An automated curve fairing algorithm for cubic \(B\)-spline curves
type: Item
instance of: scholarly article
title: An automated curve fairing algorithm for cubic \(B\)-spline curves
zbMATH Open document ID: 0948.65013
DOI: 10.1016/S0377-0427(98)00209-X
author: Janet F. Poliakoff
author: Y. K. Wong
author: Peter D. Thomas
published in: Journal of Computational and Applied Mathematics
publication date: 2000-11-13T00:00:00Z
review text: CNC machining of curves requires the data representing the curve to be digitised. Such digitisation inevitably leads to errors. The reduction of these errors, the so-called fairing process, is the subject of the present paper. In a recent paper [Comput.-Aided Des. 28, No. 1, 59-66 (1996; Zbl 0844.65005)] the first author has introduced an extension of \textit{J. A. P. Kjellander}'s algorithm for fairing parametric \(B\)-splines [Smoothing of cubic parametric splines. Comput.-Aided Des. 15, No. 3, 175-179 (1983)], which can be applied to a wide range of two- and three-dimensional curves. The present paper describes developments towards a fully automated fairing process based on the new algorithm introduced in the mentioned paper. The key problems are to decide which points need to be faired and how many times to iterate.
reviewed by: Adalbert Csaba Hatvany
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 1331073
zbMATH Keywords: curve fitting
zbMATH Keywords: curve fairing
zbMATH Keywords: cubic splines
zbMATH Keywords: curve fairing indicator
zbMATH Keywords: algorithm
MaRDI profile type: Publication
cites work: Q3997243
cites work: Smoothing of curves and surfaces
cites work: An improved algorithm for automatic fairing of non-uniform parametric cubic splines
cites work: Automatic fairing algorithm for B-spline curves
full work available at URL: s0377-0427(98)00209-x
OpenAlex ID: W2052480822
Recommended article: Automatic fairing algorithm for B-spline curves
Recommended article: An improved algorithm for automatic fairing of non-uniform parametric cubic splines
Recommended article: Q3571806
Recommended article: Target curvature driven fairing algorithm for planar cubic B-spline curves
Recommended article: Fairing cubic B-spline curves
Recommended article: Generalized fairing algorithm of parametric cubic splines
Recommended article: Q5702119
Recommended article: A multi-level filtering approach for fairing planar cubic B-spline curves
Recommended article: Automatic curve fitting with quadratic B-spline functions and its applications to computer-assisted animation
description: scientific article; zbMATH DE number 1331073