geoprimsField-grade geospatial math

Terrain

What a digital elevation model says about a cell: how steep it is, which way it faces, and how broken the ground around it is.

Terrain tools read a 3 x 3 window of a digital elevation model and describe its center cell: slope, aspect, and hillshade by Horn's method, and the terrain ruggedness index, topographic position index, and roughness. GIS analysts, hydrologists, and site planners use them to check a cell by hand or to test the numbers a GIS reports. Start with slope, aspect, and hillshade. One pitfall: on a grid in degrees, a cell is narrower east to west than north to south away from the equator, so its size must be corrected for latitude, which the slope tool does.

I want to find the slope, aspect, and hillshade of a cell

I want to describe how rugged the ground is, and whether a cell is a ridge or a hollow