Multi-focus image fusion: A Survey of the state of the art

Abstract Multi-focus image fusion is an effective technique to extend the depth-of-field of optical lenses by creating an all-in-focus image from a set of partially focused images of the same scene. In the last few years, great progress has been achieved in this field along with the rapid development of image representation theories and approaches such as multi-scale geometric analysis, sparse representation, deep learning, etc. This survey paper first presents a comprehensive overview of existing multi-focus image fusion methods. To keep up with the latest development in this field, a new taxonomy is introduced to classify existing methods into four main categories: transform domain methods, spatial domain methods, methods combining transform domain and spatial domain, and deep learning methods. For each category, representative fusion methods are introduced and summarized. Then, a comparative study for 18 representative fusion methods is conducted based on 30 pairs of commonly-used multi-focus images and 8 popular objective fusion metrics. All the relevant resources including source images, objective metrics and fusion results are released online, aiming to provide a benchmark for the future study of multi-focus image fusion. Finally, several major challenges remained in the current research of this field are discussed and some future prospects are put forward.

[1]  Yi Liu,et al.  Sparse representation based multi-sensor image fusion for multi-focus and multi-modality images: A review , 2018, Inf. Fusion.

[2]  Peter J. Burt,et al.  Enhanced image capture through fusion , 1993, 1993 (4th) International Conference on Computer Vision.

[3]  Yang Chen,et al.  Nonwovens structure measurement based on NSST multi-focus image fusion. , 2019, Micron.

[4]  Shuai Wang,et al.  Novel multi-focus image fusion based on PCNN and random walks , 2018, Neural Computing and Applications.

[5]  Yu Zhang,et al.  Multi-Focus Image Fusion Through Gradient- Based Decision Map Construction and Mathematical Morphology , 2016, IEEE Access.

[6]  Pramod K. Varshney,et al.  A human perception inspired quality metric for image fusion based on regional information , 2007, Inf. Fusion.

[7]  Li Chen,et al.  Multi-focus image fusion using a bilateral gradient-based sharpness criterion , 2011 .

[8]  Michael Unser,et al.  Texture classification and segmentation using wavelet frames , 1995, IEEE Trans. Image Process..

[9]  Jingwen Yan,et al.  High quality multi-focus image fusion using self-similarity and depth information , 2015 .

[10]  Pan Lin,et al.  Dual-Tree Complex Wavelet Transform and Image Block Residual-Based Multi-Focus Image Fusion in Visual Sensor Networks , 2014, Sensors.

[11]  Anan Banharnsakun,et al.  Multi-focus image fusion using best-so-far ABC strategies , 2015, Neural Computing and Applications.

[12]  Luca Bogoni,et al.  Pattern-selective color image fusion , 2001, Pattern Recognit..

[13]  Yong Jiang,et al.  Image fusion with morphological component analysis , 2014, Inf. Fusion.

[14]  Jun Li,et al.  Single fog image restoration with multi-focus image fusion , 2018, J. Vis. Commun. Image Represent..

[15]  Yu Liu,et al.  Multi-focus image fusion with dense SIFT , 2015, Inf. Fusion.

[16]  Junjun Jiang,et al.  FusionGAN: A generative adversarial network for infrared and visible image fusion , 2019, Inf. Fusion.

[17]  Xiaohui Wang,et al.  Extended depth of field integral imaging using multi-focus fusion , 2018 .

[18]  Marly Guimarães Fernandes Costa,et al.  Multi-focus image fusion for bacilli images in conventional sputum smear microscopy for tuberculosis , 2019, Biomed. Signal Process. Control..

[19]  Ke Lu,et al.  An overview of multi-modal medical image fusion , 2016, Neurocomputing.

[20]  Chongzhao Han,et al.  Poisson image fusion based on Markov random field fusion model , 2013, Inf. Fusion.

[21]  Majid Ahmadi,et al.  Tunable halfband-pair wavelet filter banks and application to multifocus image fusion , 2012, Pattern Recognit..

[22]  Pan Lin,et al.  Multifocus Image Fusion Based on NSCT and Focused Area Detection , 2014, IEEE Sensors Journal.

[23]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[24]  Yong Yang,et al.  Multi-Focus Image Fusion Based on a Non-Fixed-Base Dictionary and Multi-Measure Optimization , 2019, IEEE Access.

[25]  Ping Zhang,et al.  Multifocus Image Fusion Using Biogeography-Based Optimization , 2015 .

[26]  Manas Kamal Bhuyan,et al.  Image Fusion Using Adjustable Non-subsampled Shearlet Transform , 2019, IEEE Transactions on Instrumentation and Measurement.

[27]  Jun Sun,et al.  Multi-Focus Image Fusion via Clustering PCA Based Joint Dictionary Learning , 2017, IEEE Access.

