## Kaiqun Hu* and Xin Feng*## |

Method | IE | MI | PSNR | [TeX:] $$\mathcal { Q } ^ { A B / F }$$ | T/s | |

Group 1 | LSWT | 5.7632 | 3.6581 | 4.6526 | 0.6238 | 25 |

NSCT | 5.8526 | 3.5927 | 4.7629 | 0.6765 | 657 | |

Shearlet | 5.8322 | 3.3245 | 4.6737 | 0.6863 | 401 | |

The proposed | 6.0627 | 3.3639 | 4.8936 | 0.7023 | 104 | |

Group 2 | LSWT | 4.6720 | 3.0576 | 4.5235 | 0.6023 | 31 |

NSCT | 4.7331 | 3.0227 | 4.6598 | 0.6365 | 697 | |

Shearlet | 4.7236 | 2.9126 | 4.5226 | 0.6322 | 485 | |

The proposed | 4.8597 | 2.8201 | 4.7289 | 0.6897 | 168 |

In this paper, aiming at the characteristics of the focused image, an improved fusion method is proposed. Firstly, Lifting Stationary Wavelet Transform is used to obtain the initial fused image quickly. After the simple normalized cut of the initial fused image, the sum of the absolute values of the coefficients of the NSCT transform is selected as the fusion rule. The experimental results show that this method will not lose the sharpness and avoid the complex selection of the fusion rules, which is effective.

The paper is supported by Chongqing Municipal Education Commission Foundation and Frontier Research Project (No. KJ1500635), The National Natural Science Fund of China (No. 31501229), Initial Scientific Research Fund of Young Teachers in Chongqing Technology and Business University (No. 2013-56-06), Chongqing Nature Science Foundation for Fundamental Science and Frontier Technologies (csct2015jcyjA40014, cstc2018jcyjAX0483).

- 1 B. Liu, W. Liu, "Multi-focus image fusion based on three channel nonseparable symmetrical wavelets,"
*and J. Ma Chinese Journal of Scientific Instrument, 2012*, vol. 33, no. 5, pp. 1110-1116. custom:[[[-]]] - 2 G. Wang, M. Z. Ma, Y. L. Zhao, Q. Ma, L. Xiao, A. He, "Algorithm for image fusion in the curvelet transform domain,"
*Chinese Journal of Scientific Instrument, 2008*, vol. 29, no. 9, pp. 1841-1845. custom:[[[-]]] - 3 S. Li, B. Yang, J. Hu, "Performance comparison of different multi-resolution transforms for image fusion,"
*Information Fusion, 2011*, vol. 12, no. 2, pp. 74-84. doi:[[[10.1016/j.inffus.2010.03.002]]] - 4 L. Demanet, L. Ying, "Wave atoms and sparsity of oscillatory patterns,"
*Applied and Computational Harmonic Analysis, 2007*, vol. 23, no. 3, pp. 368-387. doi:[[[10.1016/j.acha.2007.03.003]]] - 5 H. Zheng, C. Zheng, X. Yan, "Visible and infrared image fusion algorithm based on shearlet transform,"
*and H. Chen Chinese Journal of Scientific Instrument, 2012*, vol. 33, no. 7, pp. 1613-1619. custom:[[[-]]] - 6 W. Zhang, Q. Huang, Z. Wang, "The fusion of remote sensing images based on lifting wavelet transformation,"
*Computer and Information Science, 2009*, vol. 2, no. 1, pp. 69-75. doi:[[[10.5539/cis.v2n1p69]]] - 7 T. Cour, F. Benezit, J. Shi, "Spectral segmentation with multiscale graph decomposition," in
*Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition*, San Diego, CA, 2005;pp. 1124-1131. doi:[[[10.1109/CVPR.2005.332]]] - 8 Q. Miao, C. Shi, P. Xu, M. Yang, Y. Shi, "Multi-focus image fusion algorithm based on shearlets,"
*Chinese Optics Lettersarticle no. 041001, 2011*, vol. 9, no. article 041001. doi:[[[10.3788/col20110904.041001]]] - 9 G. Qu, D. Zhang, P. Yan, "Information measure for performance of image fusion,"
*Electronics Letters, 2002*, vol. 38, no. 7, pp. 313-315. doi:[[[10.1049/el:20020212]]]