\(G^1\) interpolation with a single Cornu spiral segment
type: Item
instance of: scholarly article
title: \(G^1\) interpolation with a single Cornu spiral segment
zbMATH Open document ID: 1155.65013
author: D. J. Walton
author: D. S. Meek
published in: Journal of Computational and Applied Mathematics
publication date: 2008-11-20T00:00:00Z
review text: The problem of a two point \(G^1\) Hermite interpolation using the Cornu spiral (clothoid, Euler spiral) without pre-processing is considered. The solution proposed is based on bisection (Newton-Raphson iteration) which is simpler than numerical optimization. Five illustrative examples treat both \(C\)- and \(S\)-shape cases.
reviewed by: Ljubiša Kocić
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5370020
zbMATH Keywords: Cornu spiral
zbMATH Keywords: clothoid
zbMATH Keywords: Euler spiral
zbMATH Keywords: \(G^1\) interpolation
zbMATH Keywords: numerical examples
zbMATH Keywords: Hermite interpolation
MaRDI profile type: Publication
full work available at URL: j.cam.2007.12.022
OpenAlex ID: W2019976810
cites work: Q3661894
cites work: Q4870747
cites work: Shape-preserving interpolation by G1 and G2 PH quintic splines
cites work: Q5725219
cites work: Q5850097
cites work: Euler spiral for shape completion
cites work: Mathematical typography
cites work: The use of Cornu spirals in drawing planar curves of controlled curvature
cites work: Clothoid Spline Transition Spirals
cites work: The family of biarcs that matches planar, two-point \(G^{1}\) Hermite data
cites work: Offset curves of clothoidal splines
cites work: Curve fitting with arc splines for NC toolpath generation
DOI: 10.1016/J.CAM.2007.12.022
description: scientific article; zbMATH DE number 5370020