G.Nürnberger, O.Davydov, G.Walz and F.Zeilfelder, Interpolation by bivariate splines on crosscut partitions, in "Multivariate Approximation and Splines" (G.Nürnberger, J.W.Schmidt and G.Walz, Eds.), pp. 189-203, ISNM, Birkhäuser, 1997.

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 $\RR^2$. 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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