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张莉, 韩靖敏, 钱妍, 檀结庆. 内外先验结合的多尺度低秩去噪方法[J]. 计算机辅助设计与图形学学报, 2023, 35(4): 491-502. DOI: 10.3724/SP.J.1089.2023.19376
引用本文: 张莉, 韩靖敏, 钱妍, 檀结庆. 内外先验结合的多尺度低秩去噪方法[J]. 计算机辅助设计与图形学学报, 2023, 35(4): 491-502. DOI: 10.3724/SP.J.1089.2023.19376
Zhang Li, Han Jingmin, Qian Yan, and Tan Jieqing. Multi-Scale Low-Rank Denoising Method Combining Internal and External Priors[J]. Journal of Computer-Aided Design & Computer Graphics, 2023, 35(4): 491-502. DOI: 10.3724/SP.J.1089.2023.19376
Citation: Zhang Li, Han Jingmin, Qian Yan, and Tan Jieqing. Multi-Scale Low-Rank Denoising Method Combining Internal and External Priors[J]. Journal of Computer-Aided Design & Computer Graphics, 2023, 35(4): 491-502. DOI: 10.3724/SP.J.1089.2023.19376

内外先验结合的多尺度低秩去噪方法

Multi-Scale Low-Rank Denoising Method Combining Internal and External Priors

  • 摘要: 内部先验的去噪方法侧重图像的低秩性、稀疏性等先验知识,较少考虑多尺度特性;而基于外部先验的去噪方法充分利用自然图像的先验信息,却难以恰当地估计相似块组的秩.针对这些问题,综合考虑不同尺度间的噪声图像信息以及外部清晰图像的统计分布规律,提出内外先验结合的多尺度低秩去噪方法.在预训练阶段,学习外部自然图像数据集的统计分布规律,获得外部自然图像的先验信息;在分组阶段,采用外部先验信息引导噪声图像分组,构建低秩矩阵;在低秩约束阶段,利用构建的多尺度低秩去噪方法对噪声图像进行重建.在Set5,Set12,Kodak,McMaster等经典图像数据集上的实验结果表明,该方法在客观评价指标上有较为明显的改善,如峰值信噪比优于对比方法0.2 dB,并在主观视觉效果上能够保留图像细节和纹理.

     

    Abstract: The internal image denoising methods emphasize on low-rank, sparse, and other prior information, and rarely consider multi-scale property. The external image denoising methods make full use of prior information from natural image, but it is difficult to estimate the similar block group’s rank properly. Aiming at these problems, this paper proposes a multi-scale low-rank denoising algorithm which combines the internal and external priors together. It considers noise images’ information among different scales of noise images and statistical distribution of external clean images. In the pre-training stage, statistical distribution of external natural image data sets has been learned as the prior information. In the grouping stage, the external prior information will be adapted to guide the noise image grouping, and the low-rank matrices also can be constructed simultaneously. In the implementation stage, multi-scale prior and the generalized nuclear norm have been integrated, and the proposed multi-scale low-rank denoising method has been used to reconstruct the target images. The method has been tested on Set5, Set12, Kodak, McMaster, and other classical image datasets. Comparisons with several state-of-the-art denoising methods have been given. Experimental results show that the method has obvious improvement in objective evaluation indicators, for example, the peak signal-to-noise ratio is 0.2 dB better than the comparison method, and at the same time, it can effectively preserve image details and textures in subjective visual effects.

     

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