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A Bilinear Approximation of the Surface Relief in Terrain Correction Computations (CROSBI ID 122928)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Tsoulis, Dimitrios ; Wziontek, Hartmut ; Petrović, Svetozar A Bilinear Approximation of the Surface Relief in Terrain Correction Computations // Journal of geodesy, 77 (2003), 338-344-x

Podaci o odgovornosti

Tsoulis, Dimitrios ; Wziontek, Hartmut ; Petrović, Svetozar

engleski

A Bilinear Approximation of the Surface Relief in Terrain Correction Computations

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.

Terrain correction; Polyhedron; Bilinear surfaces

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Podaci o izdanju

77

2003.

338-344-x

objavljeno

0949-7714

Povezanost rada

Geodezija, Matematika

Indeksiranost