摘要
提出了一种分数阶三维块匹配去噪算法,以克服分数阶积分去噪中低频轮廓保留不精确的缺点和三维块匹配算法中高频纹理细节成分保留较差的缺点。描述了分数阶积分去噪方法应用在数字图像处理中的数学理论原理;构造了分数阶积分去噪模板,并具体分析了分数阶阶次选择对去噪结果的影响;从主观视觉评价和客观峰值信噪比(PSNR)度量两个标准对提出的去噪算法性能进行了分析。从去噪实验的结果来看,提出的分数阶三维块匹配算法在去噪图像高频细节纹理的保留上与诸如小波去噪、非局部均值等算法相比取得了更佳的结果。通过对本算法的数值实现,以及与多数流行去噪算法结果进行数值分析,证明了分数阶积分三维块匹配理论的正确性和合理性,得出了本算法效果更佳的结论。
To overcome the imprecise shortcomings of keeping low-level outline signal in denoise method based on fractional calculus filtering and losing high-level detail signal in BM3D （block-matching 3D） filtering, this paper proposed a fractional block-matching 3D filtering method. It discussed the basic mathmatic theory of fractional calctrlus to apply it to the image pro- cessing, constructured the fractional integral denoising templates, and discussed the impact of fractional order selection for de- noising results. And it used two standard methods to evaluate result： subjective visual perception and objective peak signal to noise ratio （PSNR）. The experiment results show that this method gets better results in reservations high-level details com- pared with wavelet filtering and nonlocal mean filtering. Through numerical realizing the method and analysing it with some ad- vanced denoise methods today, it proves the correctness and reasonability of the theory and it gets the conclution that this method is better.
出处
《计算机应用研究》
CSCD
北大核心
2015年第1期287-290,共4页
Application Research of Computers
