TY  - INPR
A1  - Freeden, Willi
A1  - Glockner, Oliver
A1  - Schreiner, Michael
T1  - Spherical panel clustering and its numerical aspects
N2  - In modern approximation methods linear combinations in terms of (space localizing) radial basis functions play an essential role. Areas of application are numerical integration formulas on the uni sphere omega corresponding to prescribed nodes, spherical spline interpolation, and spherical wavelet approximation. the evaluation of such a linear combination is a time consuming task, since a certain number of summations, multiplications and the calculation of scalar products are required. This paper presents a generalization of the panel clustering method in a spherical setup. The economy and efficiency of panel clustering is demonstrated for three fields of interest, namely upward continuation of the earth's gravitational potential, geoid computation by spherical splines and wavelet reconstruction of the gravitational potential.
T3  - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 183 
KW  - Panel clustering
KW  - numerical integration
KW  - spline and wavelet based determination of the geoid and the gravitational potential
Y1  - 1997
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/619
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-5888
N1  - Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/620-183
ER  -