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- W1768156695 abstract "Splines can be constructed by convolving the indicator function of the Voronoi cell of a lattice. This paper presents simple criteria that imply that only a small subset of such spline families can be refined: essentially the well-known box splines and tensor-product splines. Among the many non-refinable constructions are hex-splines and their generalization to non-Cartesian lattices. An example shows how non-refinable splines can exhibit increased approximation error upon refinement of the lattice." @default.
- W1768156695 created "2016-06-24" @default.
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- W1768156695 date "2012-09-26" @default.
- W1768156695 modified "2023-09-27" @default.
- W1768156695 title "Refinability of splines from lattice Voronoi cells" @default.
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