Smoothing an arc spline

被引：18

作者：

Li, Z ^{[1
]}

Meek, DS ^{[1
]}

机构：

[1] Univ Manitoba, Dept Comp Sci, Winnipeg, MB R3T 2N2, Canada

来源：

COMPUTERS & GRAPHICS-UK | 2005年 / 29卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

arc spline; G(2) continuity; smoothing; line and curve generation; computer-aided design (CAD);

D O I：

10.1016/j.cag.2005.05.009

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Are splines are G(1) continuous curves made of circular arcs and straight-line segments. They have the advantages that the curvature of an are spline is known and controlled at all but a finite number of points, and that the offset curve of an are spline is another arc spline. Arc splines are used by computer-controlled machines as a natural curve along which to cut and are used by highway route planners as a natural curve along which to plan the centre line of a road. In this paper, it is shown how to increase the smoothness of a planar arc spline by replacing parts of it and thus to create a G(2) continuous curve. The replacement parts are low-degree NURBS curves: cubic B ezier curves and quadratic rational Bezier curves. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：576 / 587

页数：12

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