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Open Journal of Image Processing and Computer Vision

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ArticleOpen Access http://dx.doi.org/10.26855/ojipcv.2026.12.002

Denoising of Two-dimensional Fractional Fourier Transform Images Based on Windowing

Siling Lei, Zijie Xu, Bing Guo

1College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan, China.

2College of Communication and Electronic Engineering, Jishou University, Jishou 416000, Hunan, China.

*Corresponding author: Siling Lei

Published: July 24, 2026

Abstract

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. 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.

Keyword

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

References

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Copyright

© 2026 by the author(s).
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license, which permits non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited and is not modified or adapted.
https://creativecommons.org/licenses/by-nc-nd/4.0/

How to cite this paper

Denoising of Two-dimensional Fractional Fourier Transform Images Based on Windowing

How to cite this paper: Siling Lei, Zijie Xu, Bing Guo. (2026). Denoising of Two-dimensional Fractional Fourier Transform Images Based on Windowing. Open Journal of Image Processing and Computer Vision1(1), 6-12.

DOI: http://dx.doi.org/10.26855/ojipcv.2026.12.002