A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves
| Autor: | Alvise Benetazzo, Francesco Fedele, Guillermo Gallego, Anthony Yezzi |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Physics
Telecomunicaciones Partial differential equation 010504 meteorology & atmospheric sciences Mathematical analysis Image processing Iterative reconstruction 01 natural sciences 010305 fluids & plasmas 0103 physical sciences Wind wave Radiance General Earth and Planetary Sciences Wavenumber Waveform 14. Life underwater Electrical and Electronic Engineering Physics::Atmospheric and Oceanic Physics 0105 earth and related environmental sciences Remote sensing Energy functional |
| Zdroj: | Ieee Transactions on Geoscience And Remote Sensing, ISSN 0196-2892, 2011-11, Vol. 49, No. 11 Archivo Digital UPM Universidad Politécnica de Madrid IEEE transactions on geoscience and remote sensing 49 (2011): 4445–4457. info:cnr-pdr/source/autori:Gallego, Guillermo; Yezzi, Anthony; Fedele, Francesco; Benetazzo, Alvise/titolo:A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves/doi:/rivista:IEEE transactions on geoscience and remote sensing/anno:2011/pagina_da:4445/pagina_a:4457/intervallo_pagine:4445–4457/volume:49 |
| ISSN: | 1558-0644 0196-2892 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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