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Optimal knots allocation in the cubic and bicubic spline interpolation problems

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Publication:1997631
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DOI10.1016/j.matcom.2018.11.002OpenAlexW2901410247WikidataQ128984271 ScholiaQ128984271MaRDI QIDQ1997631

Yanyan Li

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.11.002


zbMATH Keywords

interpolationcubic/bicubic B-splinesknots allocation


Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Optimality conditions (49Kxx)


Related Items (1)

A new deterministic heuristic knots placement for B-spline approximation



Cites Work

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  • An approximation method with data selection process
  • The sensitivity of a spline function to perturbations of the knots
  • Genetic algorithms. Concepts and designs
  • The poisedness of interpolation problem for splines
  • A condition of Schoenberg-Whitney type for multivariate spline interpolation
  • An error-bounded approximate method for representing planar curves in B-splines
  • A practical guide to splines.




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