Basis conversion among Bézier, Tchebyshev and Legendre

DOI10.1016/S0167-8396(98)00009-0zbMath0905.68145OpenAlexW2040983346MaRDI QIDQ1128910

S. H. Smith

Publication date: 13 August 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(98)00009-0

zbMATH Keywords

Legendre polynomialsBézierbasis conversionTchebyshev

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Approximation by polynomials (41A10)

Related Items (12)

Basis conversions among univariate polynomial representations ⋮ A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series ⋮ Approximate solutions of differential equations by using the Bernstein polynomials ⋮ The Bernstein polynomial basis: a centennial retrospective ⋮ A simple matrix form for degree reduction of Bézier curves using Chebyshev-Bernstein basis transformations ⋮ Exploiting parity in converting to and from Bernstein polynomials and orthogonal polynomials ⋮ Inversion approximations for functions via \(s\)-power series ⋮ Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions ⋮ Discontinuous Petrov-Galerkin and Bernstein-Legendre Polynomials Method for Solving Fractional Damped Heat- and Wave-like Equations ⋮ Legendre-Bernstein basis transformations ⋮ Evaluation of the derivative of a polynomial in Bernstein form ⋮ Matrix representation for multi-degree reduction of Bézier curves

Cites Work

• Curve offsetting based on Legendre series
• Degree reduction of Bézier curves
• Degree reduction of Bézier curves
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