Roughness measurement

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Roughness measurement is usefull in a lot of radar domain application, like soil moisture estimation or soil direlectric caracterization. The Roughness is important because is part of radar backscattering equation.
Usually this parameters are compute along a transec with a pinroughmeter :


This kind of technics are very expensive and very unprecise.

The roughness paramters are usually define as : RMS of height, which correspond to vertical roughness and the correlation length and the autocorrelation fonction which is the horizontal roughness. But as surface are acquired and not just a profil, the correlation length become correlation curve and the correlation fonction is define along the two axes.



Two set of exemples :
An homogene surface of pebble taken near the Louvre
Pebble

A small pebble surface with a little structure :
Small Pebble