Monotone and convex Hermite interpolants generated by an adaptive subdivision scheme

DOI10.1016/S0764-4442(01)02072-9zbMath1013.65009OpenAlexW2076330734MaRDI QIDQ2761880

Jean-Louis Merrien, Paul Sablonniere

Publication date: 26 June 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02072-9

zbMATH Keywords

algorithmscomputer-aided geometric designsubdivision algorithmconvex interpolationmonotone interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation with constraints (41A29)

Related Items (4)

Visualization of 3D data preserving convexity ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Shape-preserving interpolation by splines using vector subdivision ⋮ Conditions on shape preserving of stationary polynomial reproducing subdivision schemes

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