A constructive framework for minimal energy planar curves

DOI10.1016/j.amc.2015.11.047zbMath1410.65018OpenAlexW2219436351MaRDI QIDQ671000

Juan-Miguel Gracia

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.11.047

zbMATH Keywords

Hermite interpolationgeometric interpolationnonlinear splineparametric cubic spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Elastic splines. II. Unicity of optimal s-curves and curvature continuity ⋮ An elastic flow for nonlinear spline interpolations in ℝⁿ ⋮ Quasi-elastic cubic splines in \(\mathbb{R}^d\) ⋮ Elastic splines III: existence of stable nonlinear splines ⋮ Curve Ensemble

Cites Work

• Unnamed Item
• Planar quintic \(G^2\) Hermite interpolation with minimum strain energy
• Elastic splines I: existence
• Planar cubic \(G^{1}\) interpolatory splines with small strain energy
• On the deviation of a parametric cubic spline interpolant from its data polygon
• High accuracy geometric Hermite interpolation
• Energy formulations of \(A\)-splines
• Interpolation with minimal-energy splines
• Unified representations of nonlinear splines
• Geometric Hermite curves with minimum strain energy
• Geometric interpolation by planar cubic \(G^{1}\) splines
• Best Near-Interpolation by Curves: Existence

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