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Unsphericity curvature (M) is a
halfdifference of maximal and minimal
curvatures*. The unit of measurement is m^{1}. , where
k_{max }, k_{min }, 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 nonspherical at the given point. Like other local morphometric
variables, unsphericity
curvature can be derived
from a digital elevation model (DEM) by a universal spectral
analytical method as well as finitedifference methods (e.g., method 1, method 2, and method 3). 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 373390.
** Florinsky,
I.V., 2016. An illustrated introduction to geomorphometry. Almamac Space
and Time, 11 (1): 20 p. (in Russian, with English abstract). Article
at the journal website
For
details and other examples, see:
