Abstract
In this paper we take a first look at interpolation and approximation by linear combinations of translates of elliptic basis functions defined on IR2, i.e., basis functions with elliptic contour lines. Since these basis functions will be seen to have ridge-type shape this constructive strategy should be useful in case of structures with edges.
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Lenze, B., Locher, F. (1990). On Ridge-Type Functions with Elliptic Contour Lines. In: Haußmann, W., Jetter, K. (eds) Multivariate Approximation and Interpolation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 94. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5685-0_14
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DOI: https://doi.org/10.1007/978-3-0348-5685-0_14
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