A further generalisation of the planar cubic Bézier spiral
type: Item
instance of: scholarly article
title: A further generalisation of the planar cubic Bézier spiral
zbMATH Open document ID: 1245.65020
author: D. J. Walton
author: D. S. Meek
published in: Journal of Computational and Applied Mathematics
publication date: 2012-05-07T00:00:00Z
review text: Spiral segments are useful in the design of fair curves. They are important in many applications. Cubic Bézier curves are commonly used in curve and surface design because they are of low degree, are easily evaluate, and allow inflection points. This paper generalizes early results on planar cubic Bézier spiral segments and examines techniques for curve design using the new results.
reviewed by: Mykhaylo Pahirya
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6031330
zbMATH Keywords: \(C\)--shaped
zbMATH Keywords: spiral segments
zbMATH Keywords: fair curves
zbMATH Keywords: Cubic Bézier curves
zbMATH Keywords: curve and surface design
MaRDI profile type: Publication
full work available at URL: j.cam.2012.01.024
OpenAlex ID: W2051543572
cites work: Q4256595
cites work: A planar cubic Bézier spiral
cites work: Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
cites work: A shape controled fitting method for Bézier curves
cites work: Interpolation with cubic spirals
cites work: High accuracy geometric Hermite interpolation
cites work: Q5725219
cites work: \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
cites work: \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
cites work: \(G^2\) cubic transition between two circles with shape control
DOI: 10.1016/J.CAM.2012.01.024
description: scientific article; zbMATH DE number 6031330