Abstract
We give a survey of recent methods to construct Lagrange interpolation points for splines of arbitrary smoothness r and degree q on general crosscut partitions in ℝ2. For certain regular types of partitions, also results on Hermite interpolation sets and on the approximation order of the corresponding interpolating splines are given.
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Nürnberger, G., Davydov, O.V., Walz, G., Zeilfelder, F. (1997). Interpolation by Bivariate Splines on Crosscut Partitions. In: Nürnberger, G., Schmidt, J.W., Walz, G. (eds) Multivariate Approximation and Splines. ISNM International Series of Numerical Mathematics, vol 125. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8871-4_16
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DOI: https://doi.org/10.1007/978-3-0348-8871-4_16
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