Figure 1. K-L Expansion of Autocorrelation Functions of
Terrain Elevations. Orthogonal base functions (solid line)
and auto-regressive processes (dashed line, vertically
translated).
In the work by Forstner (1983), it was assumed that the
terrain elevations can be expressed by a second order auto-
regressive (AR) process. When examining the base functions
q, and d5; it was found that they are very similar to the
correlation functions of autoregressive (AR) processes.
Although not formally proved in this study, the basic
assumptions by Forstner seems to be justified. For
7687 -