Computing curves invariant under halving
Computer Aided Geometric Design - Special issue: Topics in CAGD
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Convergence, error estimation and some properties of four-point interpolation subdivision scheme
Computer Aided Geometric Design
Guest Editor's Introduction: Computer Graphics in Textiles and Apparel Modeling
IEEE Computer Graphics and Applications
A Novel Non-Stationary Subdivision Scheme for Geometric Modeling
CIT '04 Proceedings of the The Fourth International Conference on Computer and Information Technology
Subdivision schemes and attractors
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
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Subdivision is a convenient tool to construct objective curves and surfaces directly from given scattered points. Stationary p-subdivision schemes are highly efficient in the acquisitions of curve/surface points in shape modeling. The features of supported set of nonnegative mask of uniform convergent stationary subdivision schemes are important to their theoretic researches and applications. According to the properties of supported set of the nonnegative mask, a sufficient condition for uniform convergence of stationary p-subdivision scheme is presented. This condition is proved with two propositions and spline function. The contribution of this work is that the convergence of a stationary p-subdivision scheme can be judged directly. This direct judge is in favor of applications of this scheme.