G^2连续非均匀B样条闭合曲线迭代拟合算法  

An Iterating Fitting Algorithm of G^2 Continuous and Closed Nonuniform B-Spline Curve

作　　者：吴海东[1,2] 高健[2] 李思[2] 

机构地区：[1]广东轻工职业技术学院汽车系,广东广州510300 [2]广东工业大学机电工程学院,广东广州510006

出　　处：《机械工程与自动化》2015年第6期8-10,共3页Mechanical Engineering & Automation

基　　金：国家自然科学基金资助项目(51175093);广东省重大科技项目(2010A080401003)

摘　　要：基于盈亏修正思路,提出一种二阶连续B样条闭合曲线迭代拟合算法,解决闭合曲面截面线重构问题。该算法在非均匀B样条曲线迭代拟合基础上,加入曲线闭合和二阶连续性等约束,迭代得到曲线控制点以拟合闭合曲线。最后以扭曲叶片截面线轮廓实例验证了算法有效性。Based on the profit-loss modification ,an iterating fitting algorithm of G2 continuous and closed nonuniform B-spline curve is provided to solve the problem of cross section profile reconstruction of closed curves .Combined the constraints of closed curve and G2 continuity ,the control points of the target curve are calculated to fit the cross section profile of closed surface by the iterating method of nonuniform B-spline curves .As a result ,the validity of the algorithm is verified by a reconstructed example of cross sec-tion profile for twisted turbine blade .

关 键 词：二阶几何连续性 闭合B样条曲线 迭代算法 扭曲叶片 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]