Title :
Multifrequency reconstruction of moderately rough interfaces via quasi-ray Gaussian beams
Author :
Galdi, Vincenzo ; Castañon, David A. ; Felsen, Leopold B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA
fDate :
2/1/2002 12:00:00 AM
Abstract :
In this paper, we present a new technique for determining the surface profile of a moderately rough interface between air and a homogeneous dielectric half-space. Based on sparsely sampled step-frequency ground penetrating radar measurements, the proposed inversion scheme uses a quasi-ray Gaussian beam fast forward model, coupled with a low-order parameterization of the surface profile in terms of B-splines. The profile estimation problem is posed as a parameter optimization problem, which is solved using a multiresolution continuation method via frequency hopping. Numerical experiments establish that the algorithm is efficient and yields accurate reconstructions throughout most of the illuminated region even in noisy environments, losing accuracy only in regions with very weak illumination
Keywords :
Gaussian processes; geophysical signal processing; image reconstruction; inverse problems; optimisation; radar imaging; remote sensing by radar; rough surfaces; splines (mathematics); B-splines; frequency hopping; homogeneous dielectric half-space; illuminated region; inversion scheme; moderately rough interfaces; multifrequency reconstruction; multiresolution continuation; noisy environments; parameter optimization; profile estimation; quasi-ray Gaussian beams; sparsely sampled step-frequency ground penetrating radar measurements; surface profile; Dielectric measurements; Frequency estimation; Ground penetrating radar; Optical coupling; Optimization methods; Rough surfaces; Spline; Surface reconstruction; Surface roughness; Working environment noise;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on