supported by the National Natural Science Foundation of China under Grant Nos.61872316 and 61932018.
Loop and Catmull-Clark are the most famous approximation subdivision schemes,but their limit surfaces do not interpolate the vertices of the given mesh.Progressive-iterative approximation(PIA)is an efficient method fo...
For the problem of constructing smooth functions over arbitrary surfaces from discretedata, we propose to use Loop's subdivision functions as the interpolants. Results on theexistence, uniqueness and error bound of th...
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)
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...
A smooth interpolatory subdivision algorithm for the generation of surfaces over arbi-trary triangulations is introduced and its convergence properties over nonuniform triangulationsstudied. For uniform data, this met...