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Bernstein-Bézier methods for the construction of bivariate spline approximants. (English) Zbl 0586.65009
Bernstein-Bézier polynomials over triangles are used to define interpolants. Two regular kinds of triangular meshes are considered, and interpolants to positional and/or derivative data are constructed and their properties studied.
Reviewer: G.Farin

MSC:
65D07 Numerical computation using splines
41A15 Spline approximation
41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)
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