Constructing totally positive piecewise Chebyshevian B-spline bases
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Publication:1639570
DOI10.1016/j.cam.2018.03.032zbMath1391.65040OpenAlexW2800182126WikidataQ129910812 ScholiaQ129910812MaRDI QIDQ1639570
Publication date: 13 June 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.032
shape parameterstotal positivityB-spline basesgeometric designblossomsextended Chebyshev spacesgeneralised derivativesBernstein-type bases
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
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Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Design or not design? A numerical characterisation for piecewise Chebyshevian splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Geometrically continuous piecewise Chebyshevian NU(R)BS ⋮ Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties ⋮ Critical length: an alternative approach ⋮ A practical method for computing with piecewise Chebyshevian splines
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