Minkowski Parameters
The Minkowski Parameters (Volume, Surface Area, Integral of mean curvature, and Integral of total curvature) are the structures characterizing parameters to analyze mathematical topology and can be computed for a selected Material ID. These parameters can be used e.g. for image processing, estimating root lengths or hysteresis.
The needed parameters can be entered by clicking the Edit… button. The Minkowski Parameters dialog includes the Minkowski Parameter Options tab and the Equation & References tab, which cites J.Ohser, F.Mücklich on which the algorithm is based.
At the top of the dialog, enter the Result File Name. The result file is saved in the chosen project folder (File → Choose Project Folder in the menu bar).
Minkowski Parameter Options
Compute for Material ID defines the Material ID for which the Minkowski Parameters are computed.
Selecting Periodic, the structure is assumed to be periodic, so that the material that ends on one side of the volume reappears on the opposite side. Otherwise, symmetric boundary conditions are used.
As Algorithm 2 from Estimate Surface Area is used in this command, a staggered grid will be used, too.
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