On rewriting the imaging mechanism of underwater bottom topography by synthetic aperture radar as a volterra series expansion

IEEE Journal of Oceanic Engineering

Volumn 27, Issue 3, 2002, Pages 665-674

  Inglada, Jordi ^a,b,c   Garello, René ^a,b  

^a IEEE   (France)

^b ECOLE DES MINES DE NANTES   (France)

^c CNES   (France)

Author keywords

Action balance equation; SAR bathymetry; Underwater bottom topography; Volterra model; Wave current interaction

Indexed keywords

UNDERWATER BOTTOM TOPOGRAPHY;

BATHYMETRY; HYDRODYNAMICS; MATHEMATICAL MODELS; MODULATION; OCEAN CURRENTS; RADAR IMAGING; SYNTHETIC APERTURE RADAR;

UNDERWATER IMAGING;

EID: 0036661932     PISSN: 03649059     EISSN: None     Source Type: Journal    
DOI: 10.1109/JOE.2002.1040949     Document Type: Article

References (22)

1. H. Greidanus, C. Calkoen, I. Hennings, R. Romeiser, J. Vogelzang, and G.J. Wensink, "Intercomparison and validation of bathymetry radar imaging models," in Proc. IEEE Int. Geoscience Remote Sensing Symp. IGARSS'97, vol. 3, 1997, pp. 1320-1322.
2. R. Romeiser and W. Alpers, "An improved composite surface model for the radar backscattering cross section of the ocean surface. 2. Model response to surface roughness variations and the radar imaging of underwater bottom topography," J. Geophys. Res., vol. 102, no. 25, pp. 251-267, 1997.
3. J. Vogelzang, G.J. Wensink, G.P. de Loor, H.C. Peters, and H. Pouwels, "Sea bottom topography with X-band SLAR: The relation between radar imagery and bathymetry," Int. J. Remote Sens., vol. 13, no. 10, pp. 1943-1958, 1992.
4. D. Holliday, G. St.-Cyr, and N.E. Woods, "A radar ocean imaging model for small to moderate incidence angles," In. J. Remote Sens., vol. 7, no. 12, pp. 1809-1834, 1986.
5. J. Vogelzang, "The mapping of bottom topography with imaging radar. A comparison of the hydrodynamic modulation in some existing models," Int. J. Remote Sens., vol. 10, no. 9, pp. 1503-1518, 1989.
6. W. Alpers and I. Hennings, "A theory of the imaging mechanism of underwater bottom topography by real and synthetic aperture radar," J. Geophys. Res., vol. 89, no. 6, pp. 10529-10546, Nov. 1984.
7. H. Wensink and G. Campbell, "Bathymetric map production using the ERS SAR," Backscatter, vol. 8, pp. 17-22, 1997.
8. C.J. Calkoen, G.H.F.M. Hesselmans, G.J. Wensink, and J. Vogelzang, "The bathymetry assessment system: Efficient depth mapping in shallow seas using radar images," Int. J. Remote Sens., vol. 22, pp. 2973-2998, 2001.
9. P.O. Amblard, "Statistiques d'ordre supérieur pour les signaux non Gaussiens, non linéaires, non stationnaires," Ph.D. dissertation, Inst. National Polytechnique de Grenoble, 1992.
10. J.-M. Le Caillec, R. Garello, and B. Chapron, "Two dimensional bispectral estimates from ocean SAR images," Nonlinear Processes Geophys., vol. 3, pp. 196-215, 1996.
11. M. Shetzen, The Volterra and Wiener Theories of Nonlinear Systems. New York: Wiley, 1980.
12. V. Volterra, Theory of Functionals and of Integral and Integro-Differential Equations. New York: Dover, 1959.
13. R. Romeiser, W. Alpers, and V. Wismann, "An improved composite surface model for the radar backscattering cross section of the ocean surface. 1. Theory of the model and optimization/validation by scatterometer data," J. Geophys. Res., vol. 102, no. 25, pp. 237-250, 1997.
14. M.S. Longuet-Higgins and R.W. Stewart, "Radiation stresses in water waves, a physical discussion with applications," Deep Sea Res., vol. 11, pp. 529-562, 1964.
15. G.B. Whitham, "A general approach to linear and nonlinear dispersive waves using a Lagrangian," J. Fluid Mech., vol. 22, pp. 273-283, 1965.
16. F.P. Bretherton, "Linearized theory of wave propagation," Lect. Appl. Math., vol. 13, pp. 61-102, 1970.
17. O.M. Phillips, "On the response of short ocean wave components at a fixed wavenumber to ocean current variations," J. Phys. Oceanogr., vol. 14, pp. 1425-1433, Sept. 1984.
18. W.J. Plant, "A relationship between wind stress and wave slope," J. Geophys. Res., vol. 87, pp. 1961-1967, 1982.
19. P. Perona, T. Shiota, and J. Malik, "Anisotropic diffusion," in Geometry-Driven Diffusion in Computer Vision, B.M. ter Haar Romeny, Ed. Norwell, MA: Kluwer, 1998, ch. 2.
20. J. Inglada and R. Garello, "Depth estimation and 3D topography reconstruction from SAR images showing underwater bottom topography signatures," in Proc. Proc. IEEE Int. Geoseience Remote Sensing Symp. IGARSS'99, vol. 2f, 1999, pp. 956-998.
21. I. Hennings, B. Luring, and N. Didden, "Radar imaging mechanism of the seabed: Results of the C-STAR experiment in 1996 with special emphasis on the relaxation rate of the short waves due to current variations," J. Phys. Oceanogr., vol. 31, pp. 1807-1827, 2001.
22. B.A. Hughes, "The effect of internal waves on surface wind waves. 2. Theoretical analysis," J. Geophys. Res., vol. 83, no. 1, pp. 455-465, Jan. 1978.