逆向工程中测量数据曲面重构威廉希尔官方网站 研究

文中首先介绍了自由曲面的描述方式，并提出了一种对点云数据进行NURBS 曲面
重建的改进算法。该算法通过对目标函数的修正及迭代处理，将测点数据的有理B 样条曲线拟合问题转化为一单变量的优化问题。从而容易求得控制点三维坐标、权值、各测点所对应的参数值及最优控制点的数目，进而有效地压缩测量点云数据量。该方法克服了现有方法存在的需要求解多变量的非线性优化问题，不能对最优控制点数目进行求取等缺陷。实践表明，文中提出的方法是行之有效的。
关键词:逆向工程；数据处理；自由曲面重构；非均匀有理B 样条
Abstract：This paper has introduced the description way of the free-form surfaces
at first, and has put forward an improved algorithm of making the element data
reconstruct NURBS surfaces. This algorithm is to change the fitted problem of the
measurement data into an optimizing problem of one variable with modification and
iteration of the objective function. So we can apt to count up 3D of control points,
visual ， a parameter’ number of every measurement points and the number of
optimization of control points ,and compress the number of measurement points
effectively. This algorithm has overcomed the problems existing in the present
method, which like the necessary of solving the optimization question non-linear
of many variables and can’t figure out the number of optimization of control points.
The results of computer simulation and experiment verified the effectiveness of the
method.
Key words：reverse engineering；data processing；reconstruction of free-form
surfaces；NURBS