An improved ternary subdivision interpolation scheme was developed for computer graphics ap- plications that can manipulate open control polygons unlike the previous ternary scheme, with the resulting curve proved t...An improved ternary subdivision interpolation scheme was developed for computer graphics ap- plications that can manipulate open control polygons unlike the previous ternary scheme, with the resulting curve proved to be still C2-continuous. Parameterizations of the limit curve near the two endpoints are given with expressions for the boundary derivatives. The split joint problem is handled with the interpolating ter- nary subdivision scheme. The improved scheme can be used for modeling interpolation curves in computer aided geometric design systems, and provides a method for joining two limit curves of interpolating ternary subdivisions.展开更多
基金Supported by the National Natural Science Foundation of China(No. 60273013)the Specialized Research Fund for the DoctoralProgram of Higher Education of China (No. 20010003048)andResearch Grants Council of Hong Kong (RGC) (No. CUHK4189/01E)
文摘An improved ternary subdivision interpolation scheme was developed for computer graphics ap- plications that can manipulate open control polygons unlike the previous ternary scheme, with the resulting curve proved to be still C2-continuous. Parameterizations of the limit curve near the two endpoints are given with expressions for the boundary derivatives. The split joint problem is handled with the interpolating ter- nary subdivision scheme. The improved scheme can be used for modeling interpolation curves in computer aided geometric design systems, and provides a method for joining two limit curves of interpolating ternary subdivisions.