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

Xue-feng ZHANG; Hui YAN; Hao HE

doi:10.1631/FITEE.1900737

Your Location：

Home >

Browse articles >

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

Special Feature on New Trends in Fractional Calculus for Information Science | Updated：2022-05-19

- Multi-focus image fusion based on fractional-order derivative and intuitionistic fuzzy sets
- 基于分数阶导数和直觉模糊集的多聚焦图像融合
- Frontiers of Information Technology & Electronic Engineering Vol. 21, Issue 6, Pages: 834-843(2020)
- Affiliations：
  
  School of Sciences, Northeastern University, Shenyang 110819, China
- Author bio：
  
  Xue-feng ZHANG, E-mail: zhangxuefeng@mail.neu.edu.cn
- Funds：
- DOI：10.1631/FITEE.1900737
  CLC： TP302.4
- Received：28 December 2019，
  
  Revised：2020-;3-26，
  
  Published：2020-06
- Accepted：
Scan QR Code
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.
DOI：

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. DOI： 10.1631/FITEE.1900737.

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。

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.

关键词

Keywords

references

KT Atanassov . . Intuitionistic fuzzy sets . . Fuzzy Sets Syst , , 1986 . . 20 ( ( 1 ): ): 87 - - 96 . . DOI: 10.1016/S0165-0114(86)80034-3 http://doi.org/10.1016/S0165-0114(86)80034-3 . .

A Azarang , , , H Ghassemian . . Application of fractional-order differentiation in multispectral image fusion . . Remote Sens Lett , , 2018 . . 9 ( ( 1 ): ): 91 - - 100 . . DOI: 10.1080/2150704X.2017.1395963 http://doi.org/10.1080/2150704X.2017.1395963 . .

J Bai , , , XC Feng . . Fractional-order anisotropic diffusion for image denoising . . IEEE Trans Image Process , , 2007 . . 16 ( ( 10 ): ): 2492 - - 2502 . . DOI: 10.1109/TIP.2007.904971 http://doi.org/10.1109/TIP.2007.904971 . .

P Balasubramaniam , , , VP Ananthi . . Image fusion using intuitionistic fuzzy sets . . Inform Fus , , 2014 . . 20 21 - - 30 . . DOI: 10.1016/j.inffus.2013.10.011 http://doi.org/10.1016/j.inffus.2013.10.011 . .

D Baleanu , , , GC Wu . . Some further results of the Laplace transform for variable-order fractional difference equations . . Fract Calc Appl Anal , , 2019 . . 22 ( ( 6 ): ): 180 - - 192 . . DOI: 10.1515/fca-2019-0084 http://doi.org/10.1515/fca-2019-0084 . .

DL Chen , , , YQ Chen , , , DY Xue . . Fractional-order total variation image denoising based on proximity algorithm . . Appl Math Comput , , 2015 . . 257 537 - - 545 . . DOI: 10.1016/j.amc.2015.01.012 http://doi.org/10.1016/j.amc.2015.01.012 . .

Y Chen , , , Z Qin . . Gradient-based compressive image fusion . . Front Inform Technol Electron Eng , , 2015 . . 16 ( ( 3 ): ): 227 - - 237 . . DOI: 10.1631/FITEE.1400217 http://doi.org/10.1631/FITEE.1400217 . .

AM Eskicioglu , , , PS Fisher . . Image quality measures and their performance . . IEEE Trans Commun , , 1995 . . 43 ( ( 12 ): ): 2959 - - 2965 . . DOI: 10.1109/26.477498 http://doi.org/10.1109/26.477498 . .

W Huang , , , ZL Jing . . Multi-focus image fusion using pulse coupled neural network . . Patt Recogn Lett , , 2007 . . 28 ( ( 9 ): ): 1123 - - 1132 . . DOI: 10.1016/j.patrec.2007.01.013 http://doi.org/10.1016/j.patrec.2007.01.013 . .

ST Li , , , B Yang . . Multifocus image fusion using region segmentation and spatial frequency . . Image Vis Comput , , 2008 . . 26 ( ( 7 ): ): 971 - - 979 . . DOI: 10.1016/j.imavis.2007.10.012 http://doi.org/10.1016/j.imavis.2007.10.012 . .

