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Pansharpening with support vector transform and semi-nonnegative matrix factorization

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Abstract

This paper attempts to reduce the spectral distortion and enhance the spatial information of fused images. For this purpose, the author presented a novel pansharpening method based on support vector transform (SVT) and semi-nonnegative matrix factorization (semi-NMF). The proposed method involves three steps. In step one, SVT was performed on panchromatic and multispectral images. In step two, the low-frequency components were processed by semi-NMF-based fusion rule, while the high-frequency components were treated by the regional energy-weighted fusion rule. In step three, the fused images were reconstructed by the fused high-frequency and low-frequency components. After that, the proposed method was compared with other related methods through experiments on several datasets collected from QuickBird and GeoEye-1. The comparison shows that the proposed method outperforms the compared approaches. The research findings shed new light on the preservation of spatial and spectral information in image fusion.

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References

  1. Akula RT, Gupta R, Devi MRV (2012) An efficient pan-sharpening technique by merging two hybrid approaches. Procedia Engineering 30(9):535–541

    Article  Google Scholar 

  2. Alparone L, Baronti S, Garzelli A, Nencini F (2004) A global quality measurement of pan-sharpened multispectral imagery. IEEE Geoscience & Remote Sensing Letters 1(4):313–317

    Article  Google Scholar 

  3. Alparone L, Wald L, Chanussot J, Thomas C, Gamba P, Bruce LM (2007) Comparison of pansharpening algorithms: outcome of the 2006 GRS-S data-fusion contest. IEEE Transactions on Geoscience & Remote Sensing 45(10):3012–3021

    Article  Google Scholar 

  4. Bovolo F, Bruzzone L, Capobianco L, Garzelli A, Marchesi S, Nencini F (2010) Analysis of the effects of pansharpening in change detection on VHR images. IEEE Geoscience & Remote Sensing Letters 7(1):53–57

    Article  Google Scholar 

  5. Ding C, Li T, Jordan MI (2010) Convex and semi-nonnegative matrix factorizations. IEEE Transactions on Pattern Analysis & Machine Intelligence 32(1):45–55

    Article  Google Scholar 

  6. Garzelli A, Nencini F (2006) Pan-sharpening of very high resolution multispectral images using genetic algorithms. Int J Remote Sens 27(15):3273–3292

    Article  Google Scholar 

  7. Ghahremani M, Ghassemian H (2016) A compressed-sensing-based pan-sharpening method for spectral distortion reduction. IEEE Transactions on Geoscience & Remote Sensing 54(4):2194–2206

    Article  Google Scholar 

  8. Guo R, Zhang L, Xing M, Li J (2010) Polarimetric SAR image fusion using nonnegative matrix factorisation and improved-RGB model. Electron Lett 46(20):1399–1401

    Article  Google Scholar 

  9. Hoyer PO (2002) Non-negative sparse coding. Neural Networks for Signal Processing, 2002. Proceedings of the 2002, IEEE Workshop on. IEEE, 2002: 557–565

  10. Jiang C, Zhang H, Shen H, Zhang L (2014) Two-step sparse coding for the pan-sharpening of remote sensing images. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing 7(5):1792–1805

    Article  Google Scholar 

  11. Johnson BA, Tateishi R, Hoan NT (2013) A hybrid pansharpening approach and multiscale object-based image analysis for mapping diseased pine and oak trees. Int J Remote Sens 34(20):6969–6982

    Article  Google Scholar 

  12. Karathanassi V, Kolokousis P, Ioannidou S (2007) A comparison study on fusion methods using evaluation indicators. Int J Remote Sens 28(10):2309–2341

    Article  Google Scholar 

  13. Laben CA, Brower BV. (2000) Process for enhancing the spatial resolution of multispectral imagery using pan-sharpening. U.S. Patent 6011875, Jan. 4

  14. Lee DD, Seung HS (1999) Learning the parts of objects by non-negative matrix factorization. Nature 401(6755):788–791

    Article  Google Scholar 

  15. Li S, Yang B (2011) A new pan-sharpening method using a compressed sensing technique. IEEE Transactions on Geoscience & Remote Sensing 49(2):738–746

