MUSIC-CSR: Hyperspectral unmixing via multiple signal classification and collaborative sparse regression

IEEE Transactions on Geoscience and Remote Sensing

Volumn 52, Issue 7, 2014, Pages 4364-4382

  Iordache, Marian Daniel ^a   Bioucas Dias, Jose M ^b   Plaza, Antonio ^c   Somers, Ben ^a,d  

^a FLEMISH INSTITUTE FOR TECHNOLOGICAL RESEARCH VITO   (Belgium)

^b INSTITUTO DE TELECOMUNICAÇÕES   (Portugal)

^c UNIVERSITY OF EXTREMADURA   (Spain)

^d UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Array signal processing; collaborative sparse regression (CSR); dictionary pruning; hyperspectral imaging; hyperspectral unmixing; multiple signal classification (MUSIC); sparse regression; sparse unmixing; spectral libraries

Indexed keywords

ALGORITHMS; DISTRIBUTED COMPUTER SYSTEMS; LIBRARIES; PIXELS; SPECTROSCOPY; WAVELET ANALYSIS;

ARRAY SIGNAL PROCESSING; HYPERSPECTRAL IMAGING; HYPERSPECTRAL UNMIXING; MULTIPLE SIGNAL CLASSIFICATION; SPARSE REGRESSION; SPECTRAL LIBRARIES; UNMIXING;

REGRESSION ANALYSIS;

ALGORITHM; IMAGE CLASSIFICATION; PIXEL; REGRESSION ANALYSIS; SIGNAL PROCESSING; SIMULATION; SPECTRAL REFLECTANCE;

EID: 84898600161     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2013.2281589     Document Type: Article

References (47)

