Pseudoaffinity, de Boor algorithm, and blossoms

DOI10.1007/s10444-005-7450-0zbMath1122.65019OpenAlexW2086462976MaRDI QIDQ878093

Marie-Laurence Mazure

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1007/s10444-005-7450-0

zbMATH Keywords

Chebyshev spacesB-spline basesgeometric designblossomingChebyshev splinespseudoaffinity

Mathematics Subject Classification ID

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

Cites Work

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• The geometry of Tchebycheffian splines
• On the equivalence between existence of \(B\)-spline bases and existence of blossoms
• Blossoms are polar forms
• Properties of \(\beta\)-splines
• A recurrence relation for Chebyshevian B-splines
• Piecewise polynomial spaces and geometric continuity of curves
• Blossoming: A geometrical approach
• Blossoms and optimal bases
• de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
• New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
• B-spline bases and osculating flats: One result of H.-P. Seidel revisited
• Blossoming beyond extended Chebyshev spaces
• Four properties to characterize Chebyshev blossoms

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