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Th`ese Marouan BOUALI - Sites personnels de TELECOM ParisTech

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26 2. Remote Sensing with MODIS<br />

Figure 2.8 – Sun glint, a major obstacle for the generation of ocean color products appears<br />

on MODIS images as a wi<strong>de</strong> and bright vertical stripe. It results from the reflection of sun<br />

light off the ocean surface.<br />

sun glint radiance L Glint (often close to the sensor saturation) compromises the estimation<br />

of water-leaving radiance and all the <strong>de</strong>rived oceanic geophysical variables. In addition,<br />

atmospheric correction over ocean targets often fails to distinguish sun glint from high<br />

concentrations of white aerosols. Many techniques have been <strong>de</strong>vised to remove the sun<br />

glint contribution from the TOA signal. The most common approach for medium resolution<br />

instruments relie on the well-known Cox and Munk statistical mo<strong>de</strong>l of sea surface<br />

roughness [Cox and W.Munk, 1954]. For a given sensor viewing geometry, the amount of<br />

sun glint radiance can be expressed as a function of the probability <strong>de</strong>nsity function of sea<br />

surface slopes which in turn, <strong>de</strong>pend on the wind speed and direction. The reflectance due<br />

to sun glint can be predicted from the sensor viewing geometry and the wind speed with :<br />

ρ Glint (λ, θ s ,θ v ,φ s ,φ v ,W)= P (θ s,θ v ,φ s ,φ v ,W)f(w, λ)<br />

4cos 4 βcosθ v cosθ s<br />

(2.8)<br />

where :<br />

- θ s and φ s are the zenith and azimuth angles of the sun<br />

- θ v and φ v are the zenith and azimuth angles of the sensor<br />

- f(w, λ) is the Fresnel reflectance at the ocean surface for an angle of inci<strong>de</strong>nce of w<br />

- W is the wind speed<br />

- P (θ s ,θ v ,φ s ,φ v ,W) is the probability distribution function of Cox/Munk mo<strong>de</strong>l corresponding<br />

to a 4 th or<strong>de</strong>r Gramm-Charlier expansion and often approximated with a Gaussian<br />

distribution.<br />

Although implemented in numerous ocean colour sensors, Cox and Munk based correcting<br />

schemes [Montagner et al., 2003], [Wang and Bailey, 2001], [Fukushima et al., 2007], [Ottaviani<br />

et al., 2008] can only process mo<strong>de</strong>rate sun glint. Also, the results are limited by<br />

the accuracy and resolution of available wind data. Motivated by these limitations, Steinmetz,<br />

Deschamps and Ramon, [Steinmetz et al., 2008] recenly introduced a new approach,

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