Continuity Analysis and Construction of Uniform Stationary Univariate Subdivision Schemes
单变量均匀静态细分格式的连续性分析和构造

With the necessary and sufficient conditions for Ck-continuity of uniform stationary subdivision schemes, the range of free parameter in several classical interpolating curve schemes is presented. For the first time, this paper points out that the arity-2 interpolating 6-point scheme is C3-continuous in certain range. A new C3-continuous arity-3 interpolating 6-point scheme is also proposed.