COMMENTS
On a previous occasion a similar accuracy estimation procedure, based
on Fourier transformation of terrain profiles, has been introduced by
the authors (Frederiksen, Jacobi and Justesen, 1978) and (Frederiksen,
Jacobi and Kubik, 1984).
Both the variogram estimation and the concept of terrain spectra have
been applied to practical DEM planning purposes for various types of
terrain.
In all landforms the theoretical result, that the slope of the vario-
gram is the slope of the terrain spectrum minus one
8 = -(a-1) (8)
has been confirmed, and consequently the two methods yield concordant
accuracy estimates or similar optimal sample spacings for pregiven
planning parameters.
REFERENCES
/1/ Berry, M.V. and Lewis: Proceeding of the Royal Society, London.
(1980).
/2/ Dixon and Maney: Introduction to Statistical Analysis, McGraw Hill,
London (1969).
/3/ Frederiksen, P., 0. Jacobi and K. Kubik: Measuring Terrain Roughness
by Topological Dimension. Proceedings. Internat.
Coll. on Mathematical Aspects of Digital Eleva-
tion Models, Stockholm. (1983).
/4/ Frederiksen, P., 0. Jacobi and J. Justesen: Fourier Transformation
von Hohenbeobachtungen, ZfV, 103. (1978).
/5/ Frederiksen, P., 0.Jacobi and K. Kubik: Accuracy Prediction for Digi-
tal Elevation Models. XV Congress of ISPRS, Comm.
III, Rio de Janeiro. (1984).
/6/ Matheron, G.: The theory of regionalized variables and its appli-
cations: Les Cahiers de Centre de Morphologie
Mathematique, Ecole National Supérieure des Mines
de Paris. (1971).
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