The approximation order of four-point interpolatory curve subdivision

DOI10.1016/j.cam.2011.03.018zbMath1231.65023OpenAlexW1966940656MaRDI QIDQ651102

Michael S. Floater

Publication date: 8 December 2011

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.2011.03.018

zbMATH Keywords

interpolationapproximation orderinterpolatory subdivisionchordal parameterizationirregularly spaced points

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05)

Related Items (1)

A new four-point shape-preserving \(C^3\) subdivision scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Four-point curve subdivision based on iterated chordal and centripetal parameterizations
• A piecewise polynomial approach to analyzing interpolatory subdivision
• On the deviation of a parametric cubic spline interpolant from its data polygon
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Regularity of irregular subdivision
• Subdivision schemes and irregular grids
• Interpolation through an iterative scheme
• Arc length estimation and the convergence of polynomial curve interpolation
• Parameterization for Curve Interpolation
• Chordal cubic spline interpolation is fourth-order accurate
• Subdivision schemes in geometric modelling
• Two chain rules for divided differences and Faà di Bruno’s formula
• Simple Regularity Criteria for Subdivision Schemes

This page was built for publication: The approximation order of four-point interpolatory curve subdivision