Fusion of vegetation indices using continuous belief functions and cautious-adaptive combination rule

IEEE Transactions on Geoscience and Remote Sensing

Volumn 46, Issue 5, 2008, Pages 1499-1513

  Kallel, Abdelaziz ^a   Hégarat Mascle, Sylvie Le ^b   Hubert Moy, Laurence ^c   Ottlé, Catherine ^d  

^a SERVICE D AÉRONOMIE DU CNRS   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

^c UNIVERSITÉ RENNES 2   (France)

^d CENTRE D ETUDES DE SACLAY   (France)

Author keywords

Belief functions; Combination rule; Evidence theory; Fraction of vegetation cover (fCover); Vegetation index fusion

Indexed keywords

REMOTE SENSING; UNCERTAINTY ANALYSIS;

BELIEF FUNCTION; COMBINATION RULES; EVIDENCE THEORIES; FRACTION OF VEGETATION COVER; VEGETATION INDEX FUSION;

VEGETATION;

EID: 53349143723     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2008.916215     Document Type: Article

References (55)

1. S. Dabney, J. Delgado, and D. Reeves, "Using winter cover crops to improve soil and water quality," Commun. Soil Sci. Plant Ann., vol. 32, no. 7/8, pp. 1221-1250, 2001.
2. G. Rondeaux, M. Steven, and F. Baret, "Optimization of soil-adjusted vegetation indices," Remote Sens. Environ., vol. 55, no. 2, pp. 95-107, Feb. 1996.
3. A. Kallel, S. L. Hégarat-Mascle, C. Ottlé, and L. Hubert-Moy, "Determination of vegetation cover fraction by inversion of a four-parameter model based on isoline parametrization," Remote Sens. Environ., vol. 111, no. 4, pp. 553-566, Dec. 2007.
4. G. Shafer, A Mathematical Theory of Evidence. Princeton, NJ: Princeton Univ. Press, 1976.
5. P. Smets, "Un modéle mathémati co-statistique simulant le processus du diagnostic médical," Ph.D. dissertation, Univ. Libre de Bruxelles, Bruxelles, Belgium, 1978.
6. P. Smets, "The combination of evidence in the transferable belief model," IEEE Pattern Anal. Mach. Intell., vol. 12, no. 5, pp. 447-458, May 1990.
7. I. Bloch, "Some aspects of Dempster-Shafer evidence theory for classification of multi-modality medical images taking partial volume effect into account," Pattern Recognit. Lett., vol. 17, no. 8, pp. 905-916, Jul. 1996.
8. J. Van Cleynenbreugel, S. Osinga, F. Fierens, P. Suetens, and A. Oosterlinck, "Road extraction from multi-temporal satellite images by an evidential reasoning approach," Pattern Recognit. Lett., vol. 12, no. 6, pp. 371-380, Jun. 1991.
9. F. Tupin, I. Bloch, and H. Matre, "A first step toward automatic interpretation of SAR images using evidential fusion of several structure detectors," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 3, pp. 1327-1343, May 1999.
10. T. Denoeux, "A k-nearest neighbor classification rule based on Dempster-Shafer theory," IEEE Trans. Syst., Man, Cybern.., vol. 25, no. 5, pp. 804-813, May 1995.
11. S. Le Hégarat-Mascle, I. Bloch, and D. Vidal-Madjar, "Application of Dempster-Shafer evidence theory to unsupervised classification in multisource remote sensing," IEEE Trans. Geosci. Remote Sens., vol. 35, no. 4, pp. 1018-1031, Jul. 1997.
12. S. Le Hégarat-Mascle, I. Bloch, and D. Vidal-Madjar, "Introduction of neighborhood information in evidence theory and application to data fusion between radar and optical images with partial cloud cover," Pattern Recognit., vol. 31, no. 11, pp. 1811-1823, Nov. 1998.
13. S. Le Hégarat-Mascle and R. Seltz, "Automatic change detection by evidential fusion of change indices," Remote Sens. Environ., vol. 91, no. 3/4, pp. 390-404, Jun. 2004.
