理工大学机电工程学院,北京,100081
  3. 北京理工大学理学院数学系北京,100081
  4. 北京理工大学机电工程学院北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Published：2006
- 稿件说明：
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ZHU Jiang-bing, XU Tian-zhou, HUANG Chun-guang. A New Method for Image Blind Restoration Based on PDE[J]. Acta Electronica Sinica, 2006, 34(5): 887-891.
DOI：

ZHU Jiang-bing, XU Tian-zhou, HUANG Chun-guang. A New Method for Image Blind Restoration Based on PDE[J]. Acta Electronica Sinica, 2006, 34(5): 887-891. DOI：

摘要

提出了一种新的基于偏微分方程的图像盲恢复模型.改进了Chan和Wong的交替最小化思想.扩散系数不是直接来源于图像的梯度幅值而是在图像梯度模的基础上恢复出图像的边缘信息

消除了梯度模在分母中对实验产生的误差

给出了模型粘性解的存在性

唯一性和稳定性的定理.并给出实验结果

通过比较表明该模型有很好的性能.

Abstract

A new blind restoration model based on PDE was proposed for image restoration

which improved the Chan and Wong's alternating minimization (AM) algorithm.The diffusion coefficient was not obtained from the gradient magnitude of the image directly

but the edge information restored from the gradient magnitude based on the model of the image.Avoided the error caused by the gradient magnitude of the denominator.Existence

uniqueness and stability of the model's viscosity solution were provided.The experimental results are given and compared with the Chan-Wong's model.The improvement by the new model is visible.

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