In this paper, a non-stationary Catmull–Clark subdivision scheme is presented which enables the user to change the shape of the surface obtained from a given initial mesh. Such a non-stationary subdivision scheme is constructed by taking tensor product of a properly modified cubic exponential B-spline scheme in the regular mesh and giving suitable rules in the neighborhoods of extraordinary points. For this new scheme, we show that it can generate tangent plane continuous surfaces. Besides, we propose a generalization, which could locally control the limit surface for the purpose of generating more flexible surfaces and providing some features control. Some examples are given to show the performance of the new schemes.

在本文中，提出了一种非平稳的Catmull-Clark细分方案，该方案使用户可以更改从给定初始网格获得的表面形状。这种非平稳细分方案是通过在规则网格中采用经过适当修改的三次指数B样条方案的张量积并在非凡点附近给出合适的规则来构造的。对于这种新方案，我们表明它可以生成切线平面连续曲面。此外，我们提出了一种概括，可以局部控制极限曲面，以生成更灵活的曲面并提供一些特征控制。给出了一些例子来说明新方案的性能。