曲面的保凸插值细分算法Ⅱ

给出了曲面的保凸插值细分算法和分析。此算法是对以前提出的曲面保凸插值细分算法的改进。对于给定的凸多面体，算法构造一个凸的插值多面体顶点的曲面，其极限曲面是C^1的。此算法对控制点是非线性的。该算法不仅适用于封闭曲面，也适用于开曲面。

Interpolatory Convexity Preserving Subdivition Schemes II for Surfaces

This paper is concerned with the interpolatory convexity presrving subdivision schemes for surfaces. This schemes are modification for the schemes in3]. For given convex polyhedra, we construct a convex surface, which interpolate the vertex of the polyhedra. The convegence analysis is presented. The limite surfaces are C4. The schemes are notlinear in the control points. The schemes can use not only for close surface but also for surface patch.