Optimised biarc curves with tension
type: Item
instance of: scholarly article
title: Optimised biarc curves with tension
zbMATH Open document ID: 0757.65008
DOI: 10.1016/0167-8396(92)90018-K
author: D. B. Parkinson
published in: Computer Aided Geometric Design
publication date: 1992-10-13T00:00:00Z
review text: An improvement of the linearized approximation to the optimized biarc curves to describe a curve [\textit{D. B. Parkinson} and \textit{D. N. Moreton}, Comput. Aided Geom. Des. 23, 411-419 (1991; Zbl 0739.65009)] defined by a finite number of knots is studied. The improvement involves the application of the minimum strain energy biarc for each panel as a separate procedure from the gradient computation. A single tension parameter is included representing tension applied to the whole of the fitted curve. A compensation for the effects of fixed gradients at the initial and final knots is enabled. In the Appendix the biarc for 4 special cases and the biarc energy function are calculated.
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 68940
zbMATH Keywords: curve fitting
zbMATH Keywords: biarc curves
zbMATH Keywords: tension parameter
MaRDI profile type: Publication
cites work: Q5665063
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cites work: Smooth-curve interpolation: A generalized spline-fit procedure
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full work available at URL: 0167-8396(92)90018-k
OpenAlex ID: W2079416738
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description: scientific article; zbMATH DE number 68940