Geometric interpolation by planar cubic \(G^{1}\) splines

DOI10.1007/s10543-007-0133-0zbMath1139.65008OpenAlexW2026349966MaRDI QIDQ2458224

Marjeta Krajnc, Jernej Kozak

Publication date: 31 October 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0133-0

zbMATH Keywords

numerical examplesgeometric interpolation\(G^{1}\) continuitycubic spline curve

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Hermite \(G^1\) rational spline motion of degree six, Interpolation scheme for planar cubic \(G^2\) spline curves, Planar cubic \(G^{1}\) interpolatory splines with small strain energy, A constructive framework for minimal energy planar curves, An approach to geometric interpolation by Pythagorean-hodograph curves, Shape preserving interpolation by cubic \(G^{1}\) splines in \({\mathbb{R}^3}\)

Cites Work

• 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
• Geometric Hermite interpolation -- in memoriam Josef Hoschek
• On Geometric Interpolation by Polynomial Curves
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