Abstract
Algorithms are presented for fitting data on the sphere by using tensor product splines which satisfy certain boundary constraints. First we consider the least-squares problem when the knots are given. Then we discuss the construction of smoothing splines on the sphere. Here the knots are located automatically. A Fortran IV implementation of these two algorithms is described.
Zusammenfassung
Algorithmen werden vorgestellt für den Ausgleich über die Sphäre mit Hilfe von Tensorprodukt-Splines, die gewissen Randbedingungen genügen müssen. Erst untersuchen wir das Problem der kleinsten Quadrate, wenn die Knoten gegeben sind. Dann besprechen wir die Konstruktion von Ausgleichssplines über die Sphäre. Die Knoten werden hier automatisch lokalisiert. Eine Fortran-IV-Version dieser zwei Algorithmen wird beschrieben.
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Dierckx, P. Algorithms for smoothing data on the sphere with tensor product splines. Computing 32, 319–342 (1984). https://doi.org/10.1007/BF02243776
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DOI: https://doi.org/10.1007/BF02243776