曲面造型中多张曲面交点处的过渡技术研究

Reseach on Blending for Vertex of Multi-Surface in Surface Modeling

提出一种多张曲面相交于一点时角点处的过渡技术。该方法采用先截后补的方法对角点处的过渡进行处理 ,避免了传统方法需要考虑角点处异常复杂的几何和拓扑关系 ,从而简化了问题的处理。该方法具有良好的通用性和拓展性 ,可以应用于任何类型和任意张曲面在角点处的过渡 ,为组合曲面的过渡技术提供了新思路。

A blending technology for vertex of multi-surface is presented in the paper. It produces blending for vertex of multi-surface with cutting and mending and the thinking of quite complex geometry and topology relations occurring in conventional blending methods is avoided. Therefore, it simplifies the vertex blending problem. At the same time, this method is very general and extensional and not restricted to the type and number of surfaces. It provides a new way for blending of compound surfaces beyond doubt.