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AutoCAD环境下缓和曲线绘制方法的研究
引用本文:李全信. AutoCAD环境下缓和曲线绘制方法的研究[J]. 勘察科学技术, 2006, 0(5): 27-31
作者姓名:李全信
作者单位:郑州市规划勘测设计研究院,郑州市,450052
摘    要:
针对缓和曲线是曲率渐变的高次光滑曲线,提出了用三次spline曲线来拟合缓和曲线的思路。在推出了拟合缓和曲线所需弧段数n计算公式后,给出了在AutoCAD上具体绘制缓和曲线的方法,并通过算例验证了该方法的有效性。缓和曲线在AutoCAD上的精确表示,为处理线路曲线及其平行线问题开辟了新途径,具有重要的实践意义。

关 键 词:缓和曲线  数学模型  Spline曲线  绘制  拟合
修稿时间:2005-11-10

Study of the Displaying Method of Easement Curve in AutoCAD Environment
Li Quanxin. Study of the Displaying Method of Easement Curve in AutoCAD Environment[J]. Site Investigation Science and Technology, 2006, 0(5): 27-31
Authors:Li Quanxin
Affiliation:Zhengzhou Urban Planning Design and Survey Research Institute
Abstract:
Considering the fact that easement curve is smooth one with high order terms and gentle shifting curvature,this paper presents the new thought for fitting easement curve by cubic spline curve in AutoCAD.In condition of having calculating formula of the n,the number of arc section for fitting easement curve,it introduces the displaying method of easement curve in AutoCAD.An example is given to illustrate feasibility and validity of this method.The displaying of easement curve in AutoCAD opens up a new way for solving the problems concerning highway or its parallel curve.
Keywords:easement curve  mathematical model  spline curve  displaying  fitting
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