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- W2274631510 abstract "We introduce here a direct method to construct multivariate explicit B-spline bases. B-splines are piecewise polynomials, which are defined on adjacent tetrahedra and which are $C^{r}$ continuous throughout. The $C^{r}$ continuity is enforced by making sure that all directional derivatives of order $r$, and lower, on the boundaries of adjacent tetrahedra give the same values for both tetrahedra. The method presented here is explicit, in that we will provide an algorithm with which one can analytically construct the B-spline base that enforces $C^{r}$ continuity for a given geometry." @default.
- W2274631510 created "2016-06-24" @default.
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- W2274631510 date "2014-09-12" @default.
- W2274631510 modified "2023-09-27" @default.
- W2274631510 title "Constructing Explicit B-Spline" @default.
- W2274631510 hasPublicationYear "2014" @default.
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