几何约束条件下的变形B样条曲线光顺拟合  

Fair Fitting of B-spline Curve with Geometry Constraint Condition

作　　者：成思源[1] 赵璐芳[1] 张湘伟[1] 骆少明[1] 李志新[2] 

机构地区：[1]广东工业大学机电工程学院,广东广州510090 [2]重庆大学资产处,重庆400044

出　　处：《机床与液压》2006年第10期17-19,共3页Machine Tool & Hydraulics

基　　金：广东省自然科学基金资助项目(04105386)

摘　　要：在工业设计和反求工程中,建立B样条曲线在几何约束条件下光顺拟合的数学方程及数值解法,具有重要的意义。采用基于变形B样条曲线的光顺拟合的方法,建立有限元方程。对于特定的线性几何约束条件,通过对约束条件下的初始自由度进行转换,将有限元方程转换为少自由度的无约束方程进行求解。通过应用实例验证了该方法的有效性。In industry design and reverse engineering, establishing the mathematic equation and numerical solution for B - spline fair fitting with geometry constraints, is of great importance. Based on deformable B - spline curve, the finite element solution was given. For certain geometry constraints, by transforming the constrained degrees of freedom, the reduced unconstrained degrees of freedom finite element solution was obtained. Examples were presented to show the efficiency of this method.

关 键 词：变形曲线 几何约束 光顺拟合 B样条 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]