基于插值细分的自由曲面重建

细分曲面的差值算法对于曲面重建的精度起着重要的作用。在当前的细分曲面的研究基础上，提出了一种以三 角形作为初始网格的递归插值计算方法。在边界网格节点上优化插值计算，并针对异常的网格节点选取合适的加权系 数，从而改善了重建细分曲面的插值算法。在一个复杂的自由曲面上进行应用，并将计算结果与其他的曲面细分模式进 行比较和误差分析。

Reconstruction of Freeform Surface Based on Interpolate Subdivision Model

The precision as reconstructing a subdivision surface depends on the subdivision calculation method conducted. Based on the available research achievements of subdivision surface. a subdivision calculation method with recursive interpolation was presented based on initial triangular mesh. which was in general applicable. The weighting coefficients for abnormal vertices were optimized. as well the boundary interpolate calculation method was used. which improved the quality of the surface construction. The subdivision model was applied on a complicate arbitrary surface, and compared its tolerance with that of other popular subdivision models.