325
Views
12
CrossRef citations to date
0
Altmetric
Articles

A novel nonlinear hyperspectral unmixing approach for images of oil spills at sea

, , &
Pages 4684-4701 | Received 07 Aug 2019, Accepted 14 Nov 2019, Published online: 27 Feb 2020

References

  • Altmann, Y., A. Halimi, N. Dobigeon, and J.-Y. Tourneret. 2012. “Supervised Nonlinear Spectral Unmixing Using a Postnonlinear Mixing Model for Hyperspectral Imagery.” IEEE Transactions on Image Processing 21 (6): 3017–3025. doi:10.1109/TIP.2012.2187668.
  • Bachmann, C. M., and T. L. Ainsworth. 2005. “Exploiting Manifold Geometry in Hyperspectral Imagery.” IEEE Transactions on Geoscience and Remote Sensing 43 (3): 441–454. doi:10.1109/tgrs.2004.842292.
  • Bachmann, C. M., T. L. Ainsworth, and R. A. Fusina. 2006. “Improved Manifold Coordinate Representations of Large-Scale Hyperspectral Scenes.” IEEE Transactions on Geoscience and Remote Sensing 44 (10): 2786–2803. doi:10.1109/tgrs.2006.881801.
  • Banerjee, A., and P. Burlina. 2007. “A Machine Learning Approach for Finding Hyperspectral Endmembers.” Proceedings of the IGARSS 2007, Barcelona, July 23–28. doi:10.1109/IGARSS.2007.4423675.
  • Bianchi, R., R. M. Cavalli, C. M. Marino, S. Pignatti, and M. Poscolieri. 1995. “Use of Airborne Hyperspectral Images to Assess the Spatial Distribution of Oil Spilled during the Trecate Blow-out (Northern Italy).” Proceedings of SPIE 1995, Paris, November 24.
  • Broadwater, J., and A. Banerjee. 2011. “Mapping Intimate Mixtures Using An Adaptive Kernel-Based Technique.” Proceedings of Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, Lisbon, June 6–9. doi:10.1109/WHISPERS.2011.6080881.
  • Broadwater, J., R. Chellappa, A. Banerjee, and P. Burlina. 2007. “Kernel Fully Constrained Least Squares Abundance Estimates.” Proceedings of the IGARSS, Barcelona, July 23–27. doi:10.1109/igarss.2007.4423736.
  • Chen, J. B., and M. Z. Qin. 2001. “Multi-symplectic Fourier Pseudospectral Method for the Nonlinear Schrodinger Equation.” Electronic Transactions on Numerical Analysis 12: 193–204.
  • Close, R., P. Gader, J. Wilson, and A. Zare. 2012. “Using Physics-based Macroscopic and Microscopic Mixture Models for Hyperspectral Pixel Unmixing.” Proceedings of SPIE Algorithms Technol. Multispectral, Hyperspectral, Ultraspectral Imagery XVIII, Florida, June 25. doi:10.1117/12.919583.
  • Dobigeon, N., J.-Y. Tourneret, C. Richard, J. C. M. Bermudez, S. McLaughlin, and A. O. Hero. 2014. “Nonlinear Unmixing of Hyperspectral Images: Models and Algorithms.” IEEE Signal Processing Letters 31 (1): 82–94. doi:10.1109/MSP.2013.2279274.
  • Fan, W., B. Hu, J. Miller, and M. Li. 2009. “Comparative Study between a New Nonlinear Model and Common Linear Model for Analysing Laboratory Simulated-forest Hyperspectral Data.” International Journal of Remote Sensing 30 (11): 2951–2962. doi:10.1080/01431160802558659.
  • Green, R. O., M. L. Eastwood, C. M. Sarture, T. G. Chrien, M. Aronsson, B. J. Chippendale, J. A. Faust, et al. 1998. “Imaging Spectroscopy and the Airborne Visible/infrared Imaging Spectrometer (AVIRIS).” Remote Sensing of Environment 65 (3): 227–248. doi:10.1016/S0034-4257(98)00064-9.
  • Gruninger, J., A. J. Ratkowski, and M. L. Hoke. 2004. “The Sequential Maximum Angle Convex Cone (SMACC) Endmember Model.” Proceedings of the Conference on Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery X, Orlando, April 12–15.
  • Guilfoyle, K. J., M. L. Althouse, and C.-I. Chang. 2001. “A Quantitative and Comparative Analysis of Linear and Nonlinear Spectral Mixture Models Using Radial Basis Function Neural Networks.” IEEE Transactions on Geoscience and Remote Sensing 39 (8): 2314–2318. doi:10.1109/36.957296.