ST Li , , , JT Kwok , , , YN Wang . . Combination of images with diverse focuses using the spatial frequency . . Inform Fus , , 2001 . . 2 ( ( 3 ): ): 169 - - 176 . . DOI: 10.1016/s1566-2535(01)00038-0 http://doi.org/10.1016/s1566-2535(01)00038-0 . .

ST Li , , , XD Kang , , , JW Hu . . Image fusion with guided filtering . . IEEE Trans Image Process , , 2013 . . 22 ( ( 7 ): ): 2864 - - 2875 . . DOI: 10.1109/TIP.2013.2244222 http://doi.org/10.1109/TIP.2013.2244222 . .

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

T Pu , , , GQ Ni . . Contrast-based image fusion using the discrete wavelet transform . . Opt Eng , , 2000 . . 39 ( ( 8 ): ): 2075 - - 2082 . . DOI: 10.1117/1.1303728 http://doi.org/10.1117/1.1303728 . .

YF Pu , , , WX Wang . . Fractional differential masks of digital image and their numerical implementation algorithms . . Acta Autom Sin , , 2007 . . 33 ( ( 11 ): ): 1128 - - 1135 . . http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdhxb200711002 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdhxb200711002 , , . .

YF Pu , , , JL Zhou , , , X Yuan , , , 等 . . Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement . . IEEE Trans Image Process , , 2010 . . 19 ( ( 2 ): ): 491 - - 511 . . DOI: 10.1109/TIP.2009.2035980 http://doi.org/10.1109/TIP.2009.2035980 . .

R Tao , , , B Deng , , , Y Wang . . Research progress of the fractional Fourier transform in signal processing . . Sci China Ser F , , 2006 . . 49 ( ( 1 ): ): 1 - - 25 . . DOI: 10.1007/s11432-005-0240-y http://doi.org/10.1007/s11432-005-0240-y . .

GC Wu , , , ZG Deng , , , D Baleanu , , , 等 . . New variable-order fractional chaotic systems for fast image encryption . . Chaos , , 2019 . . 29 ( ( 8 ): ): 083103 DOI: 10.1063/1.5096645 http://doi.org/10.1063/1.5096645 . .

ZS Xu . . Intuitionistic fuzzy aggregation operators . . IEEE Trans Fuzzy Syst , , 2007 . . 15 ( ( 6 ): ): 1179 - - 1187 . . DOI: 10.1109/TFUZZ.2006.890678 http://doi.org/10.1109/TFUZZ.2006.890678 . .

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

Y Yang , , , Y Que , , , SY Huang , , , 等 . . Multimodal sensor medical image fusion based on type-2 fuzzy logic in NSCT domain . . IEEE Sens J , , 2016 . . 16 ( ( 10 ): ): 3735 - - 3745 . . DOI: 10.1109/JSEN.2016.2533864 http://doi.org/10.1109/JSEN.2016.2533864 . .

LA Zadeh . . Fuzzy sets . . Inform Contr , , 1965 . . 8 ( ( 3 ): ): 338 - - 353 . . DOI: 10.1016/S0019-9958(65)90241-X http://doi.org/10.1016/S0019-9958(65)90241-X . .

L Zhang , , , P Liu , , , YL Liu , , , 等 . . 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) , , 2010 . . 11 ( ( 5 ): ): 365 - - 374 . . DOI: 10.1631/jzus.C0910344 http://doi.org/10.1631/jzus.C0910344 . .

XF Zhang , , , YQ Chen . . Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order α : the 0 < α < 1 case . . ISA Trans , , 2018 . . 82 42 - - 50 . . DOI: 10.1016/j.isatra.2017.03.008 http://doi.org/10.1016/j.isatra.2017.03.008 . .

K Zhu , , , G Liu , , , L Zhao , , , 等 . . Label fusion for segmentation via patch based on local weighted voting . . Front Inform Technol Electron Eng , , 2017 . . 18 ( ( 5 ): ): 680 - - 688 . . DOI: 10.1631/FITEE.1500457 http://doi.org/10.1631/FITEE.1500457 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Gradient-based compressive image fusion*

Related Author

Chen Yang

Qin Zheng

Related Institution

Department of Computer Science & Technology, Tsinghua University

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