Chebyshev spaces with polynomial blossoms

DOI10.1023/A:1018995019439zbMath0933.65016MaRDI QIDQ1293215

Marie-Laurence Mazure

Publication date: 20 March 2000

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmChebyshev spacesshape parametersdimension elevationChebyshev-de Casteljau algorithmpolynomial blossoms

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (16)

Bernstein-type operators in Chebyshev spaces ⋮ Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming ⋮ Constructing totally positive piecewise Chebyshevian B-spline bases ⋮ On Chebyshevian spline subdivision ⋮ Sparse Pythagorean hodograph curves ⋮ A unified approach to non-polynomial B-spline curves based on a novel variant of the polar form ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ Dimension elevation for Chebyshevian splines ⋮ Dimension elevation formula for Chebyshevian blossoms ⋮ On the uniqueness of the multirational blossom ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ On a new criterion to decide whether a spline space can be used for design ⋮ A unifying structure for polar forms and for Bernstein Bézier curves ⋮ Blossoming stories ⋮ A polynomial blossom for the Askey-Wilson operator ⋮ \(q\)-blossoming for analytic functions

This page was built for publication: Chebyshev spaces with polynomial blossoms