Recursive polynomial curve schemes and computer-aided geometric design

DOI10.1007/BF01891409zbMath0682.41016MaRDI QIDQ1824123

Ronald N. Goldman, Phillip J. Barry

Publication date: 1990

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

computer-aided geometric designBézier curvesLagrange polynomialsB-spline curveCatmull-Rom splinepolynomial curve schemesrecursive evaluation algorithmUrn mdel

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Spline approximation (41A15)

Related Items

Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming ⋮ On the variation-diminishing property ⋮ Quantum B-splines ⋮ \(q\)-blossoming: A new approach to algorithms and identities for \(q\)-Bernstein bases and \(q\)-Bézier curves ⋮ Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices ⋮ Two essential properties of \((q, h)\)-Bernstein-Bézier curves ⋮ Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications ⋮ Quantum \((q, h)\)-Bézier surfaces based on bivariate \((q, h)\)-blossoming ⋮ Quantum Bernstein bases and quantum Bézier curves

Uses Software

• REDUCE

Cites Work

• A survey of curve and surface methods in CAGD
• Urn models and B-splines
• A practical guide to splines
• Spline approximation by quasiinterpolants
• On calculating with B-splines
• Markov chains and computer-aided geometric design: part I - problems and constraints
• Polya’s Urn Model and Computer Aided Geometric Design
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Markov chains and computer aided geometric design: Part II—examples and subdivision matrices
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