基于散乱数据截面线的曲面重构算法研究

提出了一个新的散乱数据的曲面重建算法，该算法采用一组平行平面去剖切点云，除恰好位于该截面上的数据点之外，如果一数据点与某一截面的距离小于给定的距离域值，则将其投影到该截面上，把上述点通称为用距离域值来确定截取点：将每一张截面上的截取点用最小二乘法拟合成B样条曲线，然后对生成的一组B样条曲线进行处理，即统一节点矢量、重新参数化和起点相对应，重新拟合一组闭合B样条曲线，再对其运用蒙面操作，从而构造一张曲面。

A Surface Reconstruction Algorithm Based on Planar Contours of Discrete Data

The paper gives a new algorithm for surface reconstruction from the discrete data. The arithmetic adopts a set of parallel planes to intersect the points cloud. In addition to the points exactly on the planes, those points will be projected onto the above planes if their distances to one of the planes are less than the given distance threshold, that are generally called contour points. The least-squares method is used to fit those contour points to a set of B-splines respectively. After these B-splines are so treated as unification of node vectors, re-parameterization and correspondence of start points, a set of close B-splines would be created by re-fitting.