  • Halimi, A., Y. Altmann, N. Dobigeon, and J. Y. Tourneret. 2011. “Nonlinear Unmixing of Hyperspectral Images Using a Generalized Bilinear Model.” IEEE Transactions on Geoscience and Remote Sensing 49 (11): 4153–4162. doi:10.1109/SSP.2011.5967718.
  • Hapke, B. 1981. “Bidirectional Reflectance Spectroscopy. I. Theory.” Journal of Geophysical Research 86 (B4): 3039–3054. doi:10.1029/JB086iB04p03039.
  • Hapke, B. 1984. “Bidirectional Reflectance Spectroscopy, 3: Correction for Macroscopic Roughness.” Icarus 59: 41–59. doi:10.1016/0019-1035(84)90054-X.
  • Hapke, B. 1986. “Bidirectional Reflectance Spectroscopy, 4: The Extinction Coefficient and Opposition Effect.” Icarus 67: 264–280. doi:10.1016/0019-1035(86)90108-9.
  • Hapke, B. 1999. “Scattering and Diffraction of Light by Particles in Planetary Regoliths.” Journal of Quantitative Spectroscopy and Radiative Transfer 61: 565–581. doi:10.1016/s0022-4073(98)00042-9.
  • Heylen, R., and P. Gader. 2014. “Nonlinear Spectral Unmixing with a Linear Mixture of Intimate Mixtures Model.” IEEE Geoscience and Remote Sensening Letters 11 (7): 1195–1199. doi:10.1109/LGRS.2013.2288921.
  • Heylen, R., M. Parente, and P. Gader. 2014. “A Review of Nonlinear Hyperspectral Unmixing Methods.” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 7 (6): 1844–1868. doi:10.1109/JSTARS.2014.2320576.
  • Imbiriba, T., J. C. M. Bermudez, and C. Richard. 2017. “Band Selection for Nonlinear Unmixing of Hyperspectral Images as a Maximal Clique Problem.” IEEE Transactions on Image Processing 26 (5): 2179–2191. doi:10.1109/TIP.2017.2676344.
  • Ira, L., W. J. Lehr, and S.-B. Debra. 2012. “State of the Art Satellite and Airborne Marine Oil Spill Remote Sensing: Application to the BP Deepwater Horizon Oil Spill.” Remote Sensing of Environment 124: 185–209. doi:10.1016/j.rse.2012.03.024.
  • Kokaly, R. F., B. R. Couvillion, J. M. Holloway, D. A. Roberts, S. L. Ustin, S. H. Peterson, S. Khanna, and S. C. Piazza. 2013. “Spectroscopic Remote Sensing of the Distribution and Persistence of Oil from the Deepwater Horizon Spill in Barataria Bay Marshes.” Remote Sensing of Environment 129 (2013): 210–230. doi:10.1016/j.rse.2012.10.028.
  • Kumar, U., S. Ganguly, R. R. Nemani, K. S. Raja, C. Milesi, R. Sinha, A. Michaelis, et al. 2017. “Exploring Subpixel Learning Algorithms for Estimating Global Land Cover Fractions from Satellite Data Using High Performance Computing.” Remote Sensing 9: 11. doi:10.3390/rs9111105.
  • Li, J., and J. M. Bioucas-Dias. 2008. “Minimum Volume Simplex Analysis: A Fast Algorithm to Unmix Hyperspectral Data.” Proceedings of 2008 IEEE International Geoscience and Remote sensing Symposium (IGARSS), Boston, July 7–11.
  • Li, X., J. Cui, and L. Zhao. 2014. “Blind Nonlinear Hyperspectral Unmixing Based on Constrained Kernel Nonnegative Matrix Factorization.” Signal, Image and Video Processing 8: 1555–1567. doi:10.1007/s11760-012-0392-3.
  • Liu, B., Y. Li, C. Liu, F. Xie, and J. Puller. 2018. “Hyperspectral Features of Oil Polluted Sea Ice and the Response to the Contamination Area Fraction.” Sensors 18 (1): 234–250. doi:10.3390/s18010234.
  • Marinoni, A., and P. Gamba. 2015. “A Novel Approach for Efficient P-linear Hyperspectral Unmixing.” IEEE Journal of Selected Topics in Signal Processing 9 (6): 1156–1168. doi:10.1109/JSTSP.2015.2416693.
  • Marinoni, A., and P. Gamba. 2016. “Accurate Detection of Anthropogenic Settlements in Hyperspectral Images by Higher Order Nonlinear Unmixing.” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 9 (5): 1792–1801. doi:10.1109/jstars.2015.2504048.
