一种构造拟合曲面的新方法

A new approach to the building blending surface fitting problem

利用计算代数中理想的Grbner基理论研究CAGD中曲面拟合问题,对代数曲面的0至2阶几何连续拟合做了较为细致的研究,通过实例验证了本文方法的有效性与准确性。

The study of constructing blending surfaces between given surfaces is one of the important problems in geometric modeling. In this paper, a new method using GrObner bases in computer algebra combined with tech- niques in CAGD for constructing algebraic blending surfaces is introduced. In the last section of this paper, two ex- amples are given which prove the effectiveness and accuracy of this method.