A computationally efficient discrete Backus-Gilbert footprint-matching algorithm

IEEE Transactions on Geoscience and Remote Sensing

Volumn 40, Issue 8, 2002, Pages 1865-1878

  Stephens, Philip J ^a   Jones, Andrew S ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Geophysical measurements; Imaging; Radiometry; Remote sensing

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONSTRAINT THEORY; IMAGING SYSTEMS; RADIOMETRY; REMOTE SENSING; SENSORS; SPURIOUS SIGNAL NOISE;

MICROWAVE SENSORS;

GEOPHYSICS;

EID: 0036699020     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2002.802520     Document Type: Article

References (23)

1. G. Backus and F. Gilbert, "Numerical applications of a formalism for geophysical inverse problems," Geophys. J. R. Astron. Soc., vol. 13, pp. 247-276, 1967.
2. _, "The resolving power of gross earth data," Geophys. J. R. Astron. Soc., vol. 16, pp. 169-205, 1968.
3. _, "Uniqueness in the inversion of inaccurate gross earth data," Philos. Trans. R. Soc. London A, Math. Phys. Sci., vol. 266, no. 1173, pp. 123-192, 1970.
4. S. Twomey, Introduction to the Mathematics of Inverse Remote Sensing and Indirect Measurements. New York: Dover, 1996.
5. A. Stogryn, "Estimates of brightness temperatures from scanning radiometer data," IEEE Trans. Antennas Propagat., vol. AP-26, pp. 720-726, May 1976.
6. G. Poe, "Optimum interpolation of imaging microwave radiometer data," IEEE Trans. Geosci. Remote Sensing, vol. 28, pp. 800-810, Sept. 1990.
7. M.R. Farrar and E.A. Smith, "Spatial resolution enhancement of terrestrial features using deconvolved SSM/I microwave brightness temperatures," IEEE Trans. Geosci. Remote Sensing, vol. 30, pp. 349-355, Mar. 1992.
8. W.D. Robinson, C. Kummerow, and W.S. Olson, "A technique for enhancing and matching the resolution of microwave measurements from the SSM/I," IEEE Trans. Geosci. Remote Sensing, vol. 30, pp. 419-428, May 1992.
9. R. Bennartz, "Optimal convolution of AMSU-B to AMSU-A," J. Atmos. Ocean. Technol., vol. 17, pp. 1215-1225, 2000.
10. J.P. Hollinger, J.L. Peirce, and G.A. Poe, "SSM/I instrument evaluation," IEEE Trans. Geosci. Remote Sensing, vol. 28, pp. 781-790, Sept. 1990.
11. A. Kirsch, B. Schomburg, and G. Berendt, "The Backus-Gilbert method," Inverse problems, vol. 4, pp. 771-783, 1988.
12. R. Snieder, "An extension of Backus-Gilbert theory to nonlinear inverse problems," Inverse Problems, vol. 7, pp. 409-433, 1991.
13. P. Hansen, "The Backus-Gilbert method: SVD analysis and fast implementation," Inverse Problems, vol. 10, pp. 895-904, 1994.
14. J.F. Galantowicz and A.W. England, "The michigan earth grid: Description, registration method for SSM/I data and derivative map projections," Radiation Lab., Univ. of Michigan, Ann Arbor, MI, 027 396-2-T, 1991.
15. R. Lagendijk and J. Biemond, Iterative Identification and Restoration of Images. Norwell, MA: Kluwer, 1991.
16. E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen, LAPACK User's Guide. Philidelphia, PA: SIAM, 1999.
17. J.W. Demmel and W. Kahan, "Accurate singular values of bidiagonal matricies," SIAM J. Sci. Stat. Comput., vol. 11, pp. 873-912, 1990.
18. C. Paige, "Computing the generalized singular value decomposition," SIAM J. Sci. Stat., vol. 7, pp. 1126-1146, 1986.
19. Z. Bai and J.W. Demmel, "Computing the generalized singular value decomposition," SIAM, J. Sci. Comput., vol. 14, pp. 1464-1486, 1993.
20. Z. Bai and H. Zha, "A new preprocessing algorithm for the computation of the generalized singular value decomposition," SIAM J. Sci. Comput., vol. 14, pp. 1007-1012, 1993.
21. J. Christensen-Dalsgaard, P.C. Hansen, and M. Thompson, "GSVD analysis of heiloseismic inversions," Mon. Not. R. Astron. Soc., vol. 264, pp. 541-564, 1993.
22. S.D. Conte and C. De Boor, Elementary Numerical Analysis: An Algorithmic Approach. New York: McGraw-Hill, 1980.
23. P.J. Davis and P. Rabinowitz, Methods of Numerical Integration. New York: Academic, 1975.