Design or not design? A numerical characterisation for piecewise Chebyshevian splines
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Publication:2414695
DOI10.1007/s11075-018-0533-zzbMath1415.65029OpenAlexW2800693656MaRDI QIDQ2414695
Carolina Vittoria Beccari, Marie-Laurence Mazure, Giulio Casciola
Publication date: 17 May 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11585/665639
connection matricesB-spline basesblossomsBernstein bases(piecewise) generalised derivativespiecewise Chebyshevian splines
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
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- NURBS or not NURBS?
- Mixed hyperbolic/trigonometric spaces for design
- Design with L-splines
- Polynomial splines as examples of Chebyshevian splines
- Finding all systems of weight functions associated with a given extended Chebyshev space
- How to build all Chebyshevian spline spaces good for geometric design?
- Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines
- The geometry of Tchebycheffian splines
- On the equivalence between existence of \(B\)-spline bases and existence of blossoms
- A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines
- Chebyshev spaces and Bernstein bases
- 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
- Chebyshev splines and shape parameters
- Blossoms and optimal bases
- Pierre Bézier: An engineer and a mathematician
- On the dimension of Tchebycheffian spline spaces over planar T-meshes
- Constructing totally positive piecewise Chebyshevian B-spline bases
- Piecewise extended Chebyshev spaces: a numerical test for design
- Piecewise Chebyshevian splines: interpolation versus design
- Critical length for design purposes and extended Chebyshev spaces
- de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
- One sided Hermite interpolation by piecewise different generalized polynomials
- On a class of weak Tchebycheff systems
- Ready-to-Blossom Bases in Chebyshev Spaces
- Chebyshev splines beyond total positivity
