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Error estimates for approximations from control nets

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Publication:1208494
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DOI10.1016/0167-8396(93)90051-4zbMath0765.65015OpenAlexW2032150241MaRDI QIDQ1208494

Robert Schaback

Publication date: 16 May 1993

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90051-4

zbMATH Keywords

error estimatessubdivisioncomputer aided geometric designconvergence orderknot insertionrational \(B\)-splinecontrol netsflatness test


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10)


Related Items

Lower bound functions for polynomials, Knot removal for B-spline curves, A parallel multistage method for surface/surface intersection



Cites Work

  • Unnamed Item
  • Subdivision algorithms converge quadratically
  • Generalized subdivision and convergence
  • On the convergence rates of subdivision algorithms for box spline surfaces
  • A new multiaffine approach to B-splines
  • Sard kernel theorems on triangular domains with application to finite element error bounds
  • Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
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