基于投影法的隐式曲面多边形化

摘要

Polygonization is the main approach to rendering implicit surface, for the most of graphic systems use built-in hardware to display polygons. We first partition a plane into grids, then map the planar meshes onto implicit surface. Three cases are encountered in the polygon-surface relationship, namely: whole projection, part projection and no projection on the implicit surface. Part projection needs special treatment. This method can be applied to rendering implicit trimmed surface.%绘制多边形可借助图形系统的硬件来实现，因此，隐式曲面的多边形化是隐式曲面绘制的主要方法.文中提出了基于投影法的隐式曲面多边形化的方法，先在平面进行网格划分，再把平面上所有多边形面片映射到隐式曲面上.该方法对在隐式曲面上有全部投影、部分投影和没有投影的多边形面片分别进行了讨论.该方法也适用于绘制隐式裁剪曲面.