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- W4386906370 abstract "We deal with the problem of constructing, representing, and manipulating C3 quartic splines on a given arbitrary triangulation T, where every triangle of T is equipped with the quartic Wang–Shi macro-structure. The resulting C3 quartic spline space has a stable dimension and any function in the space can be locally built via Hermite interpolation on each of the macro-triangles separately, without any geometrical restriction on T. We provide a simplex spline basis for the space of C3 quartics defined on a single macro-triangle which behaves like a B-spline basis within the triangle and like a Bernstein basis for imposing smoothness across the edges of the triangle. The basis functions form a nonnegative partition of unity, inherit recurrence relations and differentiation formulas from the simplex spline construction, and enjoy a Marsden-like identity." @default.
- W4386906370 created "2023-09-21" @default.
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- W4386906370 date "2024-02-01" @default.
- W4386906370 modified "2023-10-16" @default.
- W4386906370 title "A local simplex spline basis for C3 quartic splines on arbitrary triangulations" @default.
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- W4386906370 doi "https://doi.org/10.1016/j.amc.2023.128330" @default.
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