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An Image Filter Based on Shearlet Transformation and Particle Swarm Optimization Algorithm

机译：基于Shearlet变换和粒子群算法的图像滤波器

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摘要

Digital image is always polluted by noise and made data postprocessing difficult. To remove noise and preserve detail of image as much as possible, this paper proposed image filter algorithm which combined the merits of Shearlet transformation and particle swarmoptimization (PSO) algorithm. Firstly, we use classical Shearlet transformto decompose noised image into many subwavelets under multiscale and multiorientation. Secondly, we gave weighted factor to those subwavelets obtained. Then, using classical Shearlet inverse transform, we obtained a composite image which is composed of those weighted subwavelets. After that, we designed fast and rough evaluation method to evaluate noise level of the new image; by using this method as fitness, we adopted PSO to find the optimal weighted factor we added; after lots of iterations, by the optimal factors and Shearlet inverse transform, we got the best denoised image. Experimental results have shown that proposed algorithmeliminates noise effectively and yields good peak signal noise ratio (PSNR).
机译：数字图像总是被噪声污染，并使数据后处理变得困难。为了最大限度地消除噪声并保留图像细节，提出了结合Shearlet变换和粒子群优化（PSO）算法的优点的图像滤波算法。首先，我们使用经典的Shearlet变换将噪声图像在多尺度和多方向下分解为许多子小波。其次，我们对获得的那些子小波进行加权。然后，使用经典的Shearlet逆变换，获得了由那些加权子小波组成的合成图像。之后，我们设计了快速粗略的评估方法来评估新图像的噪声水平；通过将此方法用作适应度，我们采用PSO来找到添加的最佳加权因子；经过多次迭代，通过最优因子和Shearlet逆变换，我们得到了最佳去噪图像。实验结果表明，该算法可以有效地消除噪声，并产生良好的峰值信噪比（PSNR）。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第20期|414561.1-414561.9|共9页
  • 作者

    Hu Kai; Song Aiguo; Xia Min; Fan Zhiyong; Chen Xiaoying; Zhang Ruidong; Zheng Zhichen;

  • 作者单位

    Nanjing Univ Informat Sci & Technol, Nanjing 210044, Jiangsu, Peoples R China|Southeast Univ, Nanjing 210000, Jiangsu, Peoples R China;

    Southeast Univ, Nanjing 210000, Jiangsu, Peoples R China;

    Nanjing Univ Informat Sci & Technol, Nanjing 210044, Jiangsu, Peoples R China;

    Nanjing Univ Informat Sci & Technol, Nanjing 210044, Jiangsu, Peoples R China;

    PLA Univ Sci & Technol, Nanjing 210000, Jiangsu, Peoples R China;

    Nanjing Univ Informat Sci & Technol, Nanjing 210044, Jiangsu, Peoples R China;

    Nanjing Univ Informat Sci & Technol, Nanjing 210044, Jiangsu, Peoples R China;

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