    Article  Google Scholar 

  16. Li SZ, Hou XW, Zhang HJ, Cheng Q (2001) Learning spatially localized, parts-based representation. Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on. IEEE, 2001: I-207-I-212 vol.1

  17. Li S, Yin H, Fang L (2013) Remote sensing image fusion via sparse representations over learned dictionaries. IEEE Transactions on Geoscience & Remote Sensing 51(9):4779–4789

    Article  Google Scholar 

  18. Li H, Liu F, Yang S, Zhang K, Su X, Jiao L (2016) Refined pan-sharpening with NSCT and hierarchical sparse autoencoder. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing 9(12):5715–5725

    Article  Google Scholar 

  19. Li H, Liu F, Zhang K (2016) Remote sensing image fusion based on sparse non-negative matrix factorization. Journal of Xidian University 43(2):193–198

    Google Scholar 

  20. Liu Y, Liao Y, Tang L, Tang F, Liu W (2016) General subspace constrained non-negative matrix factorization for data representation. Neurocomputing 173(1):224–232

    Article  Google Scholar 

  21. Miao Q, Wang B (2005) A novel algorithm of multi-sensor image fusion using non-negative matrix factorization. Journal of Computer Aided Design & Computer Graphics 17(9):2029–2032

    Google Scholar 

  22. Otazu X, Audicana MG, Fors O, Nunez J (2010) Introduction of sensor spectral response into image fusion methods. Application to wavelet-based methods. IEEE Transactions on Geoscience & Remote Sensing 43(10):2376–2385

    Article  Google Scholar 

  23. Psjr C, Sides SC, Anderson JA (1991) Comparison of three different methods to merge multiresolution and multispectral data: landsat TM and SPOT panchromatic. Photogramm Eng Remote Sens 57(3):265–303

    Google Scholar 

  24. Ranchin T, Wald L (2000) Fusion of high spatial and spectral resolution images: the arsis concept and its implementation. Photogramm Eng Remote Sens 66(2):49–61

    Google Scholar 

  25. Rong KX, Jiao LC, Wang S, Liu F (2017) Pansharpening based on low-rank and sparse decomposition. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing 7(12):4793–4805

    Article  Google Scholar 

  26. Samat A, Gamba P, Liu S, Du P, Abuduwaili J (2016) Jointly informative and manifold structure representative sampling based active learning for remote sensing image classification. IEEE Transactions on Geoscience & Remote Sensing 54(11):6803–6817

    Article  Google Scholar 

  27. Shah VP, Younan NH, King RL (2008) An efficient pan-sharpening method via a combined adaptive PCA approach and contourlets. IEEE Transactions on Geoscience & Remote Sensing 46(5):1323–1335

    Article  Google Scholar 

  28. Shah VP, Younan NH, King R (2008) Pan-sharpening via the contourlet transform. Geoscience and Remote Sensing Symposium, 2007. IGARSS 2007. IEEE International. IEEE, 2008: 310–313

  29. Suykens JAK, Vandewalle J (1999) Least squares support vector machine classifiers. Neural Process Lett 9(3):293–300

    Article  Google Scholar 

  30. Thomas C, Ranchin T, Wald L, Chanussot J (2008) Synthesis of multispectral images to high spatial resolution: a critical review of fusion methods based on remote sensing physics. IEEE Transactions on Geoscience & Remote Sensing 46(5):1301–1312

    Article  Google Scholar 

  31. Tu TM, Su SC, Shyu HC, Huang PS (2001) A new look at IHS-like image fusion methods. Information Fusion 2(3):177–186

    Article  Google Scholar 

  32. Tu TM, Huang PS, Hung CL, Chang CP (2004) A fast intensity-hue-saturation fusion technique with spectral adjustment for IKONOS imagery. IEEE Geoscience & Remote Sensing Letters 1(4):309–312

    Article  Google Scholar 

  33. Vivone G, Alparone L, Chanussot J, Mura MD, Garzelli A, Licciardi GA, Restaino R, Wald L (2015) A critical comparison among pansharpening algorithms. IEEE Transactions on Geoscience & Remote Sensing 53(5):2565–2586

