Geometric interpolation by planar cubic polynomial curves

DOI10.1016/j.cagd.2006.11.002zbMath1171.65311OpenAlexW1969775328MaRDI QIDQ733395

Marjeta Krajnc, Jernej Kozak

Publication date: 16 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.11.002

zbMATH Keywords

existencegeometric interpolationpolynomial curve

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

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 ⋮ Geometric interpolation by planar cubic \(G^{1}\) splines ⋮ Construction of \(G^{3}\) rational motion of degree eight ⋮ An approach to geometric interpolation by Pythagorean-hodograph curves ⋮ On geometric Lagrange interpolation by quadratic parametric patches ⋮ Geometric Hermite interpolation by cubic \(G^1\) splines ⋮ On planar polynomial geometric interpolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric Hermite interpolation with maximal order and smoothness
• Geometric Hermite interpolation
• High-order approximation of conic sections by quadratic splines
• High order approximation method for curves
• On geometric interpolation of circle-like curves
• Good approximation of circles by curvature-continuous Bézier curves
• Four point parabolic interpolation
• High accuracy geometric Hermite interpolation
• An \(O(h^{2n})\) Hermite approximation for conic sections
• 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 interpolation by planar cubic polynomial curves