Critical length: an alternative approach
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Publication:2297076
DOI10.1016/j.cam.2019.112603zbMath1493.65024arXiv1904.09253OpenAlexW2985685844MaRDI QIDQ2297076
Carolina Vittoria Beccari, Marie-Laurence Mazure, Giulio Casciola
Publication date: 18 February 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09253
shape preservationextended Chebyshev spacesgeneralised derivativesBernstein-type basesshape effectscritical length (for design)
Related Items (5)
Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Dimension elevation is not always corner-cutting ⋮ A remarkable Wronskian with application to critical lengths of cycloidal spaces ⋮ A practical method for computing with piecewise Chebyshevian splines
Cites Work
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- Mixed hyperbolic/trigonometric spaces for design
- On the critical lengths of cycloidal spaces
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Finding all systems of weight functions associated with a given extended Chebyshev space
- On a general new class of quasi Chebyshevian splines
- Generalized B-splines as a tool in isogeometric analysis
- 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 a new criterion to decide whether a spline space can be used for design
- Bernstein-type operators in Chebyshev spaces
- Chebyshev spaces and Bernstein bases
- Shape preservation regions for six-dimensional spaces
- Unified and extended form of three types of splines
- Blossoming: A geometrical approach
- C-curves: An extension of cubic curves
- Blossoms and optimal bases
- Chebyshev-Bernstein bases
- Constructing totally positive piecewise Chebyshevian B-spline bases
- Critical lengths of cycloidal spaces are zeros of Bessel functions
- Piecewise extended Chebyshev spaces: a numerical test for design
- Critical length for design purposes and extended Chebyshev spaces
- Helix splines as an example of affine Tchebycheffian splines
- Isogeometric collocation methods with generalized B-splines
- A remarkable Wronskian with application to critical lengths of cycloidal spaces
- A class of Bézier-like curves
- Design or not design? A numerical characterisation for piecewise Chebyshevian splines
- Paths of C-Bézier and C-B-spline curves
- A general class of Bernstein-like bases
- Ready-to-Blossom Bases in Chebyshev Spaces
- Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines
- Chebyshev splines beyond total positivity
- Shape preserving alternatives to the rational Bézier model
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