Circular splines
type: Item
instance of: scholarly article
title: Circular splines
zbMATH Open document ID: 0763.65005
DOI: 10.1016/0010-4485(92)90072-I
author: J. Hoschek
published in: CAD. Computer-Aided Design
publication date: 1993-01-18T00:00:00Z
review text: A circular spline is a \(C^ 1\) curve consisting of circular arcs which join at the knots \(P_ 1,\dots,P_ n\). The author considers the problem of interpolating a given point set (open or closed) in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\) by circular splines with knots at the interpolation points. The circular arcs are presented in terms of Bézier curves. He also presents an algorithm for approximation of point sets in \(\mathbb{R}^ 2\) consisting of \(n\) points by circular splines with \(m\) knots, \(m<n\).
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 85967
zbMATH Keywords: rational Bézier splines
zbMATH Keywords: rational \(B\)-splines
zbMATH Keywords: milling
zbMATH Keywords: circular pipe connections
zbMATH Keywords: cams
zbMATH Keywords: circular spline
zbMATH Keywords: interpolation
zbMATH Keywords: Bézier curves
zbMATH Keywords: algorithm
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
full work available at URL: 0010-4485(92)90072-i
OpenAlex ID: W4232227513
description: scientific article; zbMATH DE number 85967