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

Ming Lv, Zhenhong Jia (), Liangliang Li and Hongbing Ma
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Ming Lv: College of Information Science and Engineering, Xinjiang University, Urumqi 830046, China
Zhenhong Jia: College of Information Science and Engineering, 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

Mathematics, 2023, vol. 11, issue 18, 1-23

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.

Keywords: multi-focus image; image fusion; parameter-adaptive pulse coupled neural network; fractal dimension; multi-scale morphological gradient; nonsubsampled shearlet transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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