Abstract
Given that the existing image denoising methods damage the texture details of an image, a new method based on fractional integration is proposed. First, the fractional-order integral formula is deduced by generalizing the Cauchy integral, and then the approximate value of the fractional-order integral operator is estimated by a numerical method. Finally, a fractional-order integral mask operator of any order is constructed in eight pixel directions of the image. Simulation results show that the proposed image denoising method can protect the edge texture information of the image while removing the noise. Moreover, this method can obtain higher image feature values and better image vision after denoising than the existing denoising methods, because a texture protection mechanism is adopted during the iterative processing.
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Project supported by the National Natural Science Foundation of China (No. 61201438), the Key Project of Education Department of Sichuan Province, China (No. 18ZA0235), the Research Fund of Key Laboratory of Internet Natural Language Processing of Sichuan Education Department, China (No. INLP201904), and the Research Fund of Leshan Normal University, China (No. LZD003)
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Li XU designed the research and drafted the manuscript. Guo HUANG and Qing-li CHEN processed the data. Guo HUANG, Hong-yin QIN, Tao MEN, and Yi-fei PU helped organize the manuscript. Li XU and Guo HUANG revised and finalized the paper.
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Li XU, Guo HUANG, Qing-li CHEN, Hong-yin QIN, Tao MEN, and Yi-fei PU declare that they have no conflict of interest.
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Xu, L., Huang, G., Chen, Ql. et al. An improved method for image denoising based on fractional-order integration. Front Inform Technol Electron Eng 21, 1485–1493 (2020). https://doi.org/10.1631/FITEE.1900727
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DOI: https://doi.org/10.1631/FITEE.1900727