The numerical problem of using Bézier curves and surfaces in the power basis

DOI10.1016/0167-8396(89)90015-0zbMath0665.65013OpenAlexW2006584388MaRDI QIDQ1116269

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-8396(89)90015-0

zbMATH Keywords

numerical examplescomputer aided designBézier curvesBernstein basismatrix conditioningDe Casteljau algorithmpower basisBézier methodHorner algorithm

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Related Items

Recursive de Casteljau bisection and rounding errors, Polynomial basis conversion made stable by truncated singular value decomposition, The Bernstein polynomial basis: a centennial retrospective, On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms, On the degree elevation of Bernstein polynomial representation, On the stability of transformations between power and Bernstein polynomial forms, Predictive Control for Path-Following. From Trajectory Generation to the Parametrization of the Discrete Tracking Sequences, Multiple Degree Reduction and Elevation of Bézier Curves Using Jacobi–Bernstein Basis Transformations, Legendre-Bernstein basis transformations, Evaluation of the derivative of a polynomial in Bernstein form, A unified approach for degree reduction of polynomials in the Bernstein basis. I: Real polynomials

Cites Work

• On the numerical condition of polynomials in Bernstein form
• Algorithms for polynomials in Bernstein form
• Singular value decomposition and least squares solutions
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