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CLC number: TP302.4

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2020-03-26

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Xue-feng Zhang

https://orcid.org/0000-0002-2831-5747

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Frontiers of Information Technology & Electronic Engineering  2020 Vol.21 No.6 P.834-843

http://doi.org/10.1631/FITEE.1900737


Multi-focus image fusion based on fractional-order derivative and intuitionistic fuzzy sets


Author(s):  Xue-feng Zhang, Hui Yan, Hao He

Affiliation(s):  School of Sciences, Northeastern University, Shenyang 110819, China

Corresponding email(s):   zhangxuefeng@mail.neu.edu.cn

Key Words:  Image fusion, Fractional-order derivative, Intuitionistic fuzzy sets, Multi-focus images


Xue-feng Zhang, Hui Yan, Hao He. Multi-focus image fusion based on fractional-order derivative and intuitionistic fuzzy sets[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(6): 834-843.

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Abstract: 
Multi-focus image fusion is an increasingly important component in image fusion, and it plays a key role in imaging. In this paper, we put forward a novel multi-focus image fusion method which employs fractional-order derivative and intuitionistic fuzzy sets. The original image is decomposed into a base layer and a detail layer. Furthermore, a new fractional-order spatial frequency is built to reflect the clarity of the image. The fractional-order spatial frequency is used as a rule for detail layers fusion, and intuitionistic fuzzy sets are introduced to fuse base layers. Experimental results demonstrate that the proposed fusion method outperforms the state-of-the-art methods for multi-focus image fusion.

基于分数阶导数和直觉模糊集的多聚焦图像融合

张雪峰,闫慧,何昊
东北大学理学院,中国沈阳市,110819

摘要:多聚焦图像融合在图像融合中日益重要,在图像处理中扮演着关键角色。本文提出一种基于分数阶导数和直觉模糊集的多聚焦图像融合方法。其将原始图像分解为基础层和细节层,建立一个新的分数阶空间频率来反映图像清晰度。采用分数阶空间频率作为细节层融合准则,并引入直觉模糊集对基础层进行融合。实验结果表明,该方法在多聚焦图像融合方面优于已有先进方法。

关键词:图像融合;分数阶导数;直觉模糊集;多聚焦图像

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Reference

[1]Atanassov KT, 1986. Intuitionistic fuzzy sets. Fuzzy Sets Syst, 20(1):87-96.

[2]Azarang A, Ghassemian H, 2018. Application of fractional-order differentiation in multispectral image fusion. Remote Sens Lett, 9(1):91-100.

[3]Bai J, Feng XC, 2007. Fractional-order anisotropic diffusion for image denoising. IEEE Trans Image Process, 16(10):2492-2502.

[4]Balasubramaniam P, Ananthi VP, 2014. Image fusion using intuitionistic fuzzy sets. Inform Fus, 20:21-30.

[5]Baleanu D, Wu GC, 2019. Some further results of the Laplace transform for variable-order fractional difference equations. Fract Calc Appl Anal, 22(6):180-192.

[6]Chen DL, Chen YQ, Xue DY, 2015. Fractional-order total variation image denoising based on proximity algorithm. Appl Math Comput, 257:537-545.

[7]Chen Y, Qin Z, 2015. Gradient-based compressive image fusion. Front Inform Technol Electron Eng, 16(3):227-237.

[8]Eskicioglu AM, Fisher PS, 1995. Image quality measures and their performance. IEEE Trans Commun, 43(12):2959-2965.

[9]Huang W, Jing ZL, 2007. Multi-focus image fusion using pulse coupled neural network. Patt Recogn Lett, 28(9):1123-1132.

[10]Li ST, Yang B, 2008. Multifocus image fusion using region segmentation and spatial frequency. Image Vis Comput, 26(7):971-979.

[11]Li ST, Kwok JT, Wang YN, 2001. Combination of images with diverse focuses using the spatial frequency. Inform Fus, 2(3):169-176.

[12]Li ST, Kang XD, Hu JW, 2013. Image fusion with guided filtering. IEEE Trans Image Process, 22(7):2864-2875.

[13]Podlubny I, 1999. Fractional Differential Equations: Mathematics in Science and Engineering. Academic Press, San Diego, USA.

[14]Pu T, Ni GQ, 2000. Contrast-based image fusion using the discrete wavelet transform. Opt Eng, 39(8):2075-2082.

[15]Pu YF, Wang WX, 2007. Fractional differential masks of digital image and their numerical implementation algorithms. Acta Autom Sin, 33(11):1128-1135 (in Chinese).

[16]Pu YF, Zhou JL, Yuan X, et al., 2010. Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement. IEEE Trans Image Process, 19(2):491-511.

[17]Tao R, Deng B, Wang Y, 2006. Research progress of the fractional Fourier transform in signal processing. Sci China Ser F, 49(1):1-25.

[18]Wu GC, Deng ZG, Baleanu D, et al., 2019. New variable-order fractional chaotic systems for fast image encryption. Chaos, 29(8):083103.

[19]Xu ZS, 2007. Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst, 15(6):1179-1187.

[20]Yang B, Li ST, 2007. Multi-focus image fusion based on spatial frequency and morphological operators. Chin Opt Lett, 5(8):452-453.

[21]Yang Y, Que Y, Huang SY, et al., 2016. Multimodal sensor medical image fusion based on type-2 fuzzy logic in NSCT domain. IEEE Sens J, 16(10):3735-3745.

[22]Zadeh LA, 1965. Fuzzy sets. Inform Contr, 8(3):338-353.

[23]Zhang L, Liu P, Liu YL, et al., 2010. High quality multi-focus polychromatic composite image fusion algorithm based on filtering in frequency domain and synthesis in space domain. J Zhejiang Univ-Sci C (Comput &Electron), 11(5):365-374.

[24]Zhang XF, Chen YQ, 2018. Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order α: the 0<α<1 case. ISA Trans, 82:42-50.

[25]Zhu K, Liu G, Zhao L, et al., 2017. Label fusion for segmentation via patch based on local weighted voting. Front Inform Technol Electron Eng, 18(5):680-688.

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