[28]  Wei Cai,et al.  A region-based multi-sensor image fusion scheme using pulse-coupled neural network , 2006, Pattern Recognit. Lett..

[29]  Xiaoqing Luo,et al.  Image Fusion Using Quaternion Wavelet Transform and Multiple Features , 2017, IEEE Access.

[30]  Wenda Zhao,et al.  Local binary pattern metric-based multi-focus image fusion , 2019 .

[31]  Guoyin Wang,et al.  Pixel convolutional neural network for multi-focus image fusion , 2017, Inf. Sci..

[32]  Xiaosong Li,et al.  Multifocus image fusion scheme based on the multiscale curvature in nonsubsampled contourlet transform domain , 2015 .

[33]  Y. Asnath Victy Phamila,et al.  Discrete Cosine Transform based fusion of multi-focus images for visual sensor networks , 2014, Signal Process..

[34]  Kai Huang,et al.  Multi-focus Image Fusion using Fully Convolutional Two-stream Network for Visual Sensors , 2018, KSII Trans. Internet Inf. Syst..

[35]  Yi Chai,et al.  A novel multi-modality image fusion method based on image decomposition and sparse representation , 2017, Inf. Sci..

[36]  Xiaohua Qiu,et al.  Guided filter-based multi-focus image fusion through focus region detection , 2019, Signal Process. Image Commun..

[37]  Min Liu,et al.  Taxonomy of multi-focal nematode image stacks by a CNN based image fusion approach , 2018, Comput. Methods Programs Biomed..

[38]  G. Qu,et al.  Information measure for performance of image fusion , 2002 .

[39]  Jian Sun,et al.  Guided Image Filtering , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[40]  Syed Zulqarnain Gilani,et al.  Unsupervised Deep Multi-focus Image Fusion , 2018, ArXiv.

[41]  Gao Guorong,et al.  Multi-focus image fusion based on non-subsampled shearlet transform , 2013, IET Image Process..

[42]  Qionghai Dai,et al.  Image fusion in compressed sensing , 2009, 2009 16th IEEE International Conference on Image Processing (ICIP).

[43]  Na Deng,et al.  Structural characterization and measurement of nonwoven fabrics based on multi-focus image fusion , 2019 .

[44]  Shutao Li,et al.  Image matting for fusion of multi-focus images in dynamic scenes , 2013, Inf. Fusion.

[45]  Gaofeng Meng,et al.  Multifocus image fusion via focus segmentation and region reconstruction , 2014, Neurocomputing.

[46]  Yong Yang,et al.  Multilevel Features Convolutional Neural Network for Multifocus Image Fusion , 2019, IEEE Transactions on Computational Imaging.

[47]  Nikolaos Mitianoudis,et al.  Pixel-based and region-based image fusion schemes using ICA bases , 2007, Inf. Fusion.

[48]  Shukai Duan,et al.  A general memristor-based pulse coupled neural network with variable linking coefficient for multi-focus image fusion , 2018, Neurocomputing.

[49]  Hadi Seyedarabi,et al.  Multi-focus image fusion for visual sensor networks in DCT domain , 2011, Comput. Electr. Eng..

[50]  Jun Sun,et al.  Robust Sparse Representation Combined With Adaptive PCNN for Multifocus Image Fusion , 2018, IEEE Access.

[51]  Gemma Piella,et al.  A general framework for multiresolution image fusion: from pixels to regions , 2003, Inf. Fusion.

[52]  Yide Ma,et al.  Spiking cortical model for multifocus image fusion , 2014, Neurocomputing.

[53]  S. John,et al.  Multiframe selective information fusion from robust error estimation theory , 2005, IEEE Transactions on Image Processing.

[54]  Jianfeng Liu,et al.  Scale-Invariant Structure Saliency Selection for Fast Image Fusion , 2018, Neurocomputing.

[55]  Abdul Majid,et al.  Random forest-based scheme using feature and decision levels information for multi-focus image fusion , 2015, Pattern Analysis and Applications.

[56]  Veysel Aslantas,et al.  A pixel based multi-focus image fusion method , 2014 .

[57]  Gabriel Cristóbal,et al.  Multifocus image fusion using the log-Gabor transform and a Multisize Windows technique , 2009, Inf. Fusion.

[58]  Min Liu,et al.  Classification of nematode image stacks by an information fusion based multilinear approach , 2017, Pattern Recognit. Lett..

[59]  Jing Wang,et al.  Multi-focus image fusion algorithm based on multilevel morphological component analysis and support vector machine , 2017, IET Image Process..

[60]  Ying Zhu,et al.  Multi-focus Image Fusion Based on the Improved PCNN and Guided Filter , 2017, Neural Processing Letters.

