Bernstein-type bases and corner cutting algorithms for \(C^1\) Merrien's curves

DOI10.1023/A:1025870005361zbMath1045.65009MaRDI QIDQ1424954

Paul Sablonniere

Publication date: 15 March 2004

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencesubdivision algorithmconvex interpolationmonotone interpolationBernstein-type basiscorner-cutting algorithm

Mathematics Subject Classification ID

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

Related Items (7)

Hermite subdivision with shape constraints on a rectangular mesh ⋮ Curve and surface construction using Hermite subdivision schemes ⋮ Polynomial cubic splines with tension properties ⋮ Shape-preserving \(C^1\) Hermite interpolants generated by a Gori-Pitolli subdivision scheme ⋮ A geometric approach for Hermite subdivision ⋮ Shape preserving \(HC^2\) interpolatory subdivision ⋮ On constrained nonlinear Hermite subdivision

Uses Software

• pchip

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