A multiresolution methodology for signal-level fusion and data assimilation with applications to remote sensing

Proceedings of the IEEE

Volumn 85, Issue 1, 1997, Pages 164-179

  Daniel, Michael M ^a   Willsky, Alan S ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ERROR STATISTICS; ESTIMATION; OPTIMIZATION; RANDOM PROCESSES; REMOTE SENSING; SENSORS; VARIATIONAL TECHNIQUES;

MODELLING ERRORS; MULTIRESOLUTION SENSING;

SENSOR DATA FUSION;

EID: 0030734976     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.554216     Document Type: Article

References (27)

1. K. E. Brewer and S. W. Whcatcraft, "Chapter inculding multi-scale information in the characterization of hydraulic conductivity distributions," in Wavelets in Geophysics. New York: Academic, 1994, pp. 213-248.
2. R. Chellappa and A. Jain, Eds., Markov Random Fields. New York: Academic, 1993.
3. K. C. Chou and A. S. Willsky, "A multi-resolution, probabilistic approach to two-dimensional inverse conductivity problems," Signal Process., vol. 18, 1989.
4. K. C. Chou, A. S. Willsky, and A. Benveniste, "Multiscale recursive estimation, data fusion, and regularization," IEEE Trans. Automat. Contr., vol. 39, no. 3, pp. 464-478, 1994.
5. M. M. Daniel, A. S. Willsky, D. B. McLaughlin, and D. J. Rossi, "A multi-resolution approach for imaging hydraulic conductivity," in IEEE Int. Conf. on Image Process., Washington, DC, Oct. 1995.
6. M. H. A. Davis, Linear Estimation and Stochastic Control. London: Chapman and Hall, 1977.
7. H. Derin and P. A. Kelly, "Discrete-index Markov-type random processes," Proc. IEEE, vol. 77, Oct. 1989.
8. P. W. Fieguth, W. C. Karl, A. S. Willsky, and C. Wunsch, "Multiresolution optimal interpolation and statistical analysis of TOPEX/POSEIDEN satellite altimetry," IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 280-292, Mar. 1995.
9. P. W. Fieguth and A. S. Willsky, "Fractal estimation using models on multiscale trees," IEEE Trans. Signal Process., pp. 1297-1300, May 1996.
10. L. G. Gelhar, Stochastic Subsurface Hydrology. Englewood Cliffs, NJ: Prentice-Hall, 1993.
11. M. Ghil and P. Malanotte-Rizzoli, "Chapter data assimilation in meteorology and oceanograpy," Advances in Geophysics. New York: Academic, 1991, vol. 33, pp. 141-266.
12. M. D. Greenberg, Application of Green's Functions in Science and Engineering. Englewood Cliffs, NJ: Prentice-Hall, 1971.
13. G. J. Huffman et al., "Global precipitation estimates based on a technique for combining satellite-based estimates, rain gauge analysis, and NWP model precipitation information," J. Climate, vol. 8, pp. 1284-1295, 1995.
14. D. W. Hyndman, J. M. Harris, and S. M. Gorelick, "Coupled seismic and tracer test inversion for aquifer property characterization," Water Resources Res., vol. 30, no. 7, pp. 1965-1977, July 1994.
15. W. W. Irving, "Multiscale stochastic realization and model identification with applications to large-scale estimation problems," Ph.D. dissertation, MIT, Aug. 1995.
16. J. Liu, "A multiresolution method for distributed parameter estimation," SI AM J. Scientif. Computing, vol. 14, no. 2, pp. 389-405, Mar. 1993.
17. M. R. Luettgen, W. C. Karl, and A. S. Willsky, "Efficient multiscale regularization with applications to the computation of optical flow," IEEE Trans. Image Process., vol. 3, pp. 41-64, Jan. 1994.
18. M. R. Luettgen, W. C. Karl, arid A. S. Willsky, "Multiscale smoothing error models," IEEE Trans. Automat. Contr., vol. 40, pp. 173-175, Jan. 1995.
19. M. R. Luettgen, W. C. Karl, A. S. Willsky, and R. R. Tenney, "Multiscale representations of Markov random fields," IEEE Trans. Signal Proc., vol. 41, p. 3377, Dec. 1993.
20. G. de Marsily, Quantitative Hydrogeology: Groundwater Hydrology for Engineers. San Diego, CA: Academic, 1986.
21. D. B. McLaughlin and L. B. Reid, "Estimating continuous aquifer properties from field measurements: The inverse problem for groundwater flow and transport," in Computational Methods in Water Resources. New York: Kluwer, 1994, pp. 777-784.
22. D. B. McLaughlin and L. R. Townley, "A reassessment of the groundwater inverse problem," Water Resources Res., vol. 32, no. 5, pp. 1131-1161, 1996.
23. D. Menemenlis, P. W. Fieguth, C. Wunsch, and A. S. Willsky, "A fast optimal interpolation algorithm for mapping hydrographic and other océanographie data," J. Geophys. Res., 1996.
24. E. L. Miller, "A multiscale approach to sensor fusion and the solution of linear inverse problems," Applied and Comp. Harmonic Anal., vol. 2, pp. 127-147, 1995.
25. D. S. Oliver, "Incorporation of transient pressure data into reservoir characterization," In Situ, vol. 18, no. 3, pp. 243-275, 1994.
26. I. Primus, "Scale-recursive estimation of precipitation using remote sensing data," M.S. thesis, MIT, June 1996.
27. H. E. Rauch, F. Tung, and C. T. Striebel, "Maximum likelihood estimates of linear dynamics systems," AIAA J., vol. 3, no. 8, Aug. 1965.