Geometric Hermite interpolation by cubic \(G^1\) splines

DOI10.1016/j.na.2008.03.048zbMath1163.41303OpenAlexW2152484171MaRDI QIDQ1006697

Marjeta Krajnc

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.048

zbMATH Keywords

existencenonlinear equationsapproximation order\(G^{1}\) continuitycubic spline curveHermite geometric interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear ordinary differential equations and systems (34A34) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann, and Robin conditions ⋮ Sample-based polynomial approximation of rational Bézier curves ⋮ Hermite \(G^1\) rational spline motion of degree six ⋮ Interpolation scheme for planar cubic \(G^2\) spline curves ⋮ On \(\mathcal{C}^2\) rational motions of degree six ⋮ Construction of \(G^{3}\) rational motion of degree eight ⋮ On planar polynomial geometric interpolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric Hermite interpolation with maximal order and smoothness
• Geometric Hermite interpolation
• Geometric interpolation by planar cubic polynomial curves
• High accuracy geometric Hermite interpolation
• Interpolation with piecewise quadratic visually \(C^ 2\) Bézier polynomials
• On \(G^ 2\) continuous cubic spline interpolation
• Applications of global analysis to specific nonlinear eigenvalue problems
• Geometric Hermite interpolation -- in memoriam Josef Hoschek
• On geometric interpolation by planar parametric polynomial curves
• On Geometric Interpolation by Polynomial Curves
• A general framework for high-accuracy parametric interpolation

This page was built for publication: Geometric Hermite interpolation by cubic \(G^1\) splines