Spectral Unmixing of Hyperspectral Images in the Presence of Small Targets

  • Sylvain Ravel Aix Marseille Univ
  • Caroline Fossati Aix Marseille Univ
  • Salah Bourennane Aix Marseille Univ
Article ID: 3467
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Keywords: Hyperspectral, Unmixing, detection, Rare pixel, Non-negative matrix factorization, Endmember

Abstract

Generally, the content of the hyperspectral image pixel is a mixture of the reflectance spectra of the different components in the imaged scene. In this paper, we consider a linear mixing model where the pixels are linear combina_x005ftions of those reflectance spectra, called endmembers, and linear coefficients corresponding to their abundances. An important issue in hyperspectral imagery consists in unmixing those pixels to retrieve the endmembers and their corresponding abundances. We consider the unmixing issue in the presence of small targets, that is, their endmembers are only contained in few pixels of the image. We introduce a thresholding method relying on Non-negative Matrix Factorization to detect pixels containing rare endmembers. We propose two resampling methods based on bootstrap for spectral unmixing of hyperspectral images to retrieve both the dominant and rare endmembers. Our experimental results on both simulated and real world data demonstrate the efficiency of the proposed method to estimate correctly all the endmembers present in hyperspectral images, in particular the rare endmembers.

References

1. C. C. Borel and S. A. W. Gerstl. Nonlinear spectral

mixing models for vegetative and soil surfaces.

Remote Sensing of Environment, 47(3), pp. 403–

416, March 1994.

2. H. J Chauhan and B. K. Mohan. Development of

Agricultural Crops Spectral Library and Classifica_x005ftion of Crops Using Hyperion Hyperspectral Data.

Journal of Remote Sensing Technology, pp. 9–12,

May 2013.

3. X. Chen, T. A. Warner, D. J. Campagna, Integrating

visible, near-infrared and short-wave infrared hyperspectral and mul multispectral thermal imagery

for geological mapping at Cuprite, Nevada, Remote

Sensing of Environment, 110 (3), pp. 344-356,

2007.

4. S. Asadzadeh, C. R. De Souza Filho, A review on

spectral processing methods for geological remote

sensing, International Journal of Applied Earth Observation and Geoinformation, 47, pp. 69-90,

2016

5. D. C. Heinz and C.-I-Chang. Fully constrained least

squares linear spectral mixture analysis method for

material quantification in hyperspectral imagery.

IEEE Transactions on Geoscience and Remote

Sensing, 39(3), pp. 529–545, March 2001.

6. D. Manolakis, C. Siracusa, and G. Shaw. Hyperspectral subpixel target detection using the linear

mixing model. IEEE Transactions on Geoscience

and Remote Sensing, 39(7), pp. 1392–1409, July

2001.

7. J. M. Bioucas-Dias, A. Plaza, N. Dobigeon, M.

Parente, Q. Du, P. Gader, and J. Chanussot. Hyperspectral unmixing overview: Geometrical, statistical,

and sparse regression-based approaches. IEEE

Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 5(2), pp. 354–379,

April 2012.

8. J. M. Bioucas-Dias, A. Plaza, G. Camps-Valls, P.

Scheunders, N. Nasrabadi and J. Chanussot.

Hyperspectral remote sensing data analysis and future challenges. IEEE Geoscience and remote sensing magazine, 1 (2), pp. 6-36, June 2013.

9. N. Keshava and J. F. Mustard. Spectral unmixing.

IEEE Signal Processing Magazine, 19(1), pp. 44–57,

2002.

10. W. Wang and G. Cai. Endmember extraction by

pure pixel index algorithm from hyperspectral im_x005fage, Proc. SPIE 7157, 2008 International Conference on Optical Instruments and Technology: Advanced Sensor Technologies and

tions, 71570E, February 2009. DOI:

10.1117/12.811953

11. M. E. Winter. N-Findr: An algorithm for fast autonomous spectral end-member determination in

hyperspectral data. Proc. SPIE 3753, Imaging Spectrometry V, 3753, pp. 266–275, 1999.

12. J.M.P. Nascimento and J.M. Bioucas-Dias. Vertex

component analysis: a fast algorithm to unmix hyperspectral data. IEEE Transactions on Geoscience

and Remote Sensing, 43(4), pp. 898–910, April

2005.

13. X. Jiang, Y. Jiang, F. Wu, and F. Wu. Quantitative

Interpretation of Mineral Hyperspectral Images

Based on Principal Component Analysis and Independent Component Analysis Methods. Applied

Spectroscopy, 68(4), pp. 502–509, April 2014.

14. J.M.P. Nascimento and J.M. Bioucas-Dias. Does

independent component analysis play a role in unmixing hyperspectral data? IEEE Transactions on

Geoscience and Remote Sensing, 43(1), pp. 175–

187, January 2005.

15. M. Arngren, M. N. Schmidt, and J. Larsen. Unmixing of Hyperspectral Images using Bayesian

Non-negative Matrix Factorization with Volume

Prior. Journal of Signal Processing Systems, 65(3),

pp. 479–496, December 2011.

