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胡金蓉, 蒲亦非, 张意, 周激流. DCT子空间的非局部均值去噪算法[J]. 计算机辅助设计与图形学学报, 2012, 24(1): 89-96.
引用本文: 胡金蓉, 蒲亦非, 张意, 周激流. DCT子空间的非局部均值去噪算法[J]. 计算机辅助设计与图形学学报, 2012, 24(1): 89-96.
Hu Jinrong, Pu Yifei, Zhang Yi, Zhou Jiliu. Nonlocal Means Denoising Algorithm Based on DCT Subspace[J]. Journal of Computer-Aided Design & Computer Graphics, 2012, 24(1): 89-96.
Citation: Hu Jinrong, Pu Yifei, Zhang Yi, Zhou Jiliu. Nonlocal Means Denoising Algorithm Based on DCT Subspace[J]. Journal of Computer-Aided Design & Computer Graphics, 2012, 24(1): 89-96.

DCT子空间的非局部均值去噪算法

Nonlocal Means Denoising Algorithm Based on DCT Subspace

  • 摘要: 在整个图像块像素灰度值向量空间中,非局部均值(nonlocal means,NLM)算法度量像素间的相似性不仅计算复杂度高,而且当噪声存在时还不能准确地计算出像素间的相似性权重值,影响了对图像冗余性质的利用,使得去噪结果图像对比度和清晰度低.针对NLM算法的这一缺陷,利用离散余弦变换(discrete cosine transform,DCT)的低数据相关性和高能量紧致性,将DCT与NLM算法相结合,对图像块进行DCT,并在DCT低频系数子空间内度量像素间的相似性.实验结果表明,与NLM算法相比,该方法能够在保护图像结构信息、对比度和清晰度的前提下更有效地去除噪声,峰值信噪比值一般可以提高1dB以上,运行时间不到NLM算法的1/10.

     

    Abstract: Nonlocal means(NLM) has been becoming one of the most useful tools for image denoising.However,the computational cost is high due to the fact that calculation for similarity weights is performed in a full space of neighborhood patches.In addition,the calculation for its similarity weights has limited accuracy against noise when the noise standard deviation is large.In order to handle above-mentioned problems,we introduce a novel image denoising algorithm that integrates discrete cosine transform(DCT) into the NLM method,motivating from promising characteristics of DCT,such as low data correlation and high energy compaction,etc.Our novel NLM-DCTS algorithm is capable of improving quality and reducing the computational cost.Compared with NLM algorithm,the PSNR value can be improved more than 1 dB by NLM-DCTS,and the running time can be reduced to 1/10 of NLM's.

     

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