Naslov
A Bilinear Approximation of the Surface Relief in Terrain Correction Computations

Autori
Tsoulis, Dimitrios ; Wziontek, Hartmut ; Petrović, Svetozar

Izvornik
Journal of Geodesy (0949-7714) 77 (2003); 338-344

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Terrain correction; Polyhedron; Bilinear surfaces

Sažetak
A new method is presented for the computation of the gravitational attraction of topographic masses when their height information is given on a regular grid. It is shown that the representation of the terrain relief by means of a bilinear surface not only offers a serious alternative to the polyhedra modeling, but also approaches even more smoothly the continuous reality. Inserting a bilinear approximation into the known scheme of deriving closed analytical expressions for the potential and its first-order derivatives for an arbitrarily shaped polyhedron leads to a one-dimensional integration with - apparently - no analytical solution. However, due to the high degree of smoothness of the integrand function, the numerical computation of this integral is very efficient. Numerical tests using synthetic data and a densely sampled digital terrain model in the Bavarian Alps prove that the new method is comparable to or even faster than a terrain modeling using polyhedra.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Geodezija

POVEZANOST RADA