Computer Science ›› 2019, Vol. 46 ›› Issue (4): 293-299.doi: 10.11896/j.issn.1002-137X.2019.04.046

• Graphics ,Image & Pattern Recognition • Previous Articles     Next Articles

Image Fusion Using Quaternion Wavelet Transform and Copula Model

LI Kai1,2, LUO Xiao-qing1,2, ZHANG Zhan-cheng3, WANG Jun4   

  1. Jiangsu Laboratory of Pattern Recognition and Computational Intelligence,Wuxi,Jiangsu 214122,China1
    School of IoT Engineering,Jiangnan University,Wuxi,Jiangsu 214122,China2
    School of Electronics and Information Engineering,Suzhou University of Science and Technology,Suzhou,Jiangsu 215000,China3
    School of Digital Media,Jiangnan University,Wuxi,Jiangsu 214122,China4
  • Received:2018-06-01 Online:2019-04-15 Published:2019-04-23

Abstract: Quaternion wavelet transform (QWT) is a new multi-scale transform tool which can provide both amplitude and phase information.In this paper,copula model is used to capture the correlation of QWT coefficients,and a novel image fusion method based on QWT and Copula modelwas proposed.First,QWT is performed on the source images.Second,the dependency among the magnitude-phase of high frequency subbands and the corresponding phase of low frequency phase is established by Copula models.Next,a choose-max fusion rule based on the comprehensive feature constructed by the regional energy of Copula joint probability density,the gradient of phases,the QWT coefficient energy and the local contrast,is proposed for high frequency subbands.A choose-max fusion rule based on the comprehensive feature constructed by gradient and local variance of low frequency phases is proposed for low frequency subbands.Finally,the fusion image is obtained by inverse QWT.Experimental results demonstrate that the performance of the proposed method is superior to the traditional fusion methods.

Key words: Copula model, Image fusion, Magnitude-phase, Quaternions wavelet transform

CLC Number: 

  • TP391
[1]YONG Y,LEI W,HUANG S,et al.Remote Sensing Image Fusion Based on Adaptively Weighted Joint Detail Injection[J].IEEE Access,2018,6(99):6849-6864.
[2]ZHAO W,LU H,DONG W.Multisensor Image Fusion and Enhancement in Spectral Total Variation Domain[J].IEEE Tran-sactions on Multimedia,2018,20(4):866-879.
[3]MISHRA A,MAHAPATRA S,BANERJEE S.Modified Frei-Chen Operator-Based Infrared and Visible Sensor Image Fusion for Real-Time Applications[J].IEEE Sensors Journal,2017,17(14):4639-4646.
[4]ARDESHIR G A,NIKOLOV S.Image fusion:Advances in the state of the art[J].Information Fusion,2007,8(2):114-118.
[5]MS E V,R V,K M,et al.A Novel Technique for Optimizing Panchromatic and Multispectral image fusion using Discrete Wavelet Transform[J].International Journal of Engineering & Techno-logy,2018,10(1):247-260.
[6]CHOI H H,LEE J H,KIM S M,et al.Speckle noise reduction in ultrasound images using a discrete wavelet transform-based image fusion technique[J].Bio-medical Materials and Enginee-ring,2015,1(s1):1587-1597.
[7]KANSAL I,KASANA S S.Fusion based Image De-fogging using Dual Tree Complex Wavelet Transform[J].International Journal of Wavelets Multiresolution & Information Processing,2018,16(6):276-291.
[8]IQBAL N,SALEEM S,JEHAN W S,et al.Reduction of speckle noise in medical images using stationary wavelet transform and fuzzy logic[C]∥International Symposium on Recent Advances in Electrical Engineering.New York:IEEE,2017:1-6.
[9]NENCINI F,GARZELLI A,BARONTI S,et al.Remote sensing image fusion using the curvelet transform[J].Information Fusion,2007,8(2):143-156.
[10]CHAN W L,CHOI H,BARANIUK R G,et al.Quaternion Wavelets for Image Analysis and Processing[C]∥International Conference on Image Processing.New York:IEEE,2006:34-56.
[11]SOULARD R,CARRÉ P.Quaternionic wavelets for texture classification[J].Pattern Recognition Letters,2011,32(13):1669-1678.
[12]LIU Y,JIN J,WANG Q,et al.Phases measure of image sharpness based on quaternion wavelet[J].Pattern Recognition Letters,2013,34(9):1063-1070.
[13]LIU Y P.Image processing and application based on quaternion wavelet transform[D].Harbin:HIT Harbin Institute of Technology,2014.(in Chinese) 刘义鹏.四元数小波域图像处理及其应用研究[D].哈尔滨:哈尔滨工业大学,2014.
[14]CROUSE M S,BARANIUK R G.Contextual hidden Markov models for wavelet-domain signal processing ∥Asiloman Conference on .New York:IEEE,2006:67-90.
[15]ZHANG X,LIU C,MEN T,et al.Infrared and visible image fusion using NSCT and GGD[J].Proceedings of SPIE- The International Society for Optical Engineering,2011,8009(4):80090-80094.
[16]LIN Z X.An Improved Algorithm of Wavelet Image De-Noising Based on Threshold Function[J].Advanced Materials Research,2013,7(3):1674-1678.
[17]SAKJI-NSIBI S,BENAZZA-BENYAHIA A.Copula-based statistical models for multicomponent image retrieval in thewavelet transform domain[C]∥IEEE International Conference on Image Processing.New York:IEEE,2010:253-256.
[18]PORTILLA J,SIMONCELLI E P.Texture Modeling and Synthesis using Joint Statistics of Complex Wavelet Coecients[J].IEEE Workshop on Statistical & Computational Theories of Vision Fort Collins,1999,7(6):324-371.
[19]KWITT R,MEERWALD P,UHL A.Efficient texture image retrieval using copulas in a Bayesian framework[J].IEEE Tran-sactions on Image Processing,2011,20(7):2063-2077.
[20]SKLAR M.Fonctions de Répartition à N Dimensions Et Leurs Marges[J].Publ.inst.statist.univ.paris,1959,8(2):229-231.
[21]PAPAEFTHYMIOU G,KUROWICKA D.Using Copulas for Modeling Stochastic Dependence in Power System Uncertainty Analysis[J].IEEE Transactions on Power Systems,2009,24(1):40-56.
[22]LI C,LI J,FU B.Magnitude-Phase of Quaternion Wavelet Transform for Texture Representation Using Multilevel Copula[J].IEEE Signal Processing Letters,2013,20(8):799-802.
[23]LIU Y,LIU S,WANG Z.A general framework for image fusion based on multi-scale transform and sparse representation[J].Information Fusion,2015,24(1):147-164.
[24]BHATNAGAR G,WU Q M J,LIU Z.Directive Contrast Based Multimodal Medical Image Fusion in NSCT Domain[J].IEEE Transactions on Multimedia,2013,15(5):1014-1024.
[25]HAHN S,SNOPEK K.The unified theory of n-dimensional complex and hypercomplex analytic signals[J].Bulletin of the Polish Academy of Sciences Technical Sciences,2011,59(2):167-181.
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