Shape preserving interpolation by cubic \(G^{1}\) splines in \({\mathbb{R}^3}\)

DOI10.1007/s11565-008-0048-yzbMath1178.65008OpenAlexW2009589861MaRDI QIDQ1041312

Emil Žagar, Gašper Jaklič

Publication date: 2 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0048-y

zbMATH Keywords

numerical examplesHermite interpolationgeometric continuitycubic spline interpolationcusp-freefold-freeloop-free

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (4)

Energy minimizing mountain ascent ⋮ Interpolation scheme for planar cubic \(G^2\) spline curves ⋮ Curvature variation minimizing cubic Hermite interpolants ⋮ Hermite interpolation by triangular cubic patches with small Willmore energy

Cites Work

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• Planar cubic \(G^{1}\) interpolatory splines with small strain energy
• Geometric Hermite interpolation with maximal order and smoothness
• Note on curve and surface energies
• High accuracy geometric Hermite interpolation
• Geometric Hermite curves with minimum strain energy
• Geometric interpolation by planar cubic \(G^{1}\) splines
• Subdivision schemes in geometric modelling
• On geometric interpolation by planar parametric polynomial curves
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
• A practical guide to splines.

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