On multivariate polynomials in Bernstein-Bézier form and tensor algebra

DOI10.1016/j.cam.2011.04.032zbMath1233.65016OpenAlexW1966118370MaRDI QIDQ651114

Hendrik Speleers

Publication date: 8 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.032

zbMATH Keywords

splinesmultivariate polynomialsHermite interpolationmultilinear algebratensorsblossomingde Casteljau algorithmBernstein-Bézier forms

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Construction and analysis of cubic Powell-Sabin B-splines, Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations, Extraction and application of super-smooth cubic B-splines over triangulations, Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision, Three recipes for quasi-interpolation with cubic Powell-Sabin splines, A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines, Quasi-interpolant operators in Bernstein basis, Multivariate Bernstein operators and redundant systems, A family of smooth quasi-interpolants defined over Powell-Sabin triangulations

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