科研之友
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摘要
We consider a C-1 cubic spline space defined over a triangulation with Powell-Sabin refinement. The space has some local C-2 super-smoothness and can be seen as a close extension of the classical cubic Clough-Tocher spline space. In addition, we construct a suitable normalized B-spline representation for this spline space. The basis functions have a local support, they are nonnegative, and they form a partition of unity. We also show how to compute the Bezier control net of such a spline in a stable way.
- 出版日期2015-8
