TY  - THES
A1  - Luther, Anna
T1  - Vector Field Approximation on Regular Surfaces in Terms of Outer Harmonic Representations
N2  - The present work deals with the (global and local) modeling of the windfield on the real topography of Rheinland-Pfalz. Thereby the focus is on the construction of a vectorial windfield from low, irregularly distributed data given on a topographical surface. The developed spline procedure works by means of vectorial (homogeneous, harmonic) polynomials (outer harmonics) which control the oscillation behaviour of the spline interpoland. In the process the characteristic of the spline curvature which defines the energy norm is assumed to be on a sphere inside the Earth interior and not on the Earth’s surface. The numerical advantage of this method arises from the maximum-minimum principle for harmonic functions.
N2  - Vektorfeldapproximation auf regulären Flächen mittels Outer Harmonics
KW  - Spline-Approximation
KW  - Harmonische Spline-Funktion
KW  - Vektorfeldapproximation
KW  - Sphärische Approximation
KW  - Vectorfield approximation
KW  - spherical approximation
Y1  - 2007
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1904
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-21353
ER  -