摘要
逆向工程中,由3D散乱数据点反求B样条线,常用的方法是用最小二乘法通过B样条曲线逼近来拟合出B样条线,因而存在拟合误差,更无法提前预知需要多少控制顶点才能达到所要求的逼近精度。我们从B样条曲线的数学定义出发,对B样条线的重构进行了研究,通过反求B样条多边形控制顶点的方法,来反求得到插值B样条线,并以三次均匀B样条线的反求为例,通过编程加以实现验证。
The least squares optimization method have be widely applied to fit B-spline curves based on scattered points in reverse engineering,fitting errors will be produced by this method,and the number of control points which determine the fitting precision will be unknown in advance. B-spline re construction was discussed through the B-spline definition in mathematics ,then interpolating B-spline curves were reconstructed by the method of calculating control points ,finally an example of uniform cubic B-spline reconstruction was given out to verify the effectivity of this algorithm.
出处
《机械设计与制造》
北大核心
2009年第9期221-223,共3页
Machinery Design & Manufacture
基金
河海大学常州校区创新基金资助项目
常州市数字化制造技术重点实验室开放基金资助项目
关键词
逆向工程
散乱数据点
B样条线反求
三次均匀B样条线反求
Reverse engineering
Scattered points
B-spline curve reconstruction
Reconstruction of uniform cubic B-spline
