本文主要研究细分方法及其应用，所做的工作包括四点小波的构造、尖锐特征造型和二次曲面造型。

In this thesis, we will investigate subdivision method and its application, including construction of four-point wavelets, generation of sharp features and quadrics.

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本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。

The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.

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目前的通用方法都是基于二次曲面的特征方程进行拟合，由于特征方程求解复杂，因此这些拟合软件在进行曲面拟合时均存在很多的限制条件。

Nowadays, general fitting methods are based on the character equations of quadratic surface to implement. For it is so complicated that a lot of fitting software exist a lot of restrict conditions.

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