GEOGRAPHY 275 - REPRESENTATION OF TERRAIN

Terrain representation

a function that maps location (x,y) to elevation (z) over a domain D
Instances
polygons with attributes

cells with attributes

grid with attributes plus interpolator

bilinear interpolator
triangular mesh with point attributes plus interpolator
linear interpolator

quintic interpolator

polylines (isolines) with attributes plus interpolator
CTOG and variants
others?
FEM

splines

spectral

wavelet

hydrological

morphological

multiple

Properties of terrain surfaces
continuity

extrema

invertibility
topological networks

differentiability

gradients
fractal properties

aggregation

Uncertainty
RMSE

spatial dependence

error propagation