【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。更多还原

【Abstract】 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 reconstruction 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.更多还原