Analysis of Hermite subdivision using piecewise polynomials

DOI10.1007/s10543-012-0418-9zbMath1273.65025OpenAlexW2148886322MaRDI QIDQ2376860

Michael S. Floater, Bartłomiej Siwek

Publication date: 26 June 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0418-9

zbMATH Keywords

splineinterpolatory subdivisionHermite subdivision

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

A Hermite interpolatory subdivision scheme constructed from quadratic rational Bernstein-Bezier spline ⋮ Symbols and exact regularity of symmetric pseudo-splines of any arity

Cites Work

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• A piecewise polynomial approach to analyzing interpolatory subdivision
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• A family of Hermite interpolants by bisection algorithms
• Regularity of irregular subdivision
• On the regularity analysis of interpolatory Hermite subdivision schemes
• Interpolation through an iterative scheme
• Monotone and convex \(C^1\) Hermite interpolants generated by a subdivision scheme
• Subdivision schemes in geometric modelling
• C1 Interpolatory Subdivision with Shape Constraints for Curves
• Simple Regularity Criteria for Subdivision Schemes

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