基于四通道不可分加性小波的多聚焦图像融合
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摘要
针对张量积小波不具有对称性,在图像融合中难以获得高空间分辨率图像的问题,文中利用伸缩矩阵为[2,0;0,2]的不可分小波的构造方法构造四通道6×6对称的不可分小波滤波器组,并把它应用于多聚焦图像的融合中。利用此类滤波器组中的低通滤波器对多聚焦图像进行加性小波分解,得到小波平面组,然后利用融合规则对分解后的小波平面进行融合。实验结果表明,该方法有较好的融合效果,融合结果图像具有较高的清晰度和空间分辨率,其融合性能优于拉普拉斯金字塔融合方法(基于LP的融合方法)、基于小波分解的融合方法(基于DWT的融合方法)和基于三通道不可分对称小波的融合方法(基于3-NSDWT的融合方法)。
In order to solve the problem that separable wavelets are not symmetry and cannot get high spatial resolution image,this paper constructed four channel 6 × 6 filter banks by using the method of non-separable wavelet transform which the dilation matrix is [2,0;0,2] and presented a multi-focus image fusion method based on this kind filter bank.The multifocus images are decomposed through additive wavelet mode by using the low-pass filter of the filter bank,and then the wavelet planes are obtained.Then the fusion rules are used to fuse the decomposed wavelet plane.The experiment results show that this method has better fusion effect in the high definition and spatial resolution.This fusion performance outperforms the Laplacian pyramid fusion method,the fusion method based on the wavelet decomposition and the fusion method based on three channel non-separable symmetric wavelet.
In order to solve the problem that separable wavelets are not symmetry and cannot get high spatial resolution image,this paper constructed four channel 6 × 6 filter banks by using the method of non-separable wavelet transform which the dilation matrix is [2,0;0,2] and presented a multi-focus image fusion method based on this kind filter bank.The multifocus images are decomposed through additive wavelet mode by using the low-pass filter of the filter bank,and then the wavelet planes are obtained.Then the fusion rules are used to fuse the decomposed wavelet plane.The experiment results show that this method has better fusion effect in the high definition and spatial resolution.This fusion performance outperforms the Laplacian pyramid fusion method,the fusion method based on the wavelet decomposition and the fusion method based on three channel non-separable symmetric wavelet.
引文
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[22] LUO H B.Based on the digital image fusion research of laplacian pyramid[J].Automation & Instrumentation,2014(3):27-28.(in Chinese)罗鸿斌.基于拉普拉高斯金字塔的数字图像融合研究[J].自动化与仪器仪表,2014(3):27-28.
[2] FARID M S,MAHMOOD A,AL-MAADEED S A.Multi-focus Image Fusion Using Content Adaptive Blurring[J].Information Fusion,2018,45:96-112.
[3] XU H,WANG Y,WU Y,et al.Infrared and multi-type images fusion algorithm based on contrast pyramid transform[J].Infrared Physics & Technology,2016,78:133-146.
[4] MENG Q Q,YANG G,TONG T,et al.Fusion algorithm of multifocus images based on wavelet transform[J].Remote Sen-sing for Land & Resources,2014,26(2):38-42.(in Chinese)孟强强,杨桄,童涛,等.基于小波变换的多聚焦图像融合算法[J].国土资源遥感,2014,26(2):38-42.
[5] JIANG Q,JIN X,LEE S J,et al.A Novel Multi-focus Image Fusion Method Based on Stationary Wavelet Transform and Local Features of Fuzzy Sets[J].IEEE Access,2017,5:1.
[6] YANG D,SHAOHAI H U,LIU S,et al.Multi-focus image fusion based on block matching in 3D transform domain[J].Journal of Systems Engineering and Electronics,2018,29(2):415-428.
[7] ZHANG Y,BAI X,WANG T.Boundary finding based multi-focus image fusion through multi-scale morphological focus-mea-sure[J].Information Fusion,2017,35:81-101.
