关键词: 非均匀, 细分曲面, 非均匀有理B样条

Abstract: In this paper, a new recursive nonuniform subdivision approach for modeling freeform curves and surfaces was presented. Based on the knot insertion technique, the non-uniform subdivision rules were provided for modeling arbitrary-degree curves and surfaces of arbitrary topology with nonuniform knot intervals. In particular, this approach generalized the traditional uniform subdivisions, such as DooSabin and Catmull-Clark subdivision.

Key words: non-uniform, Subdivision Surface, Non Uniform Rational B-Spline (NURBS)