1. J. Adams, M. Smith, and P. Johnson, "Spectral mixture modeling: A new analysis of rock and soil types at the Viking Lander 1 site," J. Geophys. Res., vol. 91, no. B8, pp. 8098-8112, Jul. 1986.
2. D. Heinz and C.-I. Chang, "Fully constrained least squares linear mixture analysis for material quantification in hyperspectral imagery," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 3, pp. 529-545, Mar. 2001. (Pubitemid 32400422)
3. N. Keshava and J. Mustard, "Spectral unmixing," IEEE Signal Process. Mag., vol. 19, no. 1, pp. 44-57, Jan. 2002. (Pubitemid 34237207)
4. 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 J. Sel. Topics Appl. Earth Observ. Remote Sens., vol. 5, no. 2, pp. 354-379, Apr. 2011.
5. D. Iordache, J. Bioucas-Dias, and A. Plaza, "Sparse unmixing of hyperspectral data," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 6, pp. 2014-2039, Jun. 2011.
6. D. Iordache, "A sparse regression approach to hyperspectral unmixing," Ph.D. dissertation, Inst. Superior Tecnico, TU Lisbon, Lisbon, Portugal, 2011. [Online]. Available: http://www.lx.it.pt/~bioucas/files/PhD- Daniel-sparse-regression-2011.pdf
7. D. Donoho and M. Elad, "Optimal sparse representation in general (nonorthogonal) dictionaries via l1 minimization," Proc. Nat. Acad. Sci. USA, vol. 100, no. 5, pp. 2197-2202, Mar. 2003. (Pubitemid 36297476)
8. E. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, Aug. 2006. (Pubitemid 43988295)
9. F. D. van der Meer and X. Jia, "Collinearity and orthogonality of endmembers in linear spectral unmixing," Int. J. Appl. Earth Observ. Geoinf., vol. 18, pp. 491-503, Aug. 2012.
10. X. Chen, J. Chen, X. Jia, B. Somers, J. Wu, and P. Coppin, "A quantitative analysis of virtual endmembers' increased impact on the collinearity effect in spectral unmixing," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 8, pp. 2945-2956, Aug. 2011.
11. D. Iordache, J. M. Bioucas-Dias, and A. Plaza, "Total variation spatial regularization for sparse hyperspectral unmixing," IEEE Trans. Geosci. Remote Sens., vol. 50, no. 11, pp. 4484-4502, Nov. 2012.
12. D. Iordache, J. Bioucas-Dias, and A. Plaza, "Hyperspectral unmixing with sparse group lasso," in Proc. IEEE IGARSS, Vancouver, BC, Canada, 2011, pp. 3586-3589.
13. P. Sprechmann, I. Ramirez, G. Sapiro, and Y. Eldar, "C-Hilasso: A collaborative hierarchical sparse modeling framework," IEEE Trans. Signal Process., vol. 59, no. 9, pp. 4183-4198, Sep. 2011.
14. D. Iordache, J. Bioucas-Dias, and A. Plaza, "Collaborative sparse regression for hyperspectral unmixing," IEEE Trans. Geosci. Remote Sens., to be published.
15. J. M. Kim, O. K. Lee, and J. C. Ye, "Compressive music with optimized partial support for joint sparse recovery," in Proc. IEEE ISIT, Aug. 2011, pp. 658-662.
16. J. M. Kim, O. K. Lee, and J. C. Ye, "Compressive music: A missing link between compressive sensing and array signal processing," arXiv:1004.4398v5, Jun. 2011.
17. Y. Eldar and H. Rauhut, "Average case analysis of multichannel sparse recovery using convex relaxation," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 505-519, Jan. 2010.
18. J. Chen and X. Huo, "Theoretical results on sparse representations of multiple measurement vectors," IEEE Trans. Signal Process., vol. 54, no. 12, pp. 4634-4643, Dec. 2006. (Pubitemid 46405606)
19. A. G. J. Tropp and M. Strauss, "Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit," Signal Process., vol. 86, no. 3, pp. 572-588, Mar. 2006. (Pubitemid 43106572)
20. S. Cotter, B. Rao, K. Engan, and K. Kreutz-Delgado, "Sparse solutions to linear inverse problems with multiple measurement vectors," IEEE Trans. Signal Process., vol. 53, no. 7, pp. 2477-2488, Jul. 2005. (Pubitemid 41174440)
21. D. Malioutov, M. Çetin, and A. Willsky, "A sparse signal reconstruction perspective for source localization with sensor arrays," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 3010-3022, Aug. 2005. (Pubitemid 41372811)
22. J. Tropp, "Algorithms for simultaneous sparse approximation. Part II: Convex relaxation," Signal Process., vol. 86, no. 3, pp. 589-602, Mar. 2006. (Pubitemid 43106573)
23. D. Wipf and B. Rao, "An empirical Bayesian strategy for solving the simultaneous sparse approximation problem," IEEE Trans. Signal Process., vol. 55, no. 7, pp. 3704-3716, Jul. 2007. (Pubitemid 47018850)
