A note on curvature variation minimizing cubic Hermite interpolants

DOI10.1016/j.amc.2014.11.113zbMath1464.65014OpenAlexW2067299502MaRDI QIDQ1636881

Li-Zheng Lu

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.113

zbMATH Keywords

curvatureminimizationcubic curve\(G^1\) Hermite interpolationjerk energy

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Curves in Euclidean and related spaces (53A04)

Related Items (3)

On the linear independence of the derivatives of Bernstein polynomials ⋮ Cubic trigonometric Hermite interpolation curve: construction, properties, and shape optimization ⋮ The quartic Catmull-Rom spline with local adjustability and its shape optimization

Cites Work

• Unnamed Item
• Curvature variation minimizing cubic Hermite interpolants
• Planar cubic \(G^{1}\) interpolatory splines with small strain energy
• Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\)
• Interpolating curves with gradual changes in curvature
• Hermite interpolation by triangular cubic patches with small Willmore energy

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