[61]  Shaowen Yao,et al.  A survey of infrared and visual image fusion methods , 2017 .

[62]  Rick S. Blum,et al.  Robust sparse representation based multi-focus image fusion with dictionary construction and local spatial consistency , 2018, Pattern Recognit..

[63]  Hongmei Wang,et al.  Multi-focus image fusion algorithm based on focus detection in spatial and NSCT domain , 2018, PloS one.

[64]  Edward H. Adelson,et al.  Merging Images Through Pattern Decomposition , 1985, Optics & Photonics.

[65]  Bo Wang,et al.  Multi-focus image fusion using boosted random walks-based algorithm with two-scale focus maps , 2019, Neurocomputing.

[66]  Qingquan Li,et al.  Multi-focus image fusion based on depth extraction with inhomogeneous diffusion equation , 2016, Signal Process..

[67]  Jinde Cao,et al.  FuseGAN: Learning to Fuse Multi-Focus Image via Conditional Generative Adversarial Network , 2019, IEEE Transactions on Multimedia.

[68]  Xuejie Zhang,et al.  Multi-focus: Focused region finding and multi-scale transform for image fusion , 2018, Neurocomputing.

[69]  Ying Han,et al.  Structure-aware image fusion , 2018, Optik.

[70]  Panajotis Agathoklis,et al.  Multi-Exposure and Multi-Focus Image Fusion in Gradient Domain , 2016, J. Circuits Syst. Comput..

[71]  Jiayi Zhou,et al.  A novel multi-focus image fusion approach based on image decomposition , 2017, Inf. Fusion.

[72]  Pan Lin,et al.  Technique for multi-focus image fusion based on fuzzy-adaptive pulse-coupled neural network , 2017, Signal Image Video Process..

[73]  Meng Wang,et al.  Salience Preserving Multi-Focus Image Fusion , 2007, 2007 IEEE International Conference on Multimedia and Expo.

[74]  Zhongliang Jing,et al.  Evaluation of focus measures in multi-focus image fusion , 2007, Pattern Recognit. Lett..

[75]  Ananda S. Chowdhury,et al.  Steerable local frequency based multispectral multifocus image fusion , 2015, Inf. Fusion.

[76]  Gaurav Bhatnagar,et al.  Mutual spectral residual approach for multifocus image fusion , 2013, Digit. Signal Process..

[77]  Yang Lei,et al.  Multi-focus image fusion using biochemical ion exchange model , 2017, Appl. Soft Comput..

[78]  Karim Faez,et al.  A classification and fuzzy-based approach for digital multi-focus image fusion , 2013, Pattern Analysis and Applications.

[79]  Bo Li,et al.  Multifocus image fusion via fixed window technique of multiscale images and non-local means filtering , 2017, Signal Process..

[80]  Jean Claude Nunes,et al.  Image analysis by bidimensional empirical mode decomposition , 2003, Image Vis. Comput..

[81]  Bin Yang,et al.  Superpixel based fusion and demosaicing for multi-focus Bayer images , 2015 .

[82]  Arif Mahmood,et al.  Multi-focus image fusion using Content Adaptive Blurring , 2019, Inf. Fusion.

[83]  Huaiping Jin,et al.  A generative image fusion approach based on supervised deep convolution network driven by weighted gradient flow , 2019, Image Vis. Comput..

[84]  Miao Zhang,et al.  Depth-of-field extension in integral imaging using multi-focus elemental images. , 2017, Applied optics.

[85]  Hassan Ghassemian,et al.  A review of remote sensing image fusion methods , 2016, Inf. Fusion.

[86]  Shaowen Yao,et al.  A Novel Multi-Focus Image Fusion Method Based on Stationary Wavelet Transform and Local Features of Fuzzy Sets , 2017, IEEE Access.

[87]  屈小波 Xiaobo Qu,et al.  Image Fusion Algorithm Based on Spatial Frequency-Motivated Pulse Coupled Neural Networks in Nonsubsampled Contourlet Transform Domain , 2008 .

[88]  Hui Fan,et al.  Multifocus Image Fusion Using Wavelet-Domain-Based Deep CNN , 2019, Comput. Intell. Neurosci..

[89]  Jie Yang,et al.  Multi-scale convolutional neural network for multi-focus image fusion , 2019, Image Vis. Comput..

[90]  Danilo P. Mandic,et al.  Multi-Scale Pixel-Based Image Fusion Using Multivariate Empirical Mode Decomposition , 2015, Sensors.

[91]  Li Li,et al.  Multi-focus image fusion based on sparse feature matrix decomposition and morphological filtering , 2015 .

[92]  Aili Wang,et al.  Multifocus image fusion based on nonsubsampled contourlet transform , 2012, 2012 7th International Forum on Strategic Technology (IFOST).

