Dear Daniel

[BiancaBarreto]

Dear Daneil

I would like to know which mathematical formula is used in the diagram to calculate the roughness index.

Thanks

[daniel]

No real formula, but the computation of the best fit plane on the points neighbors (see https://www.cloudcompare.org/doc/wiki/i ... =Roughness).

[Yehoshua]

It looks like you have a few questions about the roughness calculation. I know you have written out a description of how it is calculated but would this formula be an accurate representation of your description?

Rj=(|ΔZ1|+|ΔZ2|…|ΔZi |)/n

where R is roughness calculated for points within a kernel radius of j, 𝛥Z is the difference in elevation from a measurement point and the least squares plane calculated by the nearest neighboring measurement points and n is the number of measurement points within a kernel radius.

[daniel]

Actually the roughness value for a single point is directly (and only) the distance from this point to the best fitting plane. There's no sum or average.