Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Thin-plate spline quadrature of geodetic integrals
Abstract Thin-plate splines — well known for their flexibility and fidelity in representing experimental data — are especially suited for the numerical evaluation of geodetic integrals in the area where these are most sensitive to the data, i.e. in the immediate vicinity of the computation point. Quadrature rules that are exact for thin-plate splines interpolating randomly spaced data are derived for the inner zone contribution (to a planar approximation) to Stokes's formula, to the formulae of Vening Meinesz and to theL1 gradient operator in the analytical continuation solution of Molodensky's problem. The quadrature method is demonstrated by calculating the inner zone contribution to height anomalies in a mountainous area of Lesotho and carrying out a comparison with GPS-derived heights. Height anomalies are recovered with an accuracy of 6 cm.
Thin-plate spline quadrature of geodetic integrals
Abstract Thin-plate splines — well known for their flexibility and fidelity in representing experimental data — are especially suited for the numerical evaluation of geodetic integrals in the area where these are most sensitive to the data, i.e. in the immediate vicinity of the computation point. Quadrature rules that are exact for thin-plate splines interpolating randomly spaced data are derived for the inner zone contribution (to a planar approximation) to Stokes's formula, to the formulae of Vening Meinesz and to theL1 gradient operator in the analytical continuation solution of Molodensky's problem. The quadrature method is demonstrated by calculating the inner zone contribution to height anomalies in a mountainous area of Lesotho and carrying out a comparison with GPS-derived heights. Height anomalies are recovered with an accuracy of 6 cm.
Thin-plate spline quadrature of geodetic integrals
van Gysen, Herman (Autor:in)
Bulletin géodésique ; 68
1994
Aufsatz (Zeitschrift)
Englisch
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
Thin plate spline interpolation
| Online Contents | 2019
Thin plate spline interpolation
| Online Contents | 2019
Fast space-domain evaluation of geodetic surface integrals
| Online Contents | 1997
Transfinite Thin Plate Spline Interpolation
| British Library Online Contents | 2011
On the accurate numerical evaluation of geodetic convolution integrals
| Online Contents | 2011