Advances in International Applied Mathematics

In this paper, two-dimensional windowed fractional Fourier transform for image denoising is proposed to address the loss of detail and edge information, which is caused by image processing technology in filtering process. Firstly, window function is used to protect the texture details and edges of the image. Secondly, the spectrum of the windowed image is presented by two-dimensional fractional Fourier transform, and obtain the maximum spectral energy by the selecting the optimal transformation order, which is given by the two-dimensional search algorithm. Thirdly, we compare proposed denoising algorithm with three traditional ones through experiments. the denoising effect of the image is verified through Peak Signal to Noise Ratio (PSNR), and the Soble operator is used for edge detection to evaluate the edge preservation ability. The experimental results show that windowed two-dimensional fractional Fourier transform for image processing has better retention ability for complex detail information and texture features, and improves the visual quality and clarity of the image.

Add windows; Two-dimensional fractional Fourier transform; Spectral energy; Edge detection