伸缩因子驱动的曲线自由变形设计方法  

Free Form Deformation Design of Curve Driven by Expansion Factor

作　　者：李运平[1] 高直 LI Yun-ping;GAO Zhi(School of Information Engineering,Yancheng Institute of Technology,Yancheng 224051,China)

机构地区：[1]盐城工学院信息工程学院,江苏盐城224051

出　　处：《软件导刊》2020年第7期108-111,共4页Software Guide

基　　金：江苏省自然科学基金项目(BK20160437);江苏省高校自然科学研究面上项目(16KJB430030)。

摘　　要：为简化伸缩变形计算过程,针对代数曲线和参数曲线,提出一种具有区域峰值的伸缩因子曲线变形方法。首先基于Hermite插值基函数构造一种多项式伸缩函数,然后建立带有伸缩参数的伸缩因子,最后将伸缩因子作用于曲线,促使曲线沿指定方向产生变形。在变形过程中,通过改变伸缩因子中的形状控制参数,实现曲线整体、局部以及周期变形效果。大量数值实例证明,该方法计算量小,便于理解和操作,可获得适用于不同设计要求的旋转曲面和外形轮廓线。与其它方法相比,该方法不仅可用于参数型曲线,还可用于隐式表示的代数曲线,丰富了隐式曲线的变形效果。In order to simplify the deformation calculation process,a curve deformation method with regional peak expansion factor is proposed for the algebraic curve and parameter curve.First,a polynomial expansion function is constructed based on the Hermite interpolation basis function.Then the expansion factor with the expansion parameters is established.Finally,the deformation of curve is calculated by the expansion factor.In the deformation process,by changing the different shape control parameters of the expansion factor,the global,local and periodic deformation effects of the curve can be achieved.Examples show that the calculation of the method is small,easy to understand and operate.This method can obtain the rotating curved surface and contour for different design requirements.Compared with other methods,this method can not only be applied to parametric curves,but also implicit representation of algebraic curves.This method enriches the deformation effect of implicit curves.

关 键 词：自由变形 代数曲线 参数曲线 伸缩因子 

分 类 号：TP319[自动化与计算机技术—计算机软件与理论]