[93]  Rui Wang,et al.  Multifocus Image Fusion Based on Fast Guided Filter and Focus Pixels Detection , 2019, IEEE Access.

[94]  Qiang Zhang,et al.  Robust Multi-Focus Image Fusion Using Multi-Task Sparse Representation and Spatial Context , 2016, IEEE Transactions on Image Processing.

[95]  Shutao Li,et al.  Multi-focus image fusion based on spatial frequency and morphological operators , 2007 .

[96]  Belur V. Dasarathy,et al.  Medical Image Fusion: A survey of the state of the art , 2013, Inf. Fusion.

[97]  Yoshua Bengio,et al.  Generative Adversarial Nets , 2014, NIPS.

[98]  Jesús Bescós,et al.  Region-based multifocus image fusion for the precise acquisition of Pap smear images , 2018, Journal of biomedical optics.

[99]  Shutao Li,et al.  Multi-focus Image Fusion by Nonsubsampled Shearlet Transform , 2011, 2011 Sixth International Conference on Image and Graphics.

[100]  Qiang Zhang,et al.  Multifocus image fusion using the nonsubsampled contourlet transform , 2009, Signal Process..

[101]  Hui Zhao,et al.  Multi-focus color image fusion in the HSI space using the sum-modified-laplacian and a coarse edge map , 2008, Image Vis. Comput..

[102]  Ming Dai,et al.  Multifocus color image fusion based on quaternion curvelet transform. , 2012, Optics express.

[103]  Ding Liu,et al.  Image Fusion Using Higher Order Singular Value Decomposition , 2012, IEEE Transactions on Image Processing.

[104]  Ivor W. Tsang,et al.  Fusing images with different focuses using support vector machines , 2004, IEEE Transactions on Neural Networks.

[105]  Lei Guo,et al.  A new multi‐focus image fusion algorithm based on BEMD and improved local energy , 2015 .

[106]  Kwanghoon Sohn,et al.  Unsupervised Deep Image Fusion With Structure Tensor Representations , 2020, IEEE Transactions on Image Processing.

[107]  Rick S. Blum,et al.  A categorization of multiscale-decomposition-based image fusion schemes with a performance study for a digital camera application , 1999, Proc. IEEE.

[108]  Kun Qian,et al.  Fusion of multi-focus images via a Gaussian curvature filter and synthetic focusing degree criterion. , 2018, Applied optics.

[109]  Liu Cao,et al.  Multi-Focus Image Fusion Based on Spatial Frequency in Discrete Cosine Transform Domain , 2015, IEEE Signal Processing Letters.

[110]  Haibo Wang,et al.  Fast filtering image fusion , 2017, J. Electronic Imaging.

[111]  Yu Zhang,et al.  Boundary finding based multi-focus image fusion through multi-scale morphological focus-measure , 2017, Inf. Fusion.

[112]  Sun Li,et al.  Multi-scale weighted gradient-based fusion for multi-focus images , 2014, Inf. Fusion.

[113]  Jinshan Tang,et al.  A contrast based image fusion technique in the DCT domain , 2004, Digit. Signal Process..

[114]  Jie Zhao,et al.  Multi-Focus Image Fusion Based on Adaptive Dual-Channel Spiking Cortical Model in Non-Subsampled Shearlet Domain , 2019, IEEE Access.

[115]  Yi Chai,et al.  A novel sparse-representation-based multi-focus image fusion approach , 2016, Neurocomputing.

[116]  Yuming Fang,et al.  A Hybrid Method for Multi-Focus Image Fusion Based on Fast Discrete Curvelet Transform , 2017, IEEE Access.

[117]  Tadashi Yokoyama,et al.  Study of Some Strategies for Disposal of the GNSS Satellites , 2015 .

[118]  Min Huang,et al.  Multifocus image fusion method of Ripplet transform based on cycle spinning , 2014, Multimedia Tools and Applications.

[119]  Hai-hui Wang,et al.  A New Multiwavelet-Based Approach to Image Fusion , 2004, Journal of Mathematical Imaging and Vision.

[120]  Jing Tian,et al.  Adaptive multi-focus image fusion using a wavelet-based statistical sharpness measure , 2012, Signal Process..

[121]  Dheeraj Agrawal,et al.  Multifocus image fusion using modified pulse coupled neural network for improved image quality , 2010 .

[122]  Qiaoqiao Li,et al.  Multifocus image fusion using phase congruency , 2015, J. Electronic Imaging.

[123]  Xiongfei Li,et al.  A new multifocus image fusion based on spectrum comparison , 2016, Signal Process..

[124]  Xuejie Zhang,et al.  Multi-focus image fusion combining focus-region-level partition and pulse-coupled neural network , 2019, Soft Comput..

