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Bivariate interpolation with quadratic box splines

Authors: Morten Dæhlen and Tom Lyche
Journal: Math. Comp. 51 (1988), 219-230
MSC: Primary 41A05; Secondary 41A15, 65D07
MathSciNet review: 942151
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Abstract: Existence and uniqueness results are given for interpolation with translates of a bivariate, three-directional, ${C^0}$-quadratic box spline over a finite polygonal region. A Hermite interpolation problem for a slightly more general box spline is also considered.

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Additional Information

Keywords: Interpolation, box splines, bivariate, three-direction grid
Article copyright: © Copyright 1988 American Mathematical Society