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Sharpening Hyperspectral Images Using Spatial and Spectral Priors in a Plug-and-Play Algorithm

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Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR 2017)

Abstract

This paper proposes using both spatial and spectral regularizers/priors for hyperspectral image sharpening. Leveraging the recent plug-and-play framework, we plug two Gaussian-mixture-based denoisers into the iterations of an alternating direction method of multipliers (ADMM): a spatial regularizer learned from the observed multispectral image, and a spectral regularizer trained using the hyperspectral data. The proposed approach achieves very competitive results, improving the performance over using a single regularizer. Furthermore, the spectral regularizer can be used to classify the image pixels, opening the door to class-adapted models.

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Notes

  1. 1.

    https://speclab.cr.usgs.gov/spectral-lib.html.

References

  1. Afonso, M., Bioucas-Dias, J., Figueiredo, M.: Fast image recovery using variable splitting and constrained optimization. IEEE Trans. Image Process. 19, 2345–2356 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Achanta, R., Shaji, A., Smith, K., Lucchi, A., Fua, P., Ssstrunk, S.: SLIC superpixels compared to state-of-the-art superpixel methods. IEEE Trans. Pattern Anal. Mach. Intell. 34, 2274–2282 (2012)

    Article  Google Scholar 

  3. Bauschke, H., Combettes, P.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer, Heidelberg (2011). https://doi.org/10.1007/978-1-4419-9467-7

    Book  MATH  Google Scholar 

  4. Bioucas-Dias, J., Nascimento, J.: Hyperspectral subspace identification. IEEE Trans. Geosci. Remote Sens. 46, 2435–2445 (2008)

    Article  Google Scholar 

  5. Bioucas-Dias, J., Plaza, A., Dobigeon, N., Parente, M., Du, Q., Gader, P., Chanussot, J.: Hyperspectral unmixing overview: geometrical, statistical, and sparse regression-based approaches. IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens. 5, 354–379 (2012)

    Article  Google Scholar 

  6. Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3, 1–122 (2011)

    Article  MATH  Google Scholar 

  7. Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE Trans. Pattern Anal. Mach. Intell. 23, 1222–1239 (2001)

    Article  Google Scholar 

  8. Brifman, A., Romano, Y., Elad, M.: Turning a denoiser into a super-resolver using plug and play priors. In: IEEE ICIP (2016)

    Google Scholar 

  9. Chan, S., Wang, X., Elgendy, O.: Plug-and-play ADMM for image restoration: fixed point convergence and applications. IEEE Trans. Comput. Imaging PP(99), 1 (2016)

    Google Scholar 

  10. Green, A., Berman, M., Switzer, P., Craig, M.: A transformation for ordering multispectral data in terms of image quality with implications for noise removal. IEEE Trans. Geosci. Remote Sens. 26, 65–74 (1988)

    Article  Google Scholar 

  11. Jolliffe, I.: Principal Component Analysis. Springer, New York (1986). https://doi.org/10.1007/b98835

    Book  MATH  Google Scholar 

  12. Landgrebe, D.: Signal Theory Methods in Multispectral Remote Sensing. Wiley, Hoboken (2003)

    Book  Google Scholar 

  13. Loncan, L., Almeida, L., Bioucas-Dias, J., Briottet, X., Chanussot, J., Dobigeon, N., Fabre, S., Liao, W., Licciardi, G., Simões, M., Tourneret, J.-Y., Veganzones, M., Vivone, G., Wei, Q., Yokoya, N.: Hyperspectral pansharpening: a review. IEEE Geosci. Remote Sens. Mag. 3, 27–46 (2015)

    Article  Google Scholar 

  14. Nascimento, J., Bioucas-Dias, J.: Vertex component analysis: a fast algorithm to unmix hyperspectral data. IEEE Trans. Geosci. Remote Sens. 43, 898–910 (2005)

