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Minnaert function : ウィキペディア英語版
Minnaert function
The Minnaert function is a photometric function used to interpret astronomical observations 〔http://dx.doi.org/10.1016/S0019-1035(03)00075-7〕〔http://dx.doi.org/10.1016/j.icarus.2006.05.006〕 and remote sensing data for the Earth.〔http://dx.doi.org/10.1080/01431160500104194〕 This function expresses the radiance factor (RADF) as a function the phase angle (\alpha) and the photometric latitude (\varphi) and the photometric longitude (\lambda).
:
\text = \frac = \pi~A_M~\mu_0^k~\mu^

where A_M is the Minnaert albedo, k is an empirical parameter, I is the scattered radiance in the direction (\alpha,\varphi,\lambda), \pi F is the incident radiance, and
:
\mu_0 = \cos\varphi~\cos(\alpha-\lambda) ~;~~ \mu = \cos\varphi~\cos\lambda ~.

The phase angle is the angle between the light source and the observer with the object as the center.
The assumptions made are:
* the surface is illuminated by a distant point source.
* the surface is isotropic and flat.
Minnaert's contribution is the introduction of the parameter k, having a value between 0 and 1,〔http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1941ApJ....93..403M&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf〕 originally for a better interpretation of observations of the Moon. In remote sensing the use of this function is referred to as ''Minnaert topographic correction'', a necessity when interpreting images of rough terrain.
== References ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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