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Multi-Focus Image Fusion via PAPCNN and Fractal Dimension in NSST Domain

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  • Ming Lv

    (College of Information Science and Engineering, Xinjiang University, Urumqi 830046, China
    Key Laboratory of Signal Detection and Processing, Xinjiang University, Urumqi 830046, China)

  • Zhenhong Jia

    (College of Information Science and Engineering, Xinjiang University, Urumqi 830046, China
    Key Laboratory of Signal Detection and Processing, Xinjiang University, Urumqi 830046, China)

  • Liangliang Li

    (School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China)

  • Hongbing Ma

    (Department of Electronic Engineering, Tsinghua University, Beijing 100084, China)

Abstract

Multi-focus image fusion is a popular technique for generating a full-focus image, where all objects in the scene are clear. In order to achieve a clearer and fully focused fusion effect, in this paper, the multi-focus image fusion method based on the parameter-adaptive pulse-coupled neural network and fractal dimension in the nonsubsampled shearlet transform domain was developed. The parameter-adaptive pulse coupled neural network-based fusion rule was used to merge the low-frequency sub-bands, and the fractal dimension-based fusion rule via the multi-scale morphological gradient was used to merge the high-frequency sub-bands. The inverse nonsubsampled shearlet transform was used to reconstruct the fused coefficients, and the final fused multi-focus image was generated. We conducted comprehensive evaluations of our algorithm using the public Lytro dataset. The proposed method was compared with state-of-the-art fusion algorithms, including traditional and deep-learning-based approaches. The quantitative and qualitative evaluations demonstrated that our method outperformed other fusion algorithms, as evidenced by the metrics data such as Q A B / F , Q E , Q F M I , Q G , Q N C I E , Q P , Q M I , Q N M I , Q Y , Q A G , Q P S N R , and Q M S E . These results highlight the clear advantages of our proposed technique in multi-focus image fusion, providing a significant contribution to the field.

Suggested Citation

  • Ming Lv & Zhenhong Jia & Liangliang Li & Hongbing Ma, 2023. "Multi-Focus Image Fusion via PAPCNN and Fractal Dimension in NSST Domain," Mathematics, MDPI, vol. 11(18), pages 1-23, September.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3803-:d:1233192
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    References listed on IDEAS

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    1. Ru Zhao & Jingjing Liu, 2023. "Fractional-Order Variational Image Fusion and Denoising Based on Data-Driven Tight Frame," Mathematics, MDPI, vol. 11(10), pages 1-16, May.
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