Rescaled box counting for the topological analysis of spatial data
Topological analysis of surfaces of natural objects can provide information about surface features (ridges, fragmentation, dendritic patterns) and surface roughness. Box counting is a general method useful for such surfaces, but it is currently limited to cases where the x, y, and z directions are all in the same metric. A method, rescaled box counting, is presented for overcoming these limitations. The local first omnidirectional semivariance (lag 1) is calculated for boxes of different sizes. If the semivariance is not small for small box sizes, then the z data need to be scaled up to allow detection of a difference between patches that are significantly different This rescaling converts the z metric into a distance equivalent (z units are converted into distances based on the horizontal distance over which a significant change in z is found to occur). Once rescaling is done, box counting can be used to quantify surface topology.
- Research Organization:
- Argonne National Lab., IL (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-31109-ENG-38; AC09-76SR00819
- OSTI ID:
- 10142283
- Report Number(s):
- ANL/ER/PP--74856; ON: DE94009820
- Country of Publication:
- United States
- Language:
- English
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