咸阳师范学院学报2024,Vol.39Issue(2) :10-15,30.

基于L1/2范数的非局部PCA泊松噪声图像恢复改进算法

Improved Algorithm for Non-local PC A Poisson Noise Image Restoration Based on L1/2 Norms

李欢 张文娟 黄姝娟 肖锋
咸阳师范学院学报2024,Vol.39Issue(2) :10-15,30.

基于L1/2范数的非局部PCA泊松噪声图像恢复改进算法

Improved Algorithm for Non-local PC A Poisson Noise Image Restoration Based on L1/2 Norms

李欢 1张文娟 1黄姝娟 2肖锋2
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作者信息

  • 1. 西安工业大学基础学院,陕西西安 710016
  • 2. 西安工业大学计算机科学与工程学院,陕西西安 710016
  • 折叠

摘要

为增强NLSPCA(非局部稀疏主成分分析)算法对去除图像泊松噪声性能,提高图像块聚类精确度,增大字典下的表示系数稀疏性,改善恢复图像易模糊等问题,提出基于L1/2范数的非局部PCA泊松噪声图像恢复改进算法(L1/2-NLSPCA).新算法首先对图像分割成重叠块;其次采用设计的自适应BregmanK-means算法对分割的图像块聚类;最后使用PCA构建基于L1/2范数的非局部字典下的稀疏表示系数,对聚类后的图像块分组进行去噪重构.实验结果表明,L1/2-NLSPCA算法与基准算法相比峰值信噪比(PSNR)提高了 0.52~2.57 dB,在视觉上纹理细节更清晰.

Abstract

In order to mitigate the issue of image blurring during restoration by using the original NLSPCA(Non-Local Sparse Principal Component Analysis),we propose a novel non-local PCA Pois-son noise image restoration algorithm based on L1/2 norms(L1/2-NLSPCA)to improve enhance the performance in removing Poisson noise from images.Firstly,the proposed method segments the image into overlapping blocks;secondly,the designed adaptive Bregman K-means algorithm clusters the seg-mented image blocks to improve the accuracy of image block clustering;finally,we utilize PCA to construct a non-local dictionary and obtain sparse representation coefficients based on L1/2 norms,which are subsequently employed in the denoising and reconstruction of the clustered image blocks.L1/2 norms can increase the sparsity of the representation coefficients under the dictionary more effi-ciently.Experimental results show that the L1/2-NLSPCA algorithm improves the peak signal-to-noise ratio(PSNR)by 0.52 to 2.57 dB compared to with the benchmark algorithm,and the texture details are clearer visually visually clearer.

关键词

泊松分布/图像去噪/主成分分析/L1/2范数

Key words

Poisson distribution/image denoising/principal component analysis/L1/2 norms

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基金项目

国家自然科学基金面上项目(62171361)

陕西省重点研发计划(2022GY-119)

陕西省科技厅自然科学基础研究计划(2021JM-440)

陕西省科技厅工业科技攻关计划(2020GY-066)

出版年

2024
咸阳师范学院学报
咸阳师范学院

咸阳师范学院学报

CHSSCD
影响因子:0.137
ISSN:1672-2914
参考文献量15
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