14. S. Le Hégarat-Mascle, R. Seltz, L. Hubert-Moy, S. Corgne, and N. Stach, "Performance of change detection using remotely sensed data and evidential fusion: Comparison of three cases of application," Int. J. Remote Sens., vol. 27, no. 16, pp. 3515-3532, Aug. 2006.
15. D. Dubois, H. Prade, and P. Smets, "New semantics for quantitative possibility theory," in Proc. 6th ECSQARU, 2001, pp. 410-421.
16. B. Ristic and P. Smets, "Belief function theory on the continuous space with an application to model based classification," in Proc. IPMU, Perugia, Italy, 2004, pp. 1119-1126.
17. P. Smets, "Belief functions on real numbers," Int. J. Approx. Reason., vol. 40, no. 3, pp. 181-223, Nov. 2005.
18. F. Caron, E. B. Ristic, Duflos, and P. Vanheeghe, "Least committed basic belief density induced by a multivariate Gaussian: Formulation with applications," Int. J. Approx. Reason., 2007. to be published.
19. P. Smets and R. Kennes, "The transferable belief model," Artif. Intell., vol. 66, no. 2, pp. 191-234, Apr. 1994.
20. P. Smets, "The application of the matrix calculus to belief functions," Int. J. Approx. Reason., vol. 31, no. 1/2, pp. 1-30, Oct. 2002.
21. R. R. Yager, "The entailment principle for Dempster-Shafer granules," Int. J. Intell. Syst., vol. 1, no. 4, pp. 247-262, 1986.
22. F. Klawonn and P. Smets, "The dynamic of belief in the transferable belief model and specialization-generalization matrices," in Proc. 8th Annu. Conf. UAI, 1992, pp. 130-137.
23. P. Smets, "An axiomatic justification for the use of belief function to quantify beliefs," in Proc. Int. Joint Conf. AI, Chambery, France, 1993, pp. 598-603.
24. D. Dubois and H. Prade, "On the unicity of Dempster's rule of combination," Int. J. Intell. Syst., vol. 1, no. 2, pp. 133-142, 1986.
25. D. Dubois and H. Prade, "A set theoretical view of belief functions," Int. J. Gen. Syst., vol. 12, pp. 193-226, 1986.
26. P. Smets, "The concept of distinct evidence," in Proc. IPMU, Palma de Mallorca, Spain, 1992, pp. 789-794.
27. D. Dubois and H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty. New York: Plenum, 1988.
28. M. Fauvel, J. Chanussot, and J. A. Benediktsson, "Decision fusion for the classification of urban remote sensing images," IEEE Trans. Geosci. Remote Sens., vol. 44, no. 10, pp. 2828-2838, Oct. 2006.
29. J. Chanussot, G. Mauris, and P. Lambert, "Fuzzy fusion techniques for linear features detection in multitemporal SAR images," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 3, pp. 1292-1305, May 1999.
30. P. Smets, "The canonical decomposition of a weighted belief," in Proc. IJCAI, Montreal, PQ, CA, 1995, pp. 1896-1901.
31. T. Denoeux, "The cautious rule of combination for belief functions and some extensions," in Proc. FUSION, Florence, Italy, 2006, pp. 1-8.
32. T. M. Strat, "Continuous belief functions for evidential reasoning," in Proc. AAAI, Austin, TX, 1984, pp. 308-313.
33. P. Smets, "Decision making in the TBM: The necessity of the pignistic transformation," Int. J. Approx. Reason., vol. 38, no. 2, pp. 133-147, Feb. 2005.
34. A. Kallel, S. L. Hégarat-Mascle, and L. Hubert-Moy, "Combination of partially non-distinct consonant beliefs: The cautious-adaptive rule," Int. J. Approx. Reason., 2007, submitted for publication.
35. P. Smets, "Quantified epistemic possibility theory seen as an hyper cautious transferable belief model," in Proc. Rencontres Francophones sur la Logique Floue et ses Appl. (LFA), La Rochelle, France, 2000, pp. 343-353.
