计算机与现代化

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RiemannLiouville分数阶积分的图像去噪算法

  

  1. 江苏开放大学信息与机电工程学院,江苏南京210019
  • 收稿日期:2015-12-11 出版日期:2016-05-24 发布日期:2016-05-25
  • 作者简介:勾荣(1977-),女,陕西西安人,江苏开放大学信息与机电工程学院副教授,硕士,研究方向:数字图像处理,FPGA嵌入式设计。
  • 基金资助:
    江苏开放大学(江苏城市职业学院)“十二五”2013年度规划课题(13SEW-Y-013)

An Image Denoising Algorithm of RiemannLiouville Fractional Integral

  1. College of Information, Mechanical and Electrical Engineering, Jiangsu Open University, Nanjing 210019, China
  • Received:2015-12-11 Online:2016-05-24 Published:2016-05-25

摘要: 传统图像去噪算法易丢失图像边缘和纹理细节,使图像模糊不清,为后续图像分析处理带来困难。为克服传统图像去噪算法的缺点,根据RiemannLiouville分数阶积分,构造一种分数阶积分掩膜算子,对测试图像进行图像去噪仿真实验。同时,引入客观评价标准峰值信噪比和灰度共生矩阵,对分数阶积分掩膜算子的去噪效果进行分析。结果表明,不同于传统图像去噪算法,该分数阶积分掩膜算子可在去除图像噪声的同时,有效保留图像的边缘和纹理细节信息。

关键词: 分数阶积分, 图像去噪, RiemannLiouville, 峰值信噪比, 灰度共生矩阵

Abstract: Traditional image denoising algorithms usually lose the image edge and texture information. This can make the image blurred and bring difficulty for the subsequent image processing. To avoid these shortcomings, a mask operator which based on the RiemannLiouville definition of the fractional integral was proposed and experimented with the test image. Meanwhile, the definition of the PSNR and the GLCM was introduced to analyze the experiment result. The experiment results show that, different from the traditional image denoising algorithms, the image denoising algorithm of the fractional integral can denoise image and keep the image edge and texture information effectively.

Key words: fractional integral, image denoising, RiemannLiouville, PSNR, GLCM

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