基于悬链线的曲线保长度伸缩变形算法  

A LENGTH-PRESERVING EXTENSION DEFORMATION ALGORITHM OF CURVE BASED ON CATENARY

作　　者：李运平[1] 王翠香[1] Li Yunping;Wang Cuixiang(School of Information Engineering,Yancheng Institute of Technology,Yancheng 224051,Jiangsu,China)

机构地区：[1]盐城工学院信息工程学院,江苏盐城224051

出　　处：《计算机应用与软件》2023年第12期272-276,共5页Computer Applications and Software

基　　金：江苏省自然科学基金项目(BK20160437)。

摘　　要：将悬链线理论运用于曲线的伸缩变形,提出一种保长度伸缩变形算法。创建曲线变形区间内的曲线段的局部坐标系,建立局部坐标系下的曲线段悬链线形状控制方程;通过调整方程中的形状参数计算曲线段变形;通过坐标变换和几何变换计算整条曲线的变形结果。数值实例验证了该方法的有效性和可控性。In order to apply the catenary theory to the curve extension deforming process,a length-preserving deformation algorithm is proposed.The local coordinate system of the curve segment was created,and the shape control equation of the curve segment under the local coordinate system was established.The curve segment was calculated by adjusting the shape parameters.The deformation result of the whole curve was calculated by coordinate and geometric transformations.The numerical examples verified the validity and controllability of the method.

关 键 词：保长度 伸缩变形 悬链线 自由变形 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]