Curvature variation minimizing cubic Hermite interpolants

DOI10.1016/j.amc.2011.09.039zbMath1243.41001OpenAlexW2053547032MaRDI QIDQ426444

Gašper Jaklič, Emil Žagar

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.039

zbMATH Keywords

curvatureminimizationgeometric Hermite interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (6)

Curvature approximation of circular arcs by low-degree parametric polynomials ⋮ A note on curvature variation minimizing cubic Hermite interpolants ⋮ Planar quintic \(G^2\) Hermite interpolation with minimum strain energy ⋮ Unnamed Item ⋮ Hermite interpolation by triangular cubic patches with small Willmore energy ⋮ Area-preserving geometric Hermite interpolation

Cites Work

• Unnamed Item
• Planar cubic \(G^{1}\) interpolatory splines with small strain energy
• On the deviation of a parametric cubic spline interpolant from its data polygon
• The theoretical analysis and algorithm on a class of optimal curve fitting problems
• Shape preserving interpolation by cubic \(G^{1}\) splines in \({\mathbb{R}^3}\)
• High accuracy geometric Hermite interpolation
• Efficient approximation of minimum energy curves with interpolatory constraints
• On geometric interpolation by planar parametric polynomial curves

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