  • Marinoni, A., and P. Gamba. 2017. “On the Direct Assessment of Endmember Fractions in Hyperspectral Images.” Proceedings of the IGARSS 2017, Fort Worth, July 23–28.
  • Marinoni, A., A. Plaza, and P. Gamba. 2016. “Harmonic Mixture Modeling for Efficient Nonlinear Hyperspectral Unmixing.” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 9 (9): 4247–4256. doi:10.1109/JSTARS.2016.2514740.
  • Marinoni, A., J. Plaza, A. Plaza, and P. Gamba. 2015. “Nonlinear Hyperspectral Unmixing Using Nonlinearity Order Estimation and Polytope Decomposition.” IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 8 (6): 2644–2654. doi:10.1109/JSTARS.2015.2427517.
  • Meganem, I., P. Deliot, X. Briottet, Y. Deville, and S. Hosseini. 2014. “Linear-quadratic Mixing Model for Reflectances in Urban Environments.” IEEE Transactions on Geoscience Remote Sensing 52 (1): 544–558. doi:10.1109/TGRS.2013.2242475.
  • Mustard, J. F., and C. M. Pieters. 1987. “Quantitative Abundance Estimates From Bidirectional Reflectance Measurements.” Journal of Geophysical Research 92 (B4): 617–626. doi:10.1029/jb092ib04p0e617.
  • Mustard, J. F., and C. M. Pieters. 1989. “Photometric Phase Functions of Common Geologic Minerals and Applications to Quantitative Analysis of Mineral Mixture Reflectance Spectra.” Journal of Geophysical Research 94 (B10): 13619–13634. doi:10.1029/jb094ib10p13619.
  • Nascimento, J. M. P., and J. M. B. Dias. 2005. “Vertex Component Analysis: A Fast Algorithm to Unmix Hyperspectral Data.” IEEE Transactions on Geoscience and Remote Sensing 43 (4): 898–910. Apr. doi:10.1109/TGRS.2005.84429.
  • Nascimento, J. M. P., and J. M. B. Dias. 2009. “Nonlinear Mixture Model for Hyperspectral Unmixing.” Proceedings of SPIE Image Signal Processing for Remote Sensing XV, Berlin, August 31.
  • Nash, D. B., and J. E. Conel. 1974. “Spectral Reflectance Systematics for Mixtures of Powdered Hypersthene, Labradorite, and Ilmenite.” Journal of Geophysical Research 79 (11): 1615–1621. doi:10.1029/jb079i011p01615.
  • Peterson, S. H., D. A. Roberts, and M. Beland. 2015. “Oil Detection in the Coastal Marshes of Louisiana Using MESMA Applied to Band Subsets of AVIRIS Data.” Remote Sensing of Environment 159: 222–231. doi:10.1016/j.rse.2014.12.009.
  • Plaza, J., and A. Plaza. 2007. “Joint Linear/nonlinear Spectral Unmixing of Hyperspectral Image Data.” Proceedings of the IGARSS 2007, Barcelona, July 23–27. doi:10.1109/IGARSS.2007.4423735.
  • Rahman, M. T., and M. S. Alam. 2007. “Nonlinear Unmixing of Hyperspectral Data Using BDRF and Maximum Likelihood Algorithm.” Proceedings of the SPIE Automatic Target Recognition XVII, Orlando, May 7. doi:10.1117/12.720231.
  • Roberts, D. A., M. O. Smith, and J. B. Adams. 1993. “Green Vegetation, Nonphotosynthetic Vegetation, and Soils in AVIRIS Data.” Remote Sensing of Environment 44: 255–269. doi:10.1016/0034-4257(93)90020-X.
  • Seyyedsalehi, S. F., H. R. Rabiee, A. Soltani-Farani, and A. Zarezade. 2007. “A Probabilistic Joint Sparse Regression Model for Semisupervised Hyperspectral Unmixing.” IEEE Geoscience and Remote Sensing Letters 14 (5): 592–596. doi:10.1109/LGRS.2017.2649418.
  • Singer, R. B. 1981. “Near-infrared Spectral Reflectance of Mineral Mixtures: Systematic Combinations of Pyroxenes, Olivine, and Iron Oxides.” Journal of Geophysical Research 86 (B9): 7967–7982. doi:10.1029/jb086ib09p07967.
  • Tezaur, R., L. Zhang, and C. Farha. 2008. “A Discontinuous Enrichment Method for Capturing Evanescent Waves in Multiscale Fluid and Fluid/solid Problems.” Computer Methods in Applied Mechanics and Engineering 197 (2008): 1680–1698. doi:10.1016/j.cma.2007.08.023.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.