A new local control spline with shape parameters for CAD/CAM
type: Item
instance of: scholarly article
title: A new local control spline with shape parameters for CAD/CAM
zbMATH Open document ID: 0830.65005
DOI: 10.1007/BF02939535
author: Kaihuai Qin
author: Jiaguang Sun
published in: Journal of Computer Science and Technology
publication date: 1994-11-17T00:00:00Z
review text: The authors propose an algorithm for the construction of a spline curve which they call BLC-spline (I guess the abbreviation is coming from best local control spline). The spline is defined by a sequence of \(n\) control vertices \(V_1,\dots, V_n\) in \(\mathbb{R}^3\) and is composed of \(n-2\) curve segments of the form: \(P_j(t)= \sum^2_{j= 0} B_j(t) V_{i+ j}\), \(i= 1,\dots, n- 2\), where \(B_j(t)\) is a quartic polynomial. The curve has \(G^2\) continuity. One of the advantages of the BLC-spline is its best local independence among the splines that have \(G^2\) or \(C^2\) continuity.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 687924
zbMATH Keywords: control vertex
zbMATH Keywords: shape parameter
zbMATH Keywords: computer aided design
zbMATH Keywords: algorithm
zbMATH Keywords: best local control spline
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
cites work: Modifying the shape of rational B-splines. I: Curves
cites work: Modifying the shape of rational B-splines. II: Surfaces
description: scientific article; zbMATH DE number 687924