Approximation of circular arcs by Bézier curves
type: Item
instance of: scholarly article
title: Approximation of circular arcs by Bézier curves
zbMATH Open document ID: 0880.65006
DOI: 10.1016/S0377-0427(97)00037-X
author: Young Joon Ahn
author: Hong Oh Kim
published in: Journal of Computational and Applied Mathematics
publication date: 1998-02-02T00:00:00Z
review text: Best approximation of a circular arc by Bézier curves of degree four and five is investigated. Explicit forms of best approximating \(GC^3\) and \(GC^2\) quartic curves of various types are given. The existence of a \(GC^4\) quintic approximant is shown, and the explicit form of a certain best \(GC^3\) quintic approximant is given. In each case, the Hausdorff distance between the circular arc and the approximating Bézier curve is determined, and it is shown that the approximation order is twice the degree of the Bézier curve in all cases.
reviewed by: Guido Walz
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 1043106
zbMATH Keywords: geometric continuity
zbMATH Keywords: best approximation
zbMATH Keywords: circular arc
zbMATH Keywords: Bézier curves
zbMATH Keywords: Hausdorff distance
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1043106