    Article  Google Scholar 

  15. Romano, Y., Elad, M., Milanfar, P.: The little engine that could: regularization by denoising (RED) arXiv:1611.02862 (2016)

  16. Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Phys. D: Nonlinear Phenom. 60, 259–268 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  17. Simões, M., Bioucas-Dias, J., Almeida, L., Chanussot, J.: A convex formulation for hyperspectral image superresolution via subspace-based regularization. IEEE Trans. Geosci. Remote Sens. 55, 3373–3388 (2015)

    Article  Google Scholar 

  18. Sreehari, S., Venkatakrishnan, S., Wohlberg, B., Buzzard, G., Drummy, L., Simmons, J., Bouman, C.: Plug-and-play priors for bright field electron tomography and sparse interpolation. IEEE Trans. Comput. Imaging 2(4), 408–423 (2016)

    MathSciNet  Google Scholar 

  19. Teodoro, A., Almeida, M., Figueiredo, M.: Single-frame image denoising and inpainting using Gaussian mixtures. In: ICPRAM, pp. 283–288 (2015)

    Google Scholar 

  20. Teodoro, A., Bioucas-Dias, J., Figueiredo, M.: Image restoration and reconstruction using variable splitting and class-adapted image priors. In: IEEE-ICIP (2016)

    Google Scholar 

  21. Teodoro, A., Bioucas-Dias, J., Figueiredo, M.: Image restoration with locally selected class-adapted models. In: IEEE-MLSP (2016)

    Google Scholar 

  22. Teodoro, A., Bioucas-Dias, J., Figueiredo, M.: Sharpening hyperspectral images using plug-and-play priors. In: Tichavský, P., Babaie-Zadeh, M., Michel, O., Thirion-Moreau, N. (eds.) LVA/ICA 2017. LNCS, vol. 10169, pp. 392–402. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-53547-0_37

    Chapter  Google Scholar 

  23. Teodoro, A., Bioucas-Dias, J., Figueiredo, M.: Hyperspectral sharpening using scene-adapted Gaussian mixture priors. Preprint arXiv:1702.02445 (2017)

  24. Venkatakrishnan, S., Bouman, C., Chu, E., Wohlberg, B.: Plug-and-play priors for model based reconstruction. In: IEEE GlobalSIP, pp. 945–948 (2013)

    Google Scholar 

  25. Wei, Q., Bioucas-Dias, J., Dobigeon, N., Tourneret, J.-Y.: Hyperspectral and multispectral image fusion based on a sparse representation. IEEE Trans. Geosci. Remote Sens. 53, 3658–3668 (2015)

    Article  Google Scholar 

  26. Yokoya, N., Grohnfeldt, C., Chanussot, J.: Hyperspectral and multispectral data fusion: a comparative review. IEEE Geosci. Remote Sens. Mag. 5, 29–56 (2017)

    Article  Google Scholar 

  27. Yu, G., Sapiro, G., Mallat, S.: Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. IEEE Trans. Image Process. 21, 2481–2499 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  28. Zoran, D., Weiss, Y.: From learning models of natural image patches to whole image restoration. In: IEEE-CVPR, pp. 479–486 (2011)

    Google Scholar 

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Acknowledgments

This work was partially supported by Fundação para a Ciência e Tecnologia (FCT), grants BD/102715/2014, UID/EEA/5008/2013, and ERANETMED/0001/2014. The authors would like to thank Prof. N. Yokoya for providing the datasets [26].

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Correspondence to Mário A. T. Figueiredo .

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Teodoro, A.M., Bioucas-Dias, J.M., Figueiredo, M.A.T. (2018). Sharpening Hyperspectral Images Using Spatial and Spectral Priors in a Plug-and-Play Algorithm. In: Pelillo, M., Hancock, E. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2017. Lecture Notes in Computer Science(), vol 10746. Springer, Cham. https://doi.org/10.1007/978-3-319-78199-0_24

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  • DOI: https://doi.org/10.1007/978-3-319-78199-0_24

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