[8] YANG Y,TONG S,HUANG S,et al.A Hybrid Method for Multi-Focus Image Fusion Based on Fast Discrete Curvelet Transform[J].IEEE Access,2017,5(99):14898-14913.
[9] LI S,YANG B.Multifocus image fusion by combining curvelet and wavelet transform [J].Pattern Recognition Letters,2008,29(9):1295-1301.
[10] LI H,CHAI Y,LI Z.Multi-focus image fusion based on nonsubsampled contourlet transform and focused regions detection[J].Optik-International Journal for Light and Electron Optics,2013,124(1):40-51.
[11] CHAI Y,LI H F,GUO M Y.Multifocus image fusion scheme based on features of multiscale products and PCNN in lifting stationary wavelet domain[J].Optics Communications,2011,284(5):1146-1158.
[12] LIU B,FU Z W.Multi-focus image fusion based on four-channel non-separable lifting wavelet[J].Systems Engineering & Electronics,2018,40(2):463-471.(in Chinese)刘斌,付忠旺.基于四通道不可分提升小波的多聚焦图像融合[J].系统工程与电子技术,2018,40(2):463-471.
[13] LIU B,LIU W J,MA J L.Multi-focus image fusion based on three channel nonseparable symmetrical wavelets[J].Chinese Journal of Scientific Instrument,2012,33(5):1110-1116.(in Chinese)刘斌,刘维杰,马嘉利.基于三通道不可分对称小波的多聚焦图像融合[J].仪器仪表学报,2012,33(5):1110-1116.
[14] XU Y M.Study on Multi-Focus Image Fusion Based on Multi-Scale Transform[D].Xuzhou:China University of Mining and Technology,2012.(in Chinese)徐月美.多尺度变换的多聚焦图像融合算法研究[D].徐州:中国矿业大学,2012.
[15] NUNEZ J,OTAZU X,FORS O,et al.Multiresolution-based image fusion with additive wavelet decomposition[J].IEEE Transactions on Geoscience & Remote Sensing,1999,37(3):1204-1211.
[16] LIU B,PENG J X.Image fusion method based on nonseparable wavelets[J].Machine Vision & Applications,2005,16(3):189-196.
[17] LIU B,PENG J X.Image Fusion Method Based on Short Support Symmetric Non-separable Wavelet[J].International Journal of Wavelets Multiresolution & Information Processing,2004,2(1):87-98.
[18] LIU B,PENG J X.Fusion Method of MultiSpectral Image and Panchromatic Image Based on Four Channels NonSeparable Additive Wavelets:Fusion Method of MultiSpectral Image and Panchromatic Image Based on Four Channels NonSeparable Additive Wavelets[J].Chinese Journal of Computers,2009,32(2):350-356.(in Chinese)刘斌,彭嘉雄.基于四通道不可分加性小波的多光谱图像融合[J].计算机学报,2009,32(2):350-356.
[19] CHEN Q,MICCHELLI C A,PENG S,et al.Multivariate Filter Banks Having Matrix Factorizations[J].Siam Journal on Matrix Analysis & Applications,2004,25(2):517-531.
[20] LI S,YANG B,HU J.Performance comparison of different multi-resolution transforms for image fusion [J].Information Fusion,2011,12(2):74-84.
[21] CAI Z S,CHEN M S.Study on Multi-Focus Image Fusion Method Based on Wavelet Transfrom[J].Laser & Optoelectronics Progress,2015,52(9):117-121.(in Chinese)蔡植善,陈木生.基于小波变换的多聚焦图像融合方法研究[J].激光与光电子学进展,2015,52(9):117-121.
[22] LUO H B.Based on the digital image fusion research of laplacian pyramid[J].Automation & Instrumentation,2014(3):27-28.(in Chinese)罗鸿斌.基于拉普拉高斯金字塔的数字图像融合研究[J].自动化与仪器仪表,2014(3):27-28.
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