16. W. Tang, Z. Shi, Y. Wu, and C. Zhang. Sparse Unmixing of Hyperspectral Data Using Spectral A Priori Information. IEEE Transactions on Geoscience

and Remote Sensing, 53(2), pp. 770–783, February

2015.

17. J. Li, J. M. Bioucas-Dias, A. Plaza, and L. Liu.

Robust Collaborative Nonnegative Matrix Factorization for Hyperspectral Unmixing. IEEE Transactions on Geoscience and Remote Sensing, 54(10):

pp. 6076–6090, October 2016.

18. N. Acito, M. Diani, and G. Corsini. Hyperspectral

Signal Subspace Identification in the Presence of

Rare Signal Components. IEEE Transactions on

Geoscience and Remote Sensing, 48(4): pp. 1940–

1954, April 2010.

19. A. Zidi, J. Marot, S. Bourennane, and K. Spinnler.

Bio-Inspired Optimization Algorithms for Automatic Estimation of Multiple Subspace Dimensions in a

Tensor-Wavelet Denoising Algorithm. Journal of

Remote Sensing Technology, 4, pp. 90-114, De_x0002_cember 2016.

20. N. M. Nasrabadi. Hyperspectral target detection :

An overview of current and future challenges. IEEE

Signal Processing Magazine, 31(1), pp. 34–44, Jan

2014.

21. A. M. Zoubir and D. R. Iskandler. Bootstrap methods and applications. IEEE Signal Processing Magazine, 24(4):pp. 10–19, July 2007.

22. S. Kawaguchi and R. Nishii. Hyperspectral Image

Classification by Bootstrap AdaBoost With Random

Decision Stumps. IEEE Transactions on Geoscience

and Remote Sensing, 45(11), pp. 3845–3851, November 2007.

23. A. Cichocki, R. Zdunek, A.H. Phan, and S.I. Amari.

Nonnegative matrix and tensor factorizations: applications to exploratory multi-way data analysis

and blind source separation. John Wiley, Chichester,

U.K, 2009. OCLC: ocn320432452.

24. R. Zdunek and A. Cichocki. Non-negative matrix

factorization with quasi-Newton optimization. In

Artificial Intelligence and Soft Computing ICAISC

2006, pp. 870–879. Springer, 2006.

25. O. Kuybeda, D. Malah, and M. Barzohar. Rank

Estimation and Redundancy Reduction of

High-Dimensional Noisy Signals With Preservation

of Rare Vectors. IEEE Transactions on Signal Processing, 55(12), pp. 5579–5592, December 2007.

26. J.M. Bioucas-Dias and J.M.P. Nascimento. Hyper_x005fspectral Subspace Identification. IEEE Transactions

on Geoscience and Remote Sensing, 46(8), pp.

2435–2445, August 2008.

27. S. Ravel, S. Bourennane, and C. Fossati. Hyperspectral images unmixing with rare signals. In 2016

6th European Workshop on Visual Information

Processing (EUVIP), pp. 1–5, October 2016.

28. J. Juan, C. Fossati, and S. Bourennane. Efficient

Noise Reduction Method Based on Multilinear

Tools for Hyperspectral Imagery. Journal of Remote

Sensing Technology, 3(2), pp. 22, 2015.

29. S. Sukhanov, A. Merentitis, C. Debes, J. Hahn, and

A. M. Zoubir. Bootstrap-based SVM aggregation

for class imbalance problems. In 2015 23rd European Signal Processing Conference (EUSIPCO), pp.

165–169, August 2015.

30. C. Fossati, S. Bourennane, and A. Cailly. Unmixing

improvement based on bootstrap for hyperspectral

imagery. In 2016 6th European Workshop on Visual

Information Processing (EUVIP), pp. 1–5, October

2016.

31. J. Kim, Y. He, and H. Park. Algorithms for

nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent

framework. Journal of Global Optimization, 58(2),

pp. 285–319, February 2014.

32. R. N. Clark, G. A Swayze, R. Wise, K. E. Livo, T.

Hoefen, R. F. Kokaly, and S. J. Sutley. USGS digital

spectral library splib06a. US Geological Survey,

Digital Data Series, 231, 2007.

33. R. W. Basedow, D. C. Carmer, and M. E. Anderson,

HYDICE system: implementation and performance,

In SPIE's 1995 Symposium on OE/Aerospace

Sensing and Dual Use Photonics. International So_x005fciety for Optics and Photonics, 12 June 1995.

34. C. I. Chang, S. S. Chiang, James A. Smith, and

Irving W. Ginsberg. Linear spectral random mixture

analysis for hyperspectral imagery. IEEE transactions on geoscience and remote sensing, 40(2), pp.

375–392, 2002.

Published
2024-02-27
How to Cite
Ravel, S., Fossati, C., & Bourennane, S. (2024). Spectral Unmixing of Hyperspectral Images in the Presence of Small Targets. Remote Sensing, 13(1). https://doi.org/10.18282/rs.v13i1.3467
Section
Original Research Articles