Approximating quadratic NURBS curves by arc splines
type: Item
instance of: scholarly article
title: Approximating quadratic NURBS curves by arc splines
zbMATH Open document ID: 0776.65014
DOI: 10.1016/0010-4485(93)90032-J
author: D. S. Meek
author: D. J. Walton
published in: CAD. Computer-Aided Design
publication date: 1993-09-06T00:00:00Z
review text: Numerically controlled cutters can cut in both straight lines and circles. Cutting in straight lines results in polygonal curves that are slow to mill and result in ridges of leftover material that are difficult to grind by numerical control. The authors adress the approximation of shapes given by Bézier quadratic splines (i.e., spiral arcs of conics) by \(C^ 1\)-sequences of circular arcs and develop all formulas needed to approximate short spiral arcs of conics by curves composed of two circular arcs and control the degree of approximation. All computations involved belong to elementary analytic geometry.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 51N20
zbMATH DE Number: 218445
zbMATH Keywords: numerically controlled cutters
zbMATH Keywords: numerical control
zbMATH Keywords: Bézier quadratic splines
zbMATH Keywords: spiral arcs of conics
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 218445