刚性关节链模型在保弧长曲线变形中的应用  

Application of Rigid Joint Chain in Arc-Length-Preserving Curve Deformation

作　　者：李玲[1] 苏志勋[1] 刘秀平[1] 

机构地区：[1]大连理工大学应用数学系,大连116024

出　　处：《计算机辅助设计与图形学学报》2005年第5期1002-1007,共6页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金 ( 60 2 75 0 2 9)

摘　　要：采用刚性关节链模型解决了保弧长的曲线变形问题 基于逆向运动学,进一步解决了中间关节点目标约束的问题,避免了单纯的逆向运动学重构关节链的繁复工作 定义一个关节角限制意义上的势函数作为目标函数,用求解约束优化问题的方法把动力学引入到逆向运动学方法中,体现了变形物体的物理属性,因而可以实现较逼真的动画效果 该方法适用于计算机角色动画、布料仿真。Based on the technique of inverse kinematic chain, the problem of mid-point-goal deformation is solved, thus avoiding the repeated reconstruction joint chains. A potential function with joint angle limits as constraint is defined as objective, and dynamics is introduced into inverse kinematic method by solving a constrained optimization problem. It accords with the physical attribute of the object to be deformed,therefore the animation effect is more realistic. The method can be applied in the fields of character animation, cloth simulation and robot task programming.

关 键 词：计算机动画 变形 保弧长 顶点约束 逆向运动学 动力学 约束优化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]