24. M. Mishali and Y. Eldar, "Reduce and boost: Recovering arbitrary sets of jointly sparse vectors," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4692-4702, Oct. 2008.
25. Y. Eldar, P. Kuppinger, and H. Bolcskei, "Block-sparse signals: Uncertainty relations and efficient recovery," IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3042-3054, Jun. 2010.
26. R. Baraniuk, V. Cevher, M. Duarte, and C. Hegde, "Model-based compressive sensing," IEEE Trans. Inf. Theory, vol. 56, no. 4, pp. 1982-2001, Apr. 2010.
27. R. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. AP-34, no. 3, pp. 276-280, Mar. 1986. (Pubitemid 16613653)
28. G. Bienvenu and L. Kopp, "Adaptivity to background noise spatial coherence for high resolution passive methods," in Proc. IEEE ICASSP, 1980, vol. 5, pp. 307-310. (Pubitemid 11426323)
29. P. Stoica and N. Arye, "MUSIC, maximum likelihood, and Cramer-Rao bound," IEEE Trans. Acoust., Speech Signal Process., vol. 37, no. 5, pp. 720-741, May 1989.
30. H. Krim andM. Viberg, "Two decades of array signal processing research: The parametric approach," IEEE Signal Process. Mag., vol. 13, no. 4, pp. 67-94, Jul. 1996. (Pubitemid 126518980)
31. J. Nascimento and J. Bioucas-Dias, "Hyperspectral subspace identification," IEEE Trans. Geosci. Remote Sens., vol. 46, no. 10, pp. 2435-2445, Aug. 2008.
32. M. Davies and Y. Eldar, "Rank awareness in joint sparse recovery," IEEE Trans. Inf. Theory, vol. 58, no. 2, pp. 1135-1146, Feb. 2012.
33. M. Pesavento and A. Gershman, "Maximum-likelihood direction-ofarrival estimation in the presence of unknown nonuniform noise," IEEE Trans. Signal Process., vol. 49, no. 7, pp. 1310-1324, Jul. 2001. (Pubitemid 32615796)
34. M. Li and Y. Lu, "Maximum likelihood DOA estimation in unknown colored noise fields," IEEE Trans. Aerosp. Electron. Syst., vol. 44, no. 3, pp. 1079-1090, Jul. 2008.
35. R. Roger and J. Arnold, "Reliably estimating the noise in AVIRIS hyperspectral imagers," Int. J. Remore Sens., vol. 17, no. 10, pp. 1951-1962, Jul. 1996.
36. B. Turlach, W. Venables, and S. Wright, "Simultaneous variable selection," Technometrics, vol. 47, no. 3, pp. 349-363, Aug. 2004. (Pubitemid 41164070)
37. J. Bioucas-Dias and M. Figueiredo, "Alternating direction algorithms for constrained sparse regression: Application to hyperspectral unmixing," in Proc. 2nd WHISPERS, 2010, pp. 1-4.
38. M. Afonso, J. Bioucas-Dias, and M. Figueiredo, "An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems," IEEE Trans. Image Process., vol. 20, no. 3, pp. 681-695, Mar. 2011.
39. J. Eckstein and D. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators," Math. Programm., vol. 55, no. 3, pp. 293-318, Jun. 1992.
40. E. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, Dec. 2005. (Pubitemid 41800353)
41. D. Iordache, J. Bioucas-Dias, and A. Plaza, "Dictionary pruning in sparse unmixing of hyperspectral data," in Proc. 4th IEEE GRSS WHISPERS, Shanghai, China, 2012, pp. 1-4.
42. J. Stuckens, S. Dzikiti, W. Verstraeten, S. Verreynne, R. Swennen, and P. Coppin, "Physiological interpretation of a hyperspectral time series in a citrus orchard," Agr. Forest Meteorol., vol. 151, no. 7, pp. 1002-1015, Jul. 2011.
43. J. Nascimento and J. Bioucas-Dias, "Vertex component analysis: A fast algorithm to unmix hyperspectral data," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 4, pp. 898-910, Apr. 2005. (Pubitemid 40476033)
44. M. Zortea and A. Plaza, "Spatial preprocessing for endmember extraction," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 8, pp. 2679-2693, Aug. 2009.
45. M. Schaepman, S. Ustin, A. Plaza, T. Painter, J. Verrelst, and S. Liang, "Earth system science related imaging spectroscopy-An assessment," Remote Sens. Environ., vol. 113, no. S1, pp. 123-137, Sep. 2009.
46. B. Somers, K. Cools, S. Delalieux, J. Stuckens, D. V. der Zande, W. Verstraeten, and P. Coppin, "Nonlinear hyperspectral mixture analysis for tree cover estimates in orchards," Remote Sens. Environ., vol. 113, no. 6, pp. 1183-1193, Jun. 2009.
47. J. Wright, A. Y. Yang, A. Ganesh, S. S. Sastry, and Y. Ma, "Robust face recognition via sparse representation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 31, no. 2, pp. 210-227, Feb. 2009.