Sparse representation based multi-sensor image fusion for multi-focus and multi-modality images: A review

Abstract As a result of several successful applications in computer vision and image processing, sparse representation (SR) has attracted significant attention in multi-sensor image fusion. Unlike the traditional multiscale transforms (MSTs) that presume the basis functions, SR learns an over-complete dictionary from a set of training images for image fusion, and it achieves more stable and meaningful representations of the source images. By doing so, the SR-based fusion methods generally outperform the traditional MST image fusion methods in both subjective and objective tests. In addition, they are less susceptible to mis-registration among the source images, thus facilitating the practical applications. This survey paper proposes a systematic review of the SR-based multi-sensor image fusion literature, highlighting the pros and cons of each category of approaches. Specifically, we start by performing a theoretical investigation of the entire system from three key algorithmic aspects, (1) sparse representation models; (2) dictionary learning methods; and (3) activity levels and fusion rules. Subsequently, we show how the existing works address these scientific problems and design the appropriate fusion rules for each application such as multi-focus image fusion and multi-modality (e.g., infrared and visible) image fusion. At last, we carry out some experiments to evaluate the impact of these three algorithmic components on the fusion performance when dealing with different applications. This article is expected to serve as a tutorial and source of reference for researchers preparing to enter the field or who desire to employ the sparse representation theory in other fields.

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

[2]  Jean-Yves Tourneret,et al.  Hyperspectral and Multispectral Image Fusion Based on a Sparse Representation , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Peyman Milanfar,et al.  Clustering-Based Denoising With Locally Learned Dictionaries , 2009, IEEE Transactions on Image Processing.

[4]  Kishor P. Upla,et al.  An Edge Preserving Multiresolution Fusion: Use of Contourlet Transform and MRF Prior , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[5]  Rabab K. Ward,et al.  Fast group sparse classification , 2009 .

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

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

[8]  Guillermo Sapiro,et al.  Sparse Representation for Computer Vision and Pattern Recognition , 2010, Proceedings of the IEEE.

[9]  Shutao Li,et al.  Simultaneous image fusion and super-resolution using sparse representation , 2013, Inf. Fusion.

[10]  Nannan Yu,et al.  Image Features Extraction and Fusion Based on Joint Sparse Representation , 2011, IEEE Journal of Selected Topics in Signal Processing.

[11]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[12]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Lei Wang,et al.  Multi-modal medical image fusion using the inter-scale and intra-scale dependencies between image shift-invariant shearlet coefficients , 2014, Inf. Fusion.

[14]  Long Wang,et al.  Multimodality image fusion by using both phase and magnitude information , 2013, Pattern Recognit. Lett..

[15]  Michael Elad,et al.  From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images , 2009, SIAM Rev..

[16]  Shutao Li,et al.  Multimodal image fusion with joint sparsity model , 2011 .

[17]  Shutao Li,et al.  Performance comparison of different multi-resolution transforms for image fusion , 2011, Inf. Fusion.

[18]  Shutao Li,et al.  Remote Sensing Image Fusion via Sparse Representations Over Learned Dictionaries , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[19]  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.

[20]  Mahboob Iqbal,et al.  Unification of image fusion and super-resolution using jointly trained dictionaries and local information contents , 2012 .

[21]  Zhixun Su,et al.  Linearized Alternating Direction Method with Adaptive Penalty for Low-Rank Representation , 2011, NIPS.

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

[23]  Xavier Maldague,et al.  An adaptive fusion approach for infrared and visible images based on NSCT and compressed sensing , 2016 .

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

[25]  H. Sebastian Seung,et al.  Learning the parts of objects by non-negative matrix factorization , 1999, Nature.

[26]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[27]  Baohua Zhang,et al.  The infrared and visible image fusion algorithm based on target separation and sparse representation , 2014 .

[28]  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).

[29]  Richard Bamler,et al.  A Sparse Image Fusion Algorithm With Application to Pan-Sharpening , 2013, IEEE Transactions on Geoscience and Remote Sensing.

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

[31]  Haitao Yin,et al.  Sparse representation with learned multiscale dictionary for image fusion , 2015, Neurocomputing.

[32]  Long Wang,et al.  Multisensor video fusion based on higher order singular value decomposition , 2015, Inf. Fusion.

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

[34]  Mehrez Zribi,et al.  Coupling SAR C-Band and Optical Data for Soil Moisture and Leaf Area Index Retrieval Over Irrigated Grasslands , 2016, IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens..

[35]  Yu Liu,et al.  Medical Image Fusion by Combining Nonsubsampled Contourlet Transform and Sparse Representation , 2014, CCPR.

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

[37]  Gonzalo Pajares,et al.  A wavelet-based image fusion tutorial , 2004, Pattern Recognit..

[38]  Tanaya Guha,et al.  Learning Sparse Representations for Human Action Recognition , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[39]  Yi Ma,et al.  Robust principal component analysis? , 2009, JACM.

[40]  Haitao Yin,et al.  Sparse representation based pansharpening with details injection model , 2015, Signal Process..

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

[42]  Guangming Shi,et al.  Hyperspectral Image Super-Resolution via Non-Negative Structured Sparse Representation , 2016, IEEE Transactions on Image Processing.

[43]  Joel A. Tropp,et al.  Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit , 2006, Signal Process..

