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Multivariate rational interpolation
Computing, 1985The problem of approximating a multivariate function by interpolatory functions is not an easy one. Many papers have already been published on the subject of polynomial interpolation and also on the subject of multivariate Padé approximation. But the problem of multivariate rational interpolation has only recently been considered.
Cuyt, Annie A.M., Verdonk, B.M.
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A multivariate Powell–Sabin interpolant
Advances in Computational Mathematics, 2007The problem of constructing a \({C}^{1}\) piecewise quadratic interpolant to positional and gradient data defined at the vertices of a tessellation of \(n\)-simplices in \(\mathbb R^{n}\) is approached. The authors propose for the interpolation scheme to split the \(n\)-simplices in an appropriately tessellation such that subdivision points satisfy ...
Tatyana Sorokina, Andrew J. Worsey
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Multivariate Perpendicular Interpolation
SIAM Journal on Numerical Analysis, 1985One of the really important problems of multivariate approximation theory is the one of interpolating to a large number of scattered data. Applications include the modeling of physical phenomena involving space and time coordinates and the computer aided design (CAD) of geometric objects.
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