[125]  Ali Aghagolzadeh,et al.  Ensemble of CNN for multi-focus image fusion , 2019, Inf. Fusion.

[126]  Quan Wang,et al.  Multi-focus image fusion method using S-PCNN optimized by particle swarm optimization , 2017, Soft Computing.

[127]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..

[128]  Olivier Lavialle,et al.  Multifocus image fusion and denoising: A variational approach , 2012, Pattern Recognit. Lett..

[129]  Nikolaos Mitianoudis,et al.  Conditional Random Field Model for Robust Multi-Focus Image Fusion , 2019, IEEE Transactions on Image Processing.

[130]  Xiaohua Xia,et al.  Multi-focus image fusion based on probability filtering and region correction , 2018, Signal Process..

[131]  Zheng Liu,et al.  Objective Assessment of Multiresolution Image Fusion Algorithms for Context Enhancement in Night Vision: A Comparative Study , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[132]  M. Hossny,et al.  Comments on 'Information measure for performance of image fusion' , 2008 .

[133]  Rabab Kreidieh Ward,et al.  Image Fusion With Convolutional Sparse Representation , 2016, IEEE Signal Processing Letters.

[134]  Ying Zhu,et al.  Multi-focus image fusion with random walks and guided filters , 2019, Multimedia Systems.

[135]  Yu Zhang,et al.  Quadtree-based multi-focus image fusion using a weighted focus-measure , 2015, Inf. Fusion.

[136]  Nader Karimi,et al.  Surface area-based focus criterion for multi-focus image fusion , 2017, Inf. Fusion.

[137]  Chang-Soo Lee,et al.  New lifting based structure for undecimated wavelet transform , 2000 .

[138]  Henk J. A. M. Heijmans,et al.  A new quality metric for image fusion , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[139]  Yu Liu,et al.  IFCNN: A general image fusion framework based on convolutional neural network , 2020, Inf. Fusion.

[140]  Vladimir Petrovic,et al.  Objective image fusion performance measure , 2000 .

[141]  Lu Ding,et al.  Hybrid dual-tree complex wavelet transform and support vector machine for digital multi-focus image fusion , 2016, Neurocomputing.

[142]  Yi Shen,et al.  Region level based multi-focus image fusion using quaternion wavelet and normalized cut , 2014, Signal Process..

[143]  Zheng Liu,et al.  Algebraic Multi-Grid Based Multi-Focus Image Fusion Using Watershed Algorithm , 2018, IEEE Access.

[144]  Xin Liu,et al.  A novel similarity based quality metric for image fusion , 2008, Inf. Fusion.

[145]  Rabab Kreidieh Ward,et al.  Deep learning for pixel-level image fusion: Recent advances and future prospects , 2018, Inf. Fusion.

[146]  Yaonan Wang,et al.  Multifocus image fusion using artificial neural networks , 2002, Pattern Recognit. Lett..

[147]  Rick S. Blum,et al.  A new automated quality assessment algorithm for image fusion , 2009, Image Vis. Comput..

[148]  Salvador Gabarda,et al.  On the use of a joint spatial-frequency representation for the fusion of multi-focus images , 2005, Pattern Recognit. Lett..

[149]  Alexander Toet Alternating guided image filtering , 2016, PeerJ Comput. Sci..

[150]  Q. Wang,et al.  A nonlinear correlation measure for multivariable data set , 2005 .

[151]  Shutao Li,et al.  Pixel-level image fusion with simultaneous orthogonal matching pursuit , 2012, Inf. Fusion.

[152]  Xinman Zhang,et al.  Restoration and fusion optimization scheme of multifocus image using genetic search strategies , 2005 .

[153]  Xiongfei Li,et al.  Multi-focus image fusion using image-partition-based focus detection , 2014, Signal Process..

[154]  Bhabatosh Chanda,et al.  Multi-focus image fusion using a morphology-based focus measure in a quad-tree structure , 2013, Inf. Fusion.

[155]  Zhongliang Jing,et al.  Multi-focus image fusion using pulse coupled neural network , 2007, Pattern Recognit. Lett..

[156]  Feng Wu,et al.  DRPL: Deep Regression Pair Learning for Multi-Focus Image Fusion , 2020, IEEE Transactions on Image Processing.

[157]  D. Shalini Punithavathani,et al.  Optimized ensemble decision-based multi-focus imagefusion using binary genetic Grey-Wolf optimizer in camera sensor networks , 2016, Multimedia Tools and Applications.

[158]  Jun Sun,et al.  Multifocus Image Fusion Based on Extreme Learning Machine and Human Visual System , 2017, IEEE Access.

[159]  Shuaiqi Liu,et al.  Image fusion based on complex-shearlet domain with guided filtering , 2015, Multidimensional Systems and Signal Processing.