[44]  Victor Vianu,et al.  Invited articles section foreword , 2010, JACM.

[45]  Enrico Magli,et al.  Distributed Compressed Sensing , 2015 .

[46]  Guillermo Sapiro,et al.  Non-local sparse models for image restoration , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[47]  Ping Guo,et al.  OMP or BP? A Comparison Study of Image Fusion Based on Joint Sparse Representation , 2012, ICONIP.

[48]  Javad Alirezaie,et al.  Pixel level jointed sparse representation with RPCA image fusion algorithm , 2015, 2015 38th International Conference on Telecommunications and Signal Processing (TSP).

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

[50]  Zhai Guangtao,et al.  ウェーブレットリーダーピラミッドを用いた新しい画質評価法 | 文献情報 | J-GLOBAL 科学技術総合リンクセンター , 2011 .

[51]  Naoto Yokoya,et al.  Hyperspectral Pansharpening: A Review , 2015, IEEE Geoscience and Remote Sensing Magazine.

[52]  Ping Guo,et al.  Image Fusion by Hierarchical Joint Sparse Representation , 2013, Cognitive Computation.

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

[54]  Liangpei Zhang,et al.  A Remote Sensing Image Fusion Method Based on the Analysis Sparse Model , 2016, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[55]  Haifeng Li,et al.  Dictionary learning method for joint sparse representation-based image fusion , 2013 .

[56]  Li Wei,et al.  Research on fusion method for infrared and visible images via compressive sensing , 2013 .

[57]  Richard Bamler,et al.  Exploiting Joint Sparsity for Pansharpening: The J-SparseFI Algorithm , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[58]  Yongping Zhang,et al.  A New Image-Fusion Technique Based on Blocked Sparse Representation , 2014 .

[59]  Kan Ren,et al.  Super-resolution images fusion via compressed sensing and low-rank matrix decomposition , 2015 .

[60]  Ning He,et al.  Exposure fusion based on sparse representation using approximate K-SVD , 2014, Neurocomputing.

[61]  Shutao Li,et al.  Group-Sparse Representation With Dictionary Learning for Medical Image Denoising and Fusion , 2012, IEEE Transactions on Biomedical Engineering.

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

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

[64]  Jocelyn Chanussot,et al.  A Pansharpening Method Based on the Sparse Representation of Injected Details , 2015, IEEE Geoscience and Remote Sensing Letters.

[65]  Hanseok Ko,et al.  Joint patch clustering-based dictionary learning for multimodal image fusion , 2016, Inf. Fusion.

[66]  Jian Yu,et al.  Saliency Detection by Multitask Sparsity Pursuit , 2012, IEEE Transactions on Image Processing.

[67]  Jocelyn Chanussot,et al.  A Critical Comparison Among Pansharpening Algorithms , 2015, IEEE Transactions on Geoscience and Remote Sensing.

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

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

[70]  Zheng Liu,et al.  A feature-based metric for the quantitative evaluation of pixel-level image fusion , 2008, Comput. Vis. Image Underst..

[71]  David Zhang,et al.  A Survey of Sparse Representation: Algorithms and Applications , 2015, IEEE Access.

[72]  Thomas S. Huang,et al.  Image Super-Resolution Via Sparse Representation , 2010, IEEE Transactions on Image Processing.

[73]  Lei Zhang,et al.  Sparsity-based image denoising via dictionary learning and structural clustering , 2011, CVPR 2011.

[74]  Jianping Fan,et al.  Fusion method for infrared and visible images by using non-negative sparse representation , 2014 .

[75]  Yaakov Tsaig,et al.  Fast Solution of $\ell _{1}$ -Norm Minimization Problems When the Solution May Be Sparse , 2008, IEEE Transactions on Information Theory.

[76]  L. Landweber An iteration formula for Fredholm integral equations of the first kind , 1951 .

[77]  Shutao Li,et al.  A New Pan-Sharpening Method Using a Compressed Sensing Technique , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[78]  Liangpei Zhang,et al.  Two-Step Sparse Coding for the Pan-Sharpening of Remote Sensing Images , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[79]  Liangpei Zhang,et al.  An Online Coupled Dictionary Learning Approach for Remote Sensing Image Fusion , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[80]  Long Wang,et al.  Similarity-based multimodality image fusion with shiftable complex directional pyramid , 2011, Pattern Recognit. Lett..

[81]  Shutao Li,et al.  Visual attention guided image fusion with sparse representation , 2014 .

[82]  Andrea Fusiello,et al.  Generation of All-in-Focus Images by Noise-Robust Selective Fusion of Limited Depth-of-Field Images , 2013, IEEE Transactions on Image Processing.

[83]  Rob Heylen,et al.  Fusion of Hyperspectral and Multispectral Images Using Spectral Unmixing and Sparse Coding , 2016, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

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

[85]  Choi Narak,et al.  一般化Harvey-Shack表面散乱理論の数値的検証 | 文献情報 | J-GLOBAL 科学技術総合リンクセンター , 2013 .

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

[87]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[88]  Larry S. Davis,et al.  Learning Structured Low-Rank Representations for Image Classification , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[89]  Bin Yang,et al.  Simultaneous image fusion and demosaicing via compressive sensing , 2016, Inf. Process. Lett..