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Unsphericity curvature (M) is a
half-difference of maximal and minimal
curvatures*. The unit of measurement is m-1. , where
kmax , kmin , K, and H are maximal, minimal, Gaussian, and mean curvatures,
correspondingly. Unsphericity curvature show the extent to
which the form of the land surface is non-spherical at the given point. Like other local morphometric
variables, unsphericity
curvature can be derived
from a digital elevation model (DEM) by finite-difference
methods (e.g., IF-2009
method and IF-1998
method) as well as the universal spectral
analytical method. Example**. A model of unsphericity curvature was
derived from a DEM of Mount Ararat by the universal spectral analytical
method. The model includes 779,401 points (the matrix 1081 x
721); the grid spacing is 1". To deal with the large
dynamic range of this variable, its
values were logarithmically transformed.
The vertical exaggeration of the 3D model is 2x. The data processing and modelling were carried out using the software Matlab R2008b. References
*
Shary, P.A., 1995. Land surface in gravity points classification by a
complete system of curvatures. Mathematical Geology, 27: 373–390.
** Florinsky,
I.V., 2017. An illustrated introduction to
general geomorphometry. Progress in Physical Geography, 41:
723–752. doi pdf
For
details and other examples, see:
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