\(G^2\) cubic transition between two circles with shape control
type: Item
instance of: scholarly article
title: \(G^2\) cubic transition between two circles with shape control
zbMATH Open document ID: 1156.65014
author: Zulfiqar Habib
author: Manabu Sakai
published in: Journal of Computational and Applied Mathematics
publication date: 2008-11-20T00:00:00Z
review text: \textit{D. J. Walton} and \textit{D. S. Meek} [Comput.-Aided Des. 31, No.~14, 857--866 (1999; Zbl 1038.68579)] studied a \(G^2\)-transition between two circles with a single fair cubic Bézier curve [cf. \textit{Z. Habib} and \textit{M. Sakai}, Int. J. Comput. Math. 80, No.~8, 959--967 (2003; Zbl 1042.65018)]. The authors simplyfy and extend the analysis contained in the foregoing papers. A parameter to control the transition curve while preserving its important shape features is introduced. This enables an interactive alteration of the shape of the curve while preserving the required geometric features.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5370024
zbMATH Keywords: \(G^2\)-transition between two circles
zbMATH Keywords: path planning
zbMATH Keywords: computer-aided design
zbMATH Keywords: cubic Bézier curve
MaRDI profile type: Publication
full work available at URL: j.cam.2007.12.024
OpenAlex ID: W1970490112
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DOI: 10.1016/J.CAM.2007.12.024
description: scientific article; zbMATH DE number 5370024