一种简单有效的曲线变形方法及在轴变形中的应用  

A Simple and Effective Curve Deformation Method and Its Application to Axial Deformation

作　　者：张湘玉[1] 刘浩[1] 廖文和[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《机械科学与技术》2008年第5期561-565,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国防基础科研项目资助

摘　　要：轴变形技术经常用来模拟具有轴向性物体的运动。针对轴曲线的数学表示,一般采用参数曲线的形式,因此变形控制过程也不可避免依赖于其参数方程表示。本文以轴曲线的变形切入,从曲线的离散表示出发,基于细分技术,给出了一种简单有效的曲线变形方法,基于能量最小建立优化模型,保证了变形曲线的光顺性。将此曲线变形方法用于轴变形技术,还提出了有效快速去除局部自交的算法。上述方法不涉及任何参数方程的计算,完全以离散点集为基础,算法简单,变形直观。实际变形算例验证了变形方法的有效性和可行性。Axial deformation technique is usually used to simulate the motion of objects with axes. In this paper, a simple and effective curve deformation method based on subdivision is presented for discrete curves. With the optimized calculation method, the final deformed curve can satisfy fairness criterion. Considering the application of this method to the axial deformation, we further propose an algorithm for fast deleting local self-intersection loops. The proposed curve deformation method does not depend on any parametric equation. Its deformation algorithm is simple and intuitionistic. Real deformation illustrations demonstrate its effectiveness and feasibility.

关 键 词：曲线变形 细分 轴变形 局部自交 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]