In any case, we should document with a formula or a citation what this is, because to my understandfing, they are different definitions that are not equivalent under all conditions.
The definition by martin Müser is the mean of the profile curvatures in each direction, which quite popular as well. Maybe we can also report the profile curvatures in each direction.
[Müs16] Martin H. Müser. A dimensionless measure for adhesion and effects of the range of adhesion in contacts of nominally flat surfaces. Tribology International, 100:41–47, August 2016.
[JJP17] Tevis D B Jacobs, Till Junge, and Lars Pastewka. Quantitative charac- terization of surface topography using spectral analysis. Surface Topog- raphy: Metrology and Properties, 5(1):13001, 2017.
In PyCo rms_Laplacian is registered as rms_curvature and the rms_Laplacian is twice the rms_curvature.
I checked that the value of Topobank is exactly PyCo's rms_curvature, see for example the surface Test_curvature, created with
In any case, we should document with a formula or a citation what this is, because to my understandfing, they are different definitions that are not equivalent under all conditions.
The definition by martin Müser is the mean of the profile curvatures in each direction, which quite popular as well. Maybe we can also report the profile curvatures in each direction.
[Müs16] Martin H. Müser. A dimensionless measure for adhesion and effects of the range of adhesion in contacts of nominally flat surfaces. Tribology International, 100:41–47, August 2016.
[JJP17] Tevis D B Jacobs, Till Junge, and Lars Pastewka. Quantitative charac- terization of surface topography using spectral analysis. Surface Topog- raphy: Metrology and Properties, 5(1):13001, 2017.