超限插值在一类艺术曲面造型中的应用

A Class of Aesthetic Surface Modeling Based on Transfinite Interpolation

本文集中讨论了超限插值及其特殊情况,特别地,对于插值交叉线、插值边界曲线及其导矢的情形给出了大量的艺术曲面造型,其计算效率远远高于基于偏微分方程(PDE)的曲面造型方法。因此,用超限插值方法构造艺术曲面造型不失为一种高效的方法。

In this paper, transfinite interpolation and its specialties are discussed and a large number of aesthetic surfaces modeled with interpolating cross curves and interpolating boundary curves and their derivatives. The method is more efficient than PDE in computation.