DocumentCode :
1556897
Title :
A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves
Author :
Gallego, Guillermo ; Yezzi, Anthony ; Fedele, Francesco ; Benetazzo, Alvise
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol. (Georgia Tech), Atlanta, GA, USA
Volume :
49
Issue :
11
fYear :
2011
Firstpage :
4445
Lastpage :
4457
Abstract :
We develop a novel remote sensing technique for the observation of waves on the ocean surface. Our method infers the 3-D waveform and radiance of oceanic sea states via a variational stereo imagery formulation. In this setting, the shape and radiance of the wave surface are given by minimizers of a composite energy functional that combines a photometric matching term along with regularization terms involving the smoothness of the unknowns. The desired ocean surface shape and radiance are the solution of a system of coupled partial differential equations derived from the optimality conditions of the energy functional. The proposed method is naturally extended to study the spatiotemporal dynamics of ocean waves and applied to three sets of stereo video data. Statistical and spectral analysis are carried out. Our results provide evidence that the observed omnidirectional wavenumber spectrum S(k) decays as k-2.5 is in agreement with Zakharov´s theory (1999). Furthermore, the 3-D spectrum of the reconstructed wave surface is exploited to estimate wave dispersion and currents.
Keywords :
geophysical image processing; image reconstruction; minimisation; ocean waves; oceanographic techniques; partial differential equations; photometry; remote sensing; stereo image processing; 3D ocean wave reconstruction; composite energy functional minimisation; coupled partial differential equations; energy functional optimality conditions; ocean wave spatiotemporal dynamics; oceanic sea state 3D waveform; oceanic sea state radiance; photometric matching term; regularization terms; remote sensing technique; variational stereo imagery formulation; variational stereo method; wave surface radiance; wave surface shape; Cameras; Image reconstruction; Mathematical model; Sea surface; Surface reconstruction; Surface treatment; Surface waves; Image processing; marine technology; remote sensing; stereo vision; variational methods;
fLanguage :
English
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
Publisher :
ieee
ISSN :
0196-2892
Type :
jour
DOI :
10.1109/TGRS.2011.2150230
Filename :
5887409
Link To Document :
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