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Dimension elevation for Chebyshevian splines

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Publication:621778
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DOI10.1007/s11075-010-9369-xzbMath1216.65016OpenAlexW2056703476MaRDI QIDQ621778

Marie-Laurence Mazure

Publication date: 28 January 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9369-x


zbMATH Keywords

parametric curvesdegree elevationpolesblossomsdimension elevationextended Chebyshev spaceChebyshevian splinesknot multiplicities


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)




Cites Work

  • Dimension elevation formula for Chebyshevian blossoms
  • The geometry of Tchebycheffian splines
  • Degree elevation of B-spline curves
  • Blossoms are polar forms
  • Understanding recurrence relations for Chebyshevian B-splines via blossoms
  • A recurrence relation for Chebyshevian B-splines
  • Degree raising for splines
  • A fast algorithm to raise the degree of spline curves
  • Blossoming: A geometrical approach
  • Polynomial Chebyshev splines
  • Chebyshev spaces with polynomial blossoms
  • A simple, efficient degree raising algorithm for B-spline curves
  • Algorithms for degree-raising of splines


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