裁剪面的一类参数变换

A Kind of Parametric Transform for Trimmed Surfaces

给出了一类可以保持几何与拓扑信息一致性的裁剪面的参数变换定理及其算法。首先,确定了参数变换对裁剪面表示信息的影响。然后,根据参数变换后几何与拓扑信息的一致性要求,给出了对裁剪面表示信息进行调整的方法。最后,通过建立参数变换的关系,以裁剪球面为例阐述了这类参数变换的具体实现方法。

An approach for a kind of parametric transform is presented for trimmed parametric surfaces.Firstly,the characteristics of trimmed surface before and after parametric transform are evaluated.Then,an algorithm is proposed to adjust the geometric and topological data of a trimmed surface in order to achieve consistency.At last,the trimmed sphere surface is taken as example to further illustrate the algorithm.