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