[160]  Cuong Manh Do,et al.  Multifocus Holographic 3-D Image Fusion Using Independent Component Analysis , 2007, Journal of Display Technology.

[161]  Bin Xiao,et al.  Multi-Focus Image Fusion by Hessian Matrix Based Decomposition , 2020, IEEE Transactions on Multimedia.

[162]  Bhabatosh Chanda,et al.  A simple and efficient algorithm for multifocus image fusion using morphological wavelets , 2006, Signal Process..

[163]  Veysel Aslantas,et al.  Fusion of multi-focus images using differential evolution algorithm , 2010, Expert Syst. Appl..

[164]  Anh Dinh,et al.  Multi-Focus Fusion Technique on Low-Cost Camera Images for Canola Phenotyping , 2018, Sensors.

[165]  Oliver Rockinger,et al.  Image sequence fusion using a shift-invariant wavelet transform , 1997, Proceedings of International Conference on Image Processing.

[166]  Yu Liu,et al.  A general framework for image fusion based on multi-scale transform and sparse representation , 2015, Inf. Fusion.

[167]  Jia Li,et al.  Multi-focus image fusion based on dictionary learning with rolling guidance filter. , 2017, Journal of the Optical Society of America. A, Optics, image science, and vision.

[168]  Sunil Agrawal,et al.  From Multi-Scale Decomposition to Non-Multi-Scale Decomposition Methods: A Comprehensive Survey of Image Fusion Techniques and Its Applications , 2017, IEEE Access.

[169]  Li Chen,et al.  Multi-focus image fusion based on cartoon-texture image decomposition , 2016 .

[170]  Minh N. Do,et al.  Ieee Transactions on Image Processing the Contourlet Transform: an Efficient Directional Multiresolution Image Representation , 2022 .

[171]  Shutao Li,et al.  Multifocus image fusion by combining curvelet and wavelet transform , 2008, Pattern Recognit. Lett..

[172]  Danilo P. Mandic,et al.  Multiscale Image Fusion Using Complex Extensions of EMD , 2009, IEEE Transactions on Signal Processing.

[173]  Jingyu Hou,et al.  A lightweight scheme for multi-focus image fusion , 2018, Multimedia Tools and Applications.

[174]  Cedric Nishan Canagarajah,et al.  Pixel- and region-based image fusion with complex wavelets , 2007, Inf. Fusion.

[175]  B. K. Shreyamsha Kumar,et al.  Image fusion based on pixel significance using cross bilateral filter , 2013, Signal, Image and Video Processing.

[176]  Nick G. Kingsbury,et al.  A dual-tree complex wavelet transform with improved orthogonality and symmetry properties , 2000, Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101).

[177]  Yu Liu,et al.  Simultaneous image fusion and denoising with adaptive sparse representation , 2015, IET Image Process..

[178]  Yuan Yan Tang,et al.  Multi-focus image fusion based on the neighbor distance , 2013, Pattern Recognit..

[179]  Raymond Y. K. Lau,et al.  Least Squares Generative Adversarial Networks , 2016, 2017 IEEE International Conference on Computer Vision (ICCV).

[180]  Tania Stathaki,et al.  Image Fusion: Algorithms and Applications , 2008 .

[181]  B. Luo,et al.  Large-Scale Graph Database Indexing Based on T-mixture Model and ICA , 2007, Fourth International Conference on Image and Graphics (ICIG 2007).

[182]  Xudong Kang,et al.  A Two-Stage Multi-Focus Image Fusion Framework Robust to Image Mis-Registration , 2019, IEEE Access.

[183]  Jing Tian,et al.  Improving Empirical Mode Decomposition Using Support Vector Machines for Multifocus Image Fusion , 2008, Sensors.

[184]  R. Amutha,et al.  Low complexity multifocus image fusion in discrete cosine transform domain , 2013 .

[185]  Huixin Zhou,et al.  Multi-focus image fusion using a guided-filter-based difference image. , 2016, Applied optics.

[186]  Baohua Zhang,et al.  Multi-focus image fusion based on sparse decomposition and background detection , 2016, Digit. Signal Process..

[187]  Long Chen,et al.  Multifocus image fusion using superpixel segmentation and superpixel-based mean filtering. , 2016, Applied optics.

[188]  Shuaiqi Liu,et al.  Multi-focus image fusion based on joint sparse representation and optimum theory , 2019, Signal Process. Image Commun..

[189]  Yi Chai,et al.  Multifocus image fusion scheme based on features of multiscale products and PCNN in lifting stationary wavelet domain , 2011 .

[190]  Jirí Mekyska,et al.  Multi-focus thermal image fusion , 2013, Pattern Recognit. Lett..

[191]  Shutao Li,et al.  Multifocus Image Fusion and Restoration With Sparse Representation , 2010, IEEE Transactions on Instrumentation and Measurement.

