数值计算与计算机应用2024,Vol.45Issue(3) :288-300.DOI:10.12288/szjs.s2024-0956

一类基于偏微分方程的遥感图像盲去噪去模糊算法

BLIND DENOISING AND DEBLURRING ALGORITHM FOR REMOTE SENSING IMAGES BASED ON PARTIAL DIFFERENTIAL EQUATIONS

温馨 李峰 隋鹏 邹永魁
数值计算与计算机应用2024,Vol.45Issue(3) :288-300.DOI:10.12288/szjs.s2024-0956

一类基于偏微分方程的遥感图像盲去噪去模糊算法

BLIND DENOISING AND DEBLURRING ALGORITHM FOR REMOTE SENSING IMAGES BASED ON PARTIAL DIFFERENTIAL EQUATIONS

温馨 1李峰 2隋鹏 3邹永魁1
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作者信息

  • 1. 吉林大学数学学院,长春 130012
  • 2. 中国空间技术研究院,钱学森空间技术实验室,北京 100085
  • 3. 吉林大学计算机科学与技术学院,长春 130012;长光卫星技术股份有限公司,长春,130102
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摘要

从模糊且含有噪声的图像中重建清晰图像是一个典型的病态问题,当模糊核是未知的时候需要同时重构模糊核和图像,这样的盲去噪去模糊问题受到学术界的广泛关注.利用变分方法,我们对遥感图像盲去噪去模糊问题建立了偏微分方程组模型,然后结合交替方向法和差分方法构造了全离散数值格式,用于求解未知核函数和清晰图像.通过数值实验分析了参数的选择对图像处理效果的影响,并确定了合理的参数.最后针对若干遥感图像进行了数值实验,实验结果表明了模型的有效性.

Abstract

Reconstructing clear images from blurred and noisy ones is a typical ill-posed problem.When the blurring kernel is unknown,reconstructing both the blurring kernel and the im-age is required.Such blind denoising and deblurring problems have attracted widespread attention in academia.Using variational methods,we established a partial differential equa-tion model for the blind denoising and deblurring problem of remote sensing images.Then,combining alternating direction method and finite difference method,we constructed a fully discrete numerical format for solving unknown kernel functions and clear images.Numer-ical experiments were conducted to analyze the effect of parameters on image processing performance and to determine reasonable parameters.Finally,numerical experiments were conducted on several remote sensing images,and the results demonstrated the effectiveness of the model.

关键词

偏微分方程/图像重建/盲去噪去模糊/变分方法

Key words

Partial Differential Equations/Image Reconstruction/Blind Denoising and Deblurring/Variational Methods

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出版年

2024
数值计算与计算机应用
中国科学院数学与系统科学研究院

数值计算与计算机应用

影响因子:0.188
ISSN:1000-3266
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