Algorithms for smoothing data on the sphere with tensor product splines |
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Authors: | Dr. Ir. P. Dierckx |
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Affiliation: | 1. Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200 A, B-3030, Heverlee, Belgium
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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. |
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