The use of Cornu spirals in drawing planar curves of controlled curvature
The use of Cornu spirals in drawing planar curves of controlled curvature
复制标题
使用 Cornu 螺旋线绘制受控曲率的平面曲线
DOI：
10.1016/0377-0427(89)90076-9
复制
发表时间：
1989
影响因子：
2.4
通讯作者：
D. Walton
中科院分区：
文献类型：
--
作者：
D. Meek;D. Walton
在公路设计中已经使用角形螺旋或仿形线很多年了。在过去，螺旋是由绘图员手工找到的。本文的目的是证明用微型计算机找到这些螺旋是可行的。设计曲线将由圆弧和Cornu螺旋段组成，以这样一种方式连接，曲率是连续的，并在圆弧上取最大值。因此，所使用的圆的半径将限制和控制整个设计曲线的曲率。
Cornu spirals or clothoids have been used in highway design for many years. In the past the spirals have been found manually by draftsmen. The purpose of this paper is to show that it is practical to find these spirals with a micro-computer. The design curve will be made up of arcs of circles and segments of Cornu spirals joined in such a way that the curvature is continuous throughout, and takes its largest values on the arcs of circles. Thus, the radii of the circles used will limit, and control the curvature of the whole design curve.