36. J. W. Rouse, R. H. Haas, J. A. Schell, D. W. Deering, and J. C. Harlan, "Monitoring the vernal advancement retrogradation of natural vegetation," NASA/GSFC, Greenbelt, MD, 1974. Final Report, Type III.
37. A. R. Huete, "A soil-adjusted vegetation index (SAVI)," Remote Sens. Environ., vol. 25, no. 3, pp. 295-309, Aug. 1988.
38. F. Baret and G. Guyot, "Potentials and limits of vegetation indices for LAI and APAR assessment," Remote Sens. Environ., vol. 35, no. 2/3, pp. 161-173, Feb./Mar. 1991.
39. J. Qi, A. Chehbouni, A. R. Huete, and Y. H. Kerr, "A modified soil adjusted vegetation index," Remote Sens. Environ., vol. 48, no. 2, pp. 119-126, May 1994.
40. J. G. P. W. Clevers and W. Verhoef, "LAI estimation by means of the WDVI: A sensitivity analysis with a combined PROSPECT-SAIL model," Remote Sens. Environ., vol. 7, pp. 43-64, 1993.
41. F. Baret and S. Buis, "Estimating canopy characteristics from remote sensing observations," in Review of Methods and Associated Problems. New York: Springer-Verlag, 2007.
42. S. Jacquemoud and F. Baret, "Prospect: A model of leaf optical properties spectra," Remote Sens. Environ., vol. 34, no. 2, pp. 75-91, Nov. 1990.
43. W. Verhoef, "Earth observation modeling based on layer scattering matrices," Remote Sens. Environ., vol. 17, no. 2, pp. 165-178, Apr. 1985.
44. J. Nelder and R. Mead, "A simplex method for function minimization," Comput. J., vol. 7, pp. 308-313, 1965.
45. Q. Duan, S. Sorooshian, and V. K. Gupta, "Effective and efficient global optimization for conceptual rainfall-runoff models," Water Resour. Res., vol. 28, no. 4, pp. 1015-1031, 1992.
46. A. J. Richardson and C. L. Wiegand, "Distinguishing vegetation from soil background information," Photogramm. Eng. Remote Sens., vol. 43, pp. 1541-1552, 1977.
47. J. G. P. W. Clevers, "The application of a weighted infrared-red vegetation index for estimating leaf area index by correcting for soil moisture," Remote Sens. Environ., vol. 25, no. 1, pp. 53-69, Jul. 1989.
48. R. L. Pearson and L. D. Miller, "Remote mapping of standing crop biomass for estimation of the productivity of the short grass prairie," in Proc. 8th Int. Symp. Remote Sens. Environment, M. Erim and A. Arbor, Eds., 1972, pp. 1357-1381.
49. F. Baret, G. Guyot, and D. Major, "TSAVI: A vegetation index which minimizes soil brightness effects on LAI and APAR estimation," in Proc. Joint 12th Can. Symp. Remote Sensing and IGARSS, 1989, vol. 4, pp. 1355-1359.
50. A. Kallel, S. L. Hégarat-Mascle, C. Ottlé, and L. Hubert-Moy, "Canopy bidirectional reflectance calculation based on adding method and sail formalism," in Proc. IGARSS, Barcelona, Spain, 2007, pp. 2554-2557.
51. A. Kallel, W. Verhoef, S. L. Hégarat-Mascle, C. Ottlé, and L. Hubert-Moy, "Canopy bidirectional reflectance calculation based on adding method and SAIL formalism," Remote Sens. Environ., 2007, submitted for publication.
52. A. Kuusk, "Photon-vegetation interactions," in Applications in Optical Remote Sensing and Plant Ecology. Berlin, Germany: Springer-Verlag, 1991, ch. The Hot Spot Elect in Plant Canopy Reflectance, pp. 139-159.
53. H. C. van de Hulst, Light Scattering by Small Particles. New York: Dover, 1981.
54. K. Cooper, J. A. Smith, and D. Pitts, "Reflectance of a vegetation canopy using the adding method," Appl. Opt., vol. 21, no. 22, pp. 4112-4118, 1982.
55. W. Verhoef, "Light scattering by leaf layers with application to canopy reflectance modelling: The SAIL model," Remote Sens. Environ., vol. 16, no. 2, pp. 125-141, Oct. 1984.