    Article  Google Scholar 

  34. Wang Z, Bovik AC (2002) A universal image quality index. IEEE Signal Processing Letters 9(3):81–84

    Article  Google Scholar 

  35. Wang Z, Yu X, Zhang L (2008) A remote sensing image fusion algorithm based on constrained nonnegative matrix factorization. Journal of Beijing Normal University 4(4):672–676

    Google Scholar 

  36. Wang N, Du B, Zhang L (2013) An endmember dissimilarity constrained non-negative matrix factorization method for hyperspectral unmixing. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing 6(2):554–569

    Article  Google Scholar 

  37. Wang WQ, Jiao LC, Yang SY, Rong KX (2015) Distributed compressed sensing-based pan-sharpening with hybrid dictionary. Neurocomputing 155(5):320–333

    Article  Google Scholar 

  38. Xu R, Li Y, Xing M (2013) Fusion of multi-aspect radar images via sparse non-negative matrix factorisation. Electron Lett 49(25):1635–1637

    Article  Google Scholar 

  39. Yang XH, Jiao LC (2008) Fusion algorithm for remote sensing images based on nonsubsampled contourlet transform. Acta Automat Sin 34(3):274–281

    Article  Google Scholar 

  40. Yang SY, Wang M, Jiao LC (2012) Contourlet hidden markov tree and clarity-saliency driven PCNN based remote sensing images fusion. Appl Soft Comput 12(1):228–237

    Article  Google Scholar 

  41. Yang SY, Wang M, Jiao LC (2012) Fusion of multispectral and panchromatic images based on support value transform and adaptive principal component analysis. Information Fusion 13(3):177–184

    Article  Google Scholar 

  42. Yang S, Zhang K, Wang M (2017) Learning low-rank decomposition for pan-sharpening with spatial-spectral offsets. IEEE Transactions on Neural Networks & Learning Systems 99:1–11. https://doi.org/10.1109/TNNLS.2017.2736011

    Article  Google Scholar 

  43. Yi Y, Shi Y, Zhang H, Wang J, Kong J (2015) Label propagation based semi-supervised non-negative matrix factorization for feature extraction. Neurocomputing 149(2):1021–1037

    Article  Google Scholar 

  44. Yin H, Li S (2015) Pansharpening with multiscale normalized nonlocal means filter: a two-step approach. IEEE Transactions on Geoscience & Remote Sensing 53(10):5734–5745

    Article  Google Scholar 

  45. Yuhas R, Goetz AFH, Boardman JW (1992) Descrimination among semi-arid landscape endmembers using the Spectral Angle Mapper (SAM) algorithm. Proceedings of Summaries 4th JPL Airborne Earth Science Workshop, 1992

  46. Zhan Y, Chen L, Jia J, Zhao Z (2014) Multi-focus image fusion based on non-negative matrix factorization and difference images. Signal Process 105(12):84–97

    Article  Google Scholar 

  47. Zhang L, Zhang L, Tao D, Huang X (2011) A multifeature tensor for remote-sensing target recognition. IEEE Geoscience & Remote Sensing Letters 8(2):374–378

    Article  Google Scholar 

  48. Zhang K, Wang M, Yang SY, Xing YH, Qu R (2016) Fusion of panchromatic and multispectral images via coupled sparse non-negative matrix factorization. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing 9(12):5740–5747

    Article  Google Scholar 

  49. Zhu XX, Bamler R (2013) A sparse image fusion algorithm with application to pan-sharpening. IEEE Transactions on Geoscience & Remote Sensing 51(5):2827–2836

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the anonymous reviewers and the editor for suggesting various changes. And this work was supported by the National Natural Science Foundation of China (No. 81473559), the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2017JM6086), the Science Basic Research Program in Shaanxi Province of China (No. 16JK1823), the Innovation Program in Shaanxi Province of China (No. 2018KRM145), the Science Basic Research Program in Xianyang Normal University of China (No. XSYK18012).

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Correspondence to Hong Li.

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Li, H., Li, W. & Liu, S. Pansharpening with support vector transform and semi-nonnegative matrix factorization. Multimed Tools Appl 78, 7563–7578 (2019). https://doi.org/10.1007/s11042-018-6499-y

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