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In [2], Billera proved that the R-algebra of continuous piecewise polynomial functions (C 0 splines) on a d-dimensional simplicial complex embedded in R d is a quotient of the Stanley–Reisner ring A of. We derive a criterion to determine which elements of the Stanley–Reisner ring correspond to splines of higher-order smoothness. In [5], Lau and Stiller… (More)

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