[192]  Yi Chai,et al.  Multifocus image fusion and denoising scheme based on homogeneity similarity , 2012 .

[193]  C. L. Philip Chen,et al.  Multifocus image fusion with enhanced linear spectral clustering and fast depth map estimation , 2018, Neurocomputing.

[194]  Kai-Lung Hua,et al.  A novel multi-focus image fusion algorithm based on random walks , 2014, J. Vis. Commun. Image Represent..

[195]  Baohua Zhang,et al.  Multi-focus image fusion algorithm based on focused region extraction , 2016, Neurocomputing.

[196]  Ali Aghagolzadeh,et al.  CNNs hard voting for multi-focus image fusion , 2019, Journal of Ambient Intelligence and Humanized Computing.

[197]  Shadrokh Samavi,et al.  Multi-focus image fusion using dictionary-based sparse representation , 2015, Inf. Fusion.

[198]  Gwanggil Jeon,et al.  Multi-Focus Image Fusion Method for Vision Sensor Systems via Dictionary Learning with Guided Filter , 2018, Sensors.

[199]  Hui Zhao,et al.  Multifocus color image sequence fusion based on mean shift segmentation. , 2015, Applied optics.

[200]  Xiangchu Feng,et al.  Variational Models for Fusion and Denoising of Multifocus Images , 2008, IEEE Signal Processing Letters.

[201]  Yaonan Wang,et al.  Combination of images with diverse focuses using the spatial frequency , 2001, Inf. Fusion.

[202]  Zengchang Qin,et al.  Multifocus image fusion based on robust principal component analysis , 2013, Pattern Recognit. Lett..

[203]  Gabriel Rilling,et al.  Bivariate Empirical Mode Decomposition , 2007, IEEE Signal Processing Letters.

[204]  Jinde Cao,et al.  Fully Convolutional Network-Based Multifocus Image Fusion , 2018, Neural Computation.

[205]  Cemal Köse,et al.  A novel image decomposition-based hybrid technique with super-resolution method for multi-focus image fusion , 2019, Inf. Fusion.

[206]  Shutao Li,et al.  Pixel-level image fusion: A survey of the state of the art , 2017, Inf. Fusion.

[207]  Brendt Wohlberg,et al.  Efficient Algorithms for Convolutional Sparse Representations , 2016, IEEE Transactions on Image Processing.

[208]  Shutao Li,et al.  Hybrid Multiresolution Method for Multisensor Multimodal Image Fusion , 2010, IEEE Sensors Journal.

[209]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[210]  B. S. Manjunath,et al.  Multisensor Image Fusion Using the Wavelet Transform , 1995, CVGIP Graph. Model. Image Process..

[211]  Cedric Nishan Canagarajah,et al.  Image Fusion Using Complex Wavelets , 2002, BMVC.

[212]  Marcin Woźniak,et al.  Multi-focusing algorithm for microscopy imagery in assembly line using low-cost camera , 2019, The International Journal of Advanced Manufacturing Technology.

[213]  Bo Liu,et al.  Multimodal image seamless fusion , 2019, J. Electronic Imaging.

[214]  Mei Yang,et al.  A novel algorithm of image fusion using shearlets , 2011 .

[215]  Wei Wei,et al.  Multi-focus image fusion with alternating guided filtering , 2018, Signal, Image and Video Processing.

[216]  David J. Field,et al.  Emergence of simple-cell receptive field properties by learning a sparse code for natural images , 1996, Nature.

[217]  Yi Chai,et al.  Multifocus image fusion scheme using focused region detection and multiresolution , 2011 .

[218]  Abdul Majid,et al.  A novel ensemble approach using individual features for multi-focus image fusion , 2016, Comput. Electr. Eng..

[219]  Zengfu Wang,et al.  A novel multi-focus image fusion method using multiscale shearing non-local guided averaging filter , 2020, Signal Process..

[220]  M. Roux,et al.  Multifocus image fusion based on redundant wavelet transform , 2010 .

[221]  Vladimir S. Petrovic,et al.  Gradient-based multiresolution image fusion , 2004, IEEE Transactions on Image Processing.

[222]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[223]  Gwanggil Jeon,et al.  A multifocus image fusion method by using hidden Markov model , 2013 .

[224]  Yi Shen,et al.  Novel focus region detection method for multifocus image fusion using quaternion wavelet , 2013, J. Electronic Imaging.

[225]  Md. Arifur Rahman,et al.  Multi-focal image fusion using degree of focus and fuzzy logic , 2017, Digit. Signal Process..

[226]  Yafei Zhang,et al.  Performance improvement scheme of multifocus image fusion derived by difference images , 2016, Signal Process..

