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The study and mapping of land surfaces, including relief (relative positions and elevations) and the position of natural and constructed features.
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Calculating Topographic Ruggedness Index in ArcGIS Desktop?
I would recommend to look outside ArcGIS)
Very easy using the free gdal software:
http://www.gdal.org/gdaldem.html
gdaldem TRI input_dem output_TRI_map
Or if you'd prefer it in saga gis:
http://www …