
FOLLOWUS
School of Sciences, Northeastern University, Shenyang 110819, China
Xue-feng ZHANG, E-mail: zhangxuefeng@mail.neu.edu.cn
收稿:2019-12-28,
修回:2020-;3-26,
纸质出版:2020-06
Scan QR Code
张雪峰, 闫慧, 何昊. 基于分数阶导数和直觉模糊集的多聚焦图像融合[J]. 信息与电子工程前沿(英文), 2020,21(6):834-843.
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.
张雪峰, 闫慧, 何昊. 基于分数阶导数和直觉模糊集的多聚焦图像融合[J]. 信息与电子工程前沿(英文), 2020,21(6):834-843. DOI: 10.1631/FITEE.1900737.
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.
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。
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.
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 . .
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621