[227]  Shutao Li,et al.  Multifocus image fusion using region segmentation and spatial frequency , 2008, Image Vis. Comput..

[228]  Shutao Li,et al.  Image Fusion With Guided Filtering , 2013, IEEE Transactions on Image Processing.

[229]  Zheng Liu,et al.  PERFORMANCE ASSESSMENT OF COMBINATIVE PIXEL-LEVEL IMAGE FUSION BASED ON AN ABSOLUTE FEATURE MEASUREMENT , 2007 .

[230]  Gang Hu,et al.  Multi-focus image fusion based on window empirical mode decomposition , 2017 .

[231]  Durga Prasad Bavirisetti,et al.  Multi-focus image fusion using multi-scale image decomposition and saliency detection , 2016, Ain Shams Engineering Journal.

[232]  E Vakaimalar,et al.  Multifocus image fusion scheme based on discrete cosine transform and spatial frequency , 2018, Multimedia Tools and Applications.

[233]  Jiayi Ma,et al.  Infrared and visible image fusion methods and applications: A survey , 2018, Inf. Fusion.

[234]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[235]  Ravi Ramamoorthi,et al.  Deep high dynamic range imaging of dynamic scenes , 2017, ACM Trans. Graph..

[236]  Jiang Xiuchen,et al.  Image Fusion Method Based on Structure-Based Saliency Map and FDST-PCNN Framework , 2019, IEEE Access.

[237]  A. Bovik,et al.  A universal image quality index , 2002, IEEE Signal Processing Letters.

[238]  G. Easley,et al.  Sparse directional image representations using the discrete shearlet transform , 2008 .

[239]  Yang Lei,et al.  Fusion technique for multi-focus images based on NSCT–ISCM , 2015 .

[240]  Wei-Ping Zhu,et al.  Fusion framework for multi-focus images based on compressed sensing , 2013, IET Image Process..

[241]  Amrane Houacine,et al.  Redundant versus orthogonal wavelet decomposition for multisensor image fusion , 2003, Pattern Recognit..

[242]  Minh N. Do,et al.  The Nonsubsampled Contourlet Transform: Theory, Design, and Applications , 2006, IEEE Transactions on Image Processing.

[243]  Yang Wang,et al.  Enhancing vascular visualization in laser speckle contrast imaging of blood flow using multi‐focus image fusion , 2018, Journal of biophotonics.

[244]  Huchuan Lu,et al.  Multi-Focus Image Fusion With a Natural Enhancement via a Joint Multi-Level Deeply Supervised Convolutional Neural Network , 2019, IEEE Transactions on Circuits and Systems for Video Technology.

[245]  Li Chen,et al.  Multi-focus image fusion based on non-negative matrix factorization and difference images , 2014, Signal Process..

[246]  Rui Lai,et al.  Multi-Scale Visual Attention Deep Convolutional Neural Network for Multi-Focus Image Fusion , 2019, IEEE Access.

[247]  Xiaosong Li,et al.  Multifocus image fusion by combining with mixed-order structure tensors and multiscale neighborhood , 2016, Inf. Sci..

[248]  Jason Jianjun Gu,et al.  Multi-focus image fusion using PCNN , 2010, Pattern Recognit..

[249]  Baohua Zhang,et al.  Multi-focus image fusion algorithm based on compound PCNN in Surfacelet domain , 2014 .

[250]  Yi Chai,et al.  A new fusion scheme for multifocus images based on focused pixels detection , 2013, Machine Vision and Applications.

[251]  Yibo Chen,et al.  Robust Multi-Focus Image Fusion Using Edge Model and Multi-Matting , 2018, IEEE Transactions on Image Processing.

[252]  Zhenzhen Yang Novel multifocus image fusion and reconstruction framework based on compressed sensing , 2013 .

[253]  Veysel Aslantas,et al.  Multi-focus image fusion based on optimal defocus estimation , 2017, Comput. Electr. Eng..

[254]  Yu Liu,et al.  Multi-focus image fusion with a deep convolutional neural network , 2017, Inf. Fusion.

[255]  Jinbo Li,et al.  Regional multifocus image fusion using sparse representation. , 2013, Optics express.

[256]  Jinde Cao,et al.  Multi-Focus Image Fusion Using U-Shaped Networks With a Hybrid Objective , 2019, IEEE Sensors Journal.

[257]  Xiaojun Wu,et al.  Multi-focus image fusion using HOSVD and edge intensity , 2017, J. Vis. Commun. Image Represent..

[258]  Ming Zhu,et al.  Multifocus color image fusion using quaternion wavelet transform , 2012, 2012 5th International Congress on Image and Signal Processing.

[259]  Yixiong Liang,et al.  Efficient Misalignment-Robust Multi-Focus Microscopical Images Fusion , 2019, Signal Process..