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Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface

Author

Listed:
  • Tang Ruiyin

    (School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, China)

  • Liu Bo

    (School of Electrical Engineering, North China University of Science and Technology, Tangshan 063210, China)

Abstract

Combined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of the light band was obtained by the gray centroid method, and the center of the light band was enhanced by the fractional differential algorithm. Three samples of hard disk substrate, roller, and printed circuit board were selected. The traditional processing was compared to the fractional differential algorithm in this paper, and several advanced algorithms were compared with the algorithm in this paper. Experimental data showed that fractional differential enhancement can effectively improve the accuracy of extracting the center of light fringes. It can be found that the average error of extracting the center by fractional differential processing was relatively small, and the image outline was clearer.

Suggested Citation

  • Tang Ruiyin & Liu Bo, 2023. "Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface," Mathematics, MDPI, vol. 11(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:444-:d:1035625
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    References listed on IDEAS

    as
    1. Chen, Dali & Chen, YangQuan & Xue, Dingyu, 2015. "Fractional-order total variation image denoising based on proximity algorithm," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 537-545.
    2. Yang Chen & Yinsheng Li & Hong Guo & Yining Hu & Limin Luo & Xindao Yin & Jianping Gu & Christine Toumoulin, 2012. "CT Metal Artifact Reduction Method Based on Improved Image Segmentation and Sinogram In-Painting," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-18, August.
    3. Chaobang Gao & Jiliu Zhou & Weihua Zhang, 2012. "Fractional Directional Differentiation and Its Application for Multiscale Texture Enhancement," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-26, September.
    Full references (including those not matched with items on IDEAS)

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