2001 二次B样条曲面顶点及法向插值.pdf

13 5 Vol. 13, No . 5 200 1 5 JOURNA L OF COMPUT ER-AIDED DESIGN COMPU T ER GRAPHICS Ma , 200 1 B 李桂清　李现民　李　华 ( 100080) , / . CA D CAM , - B Doo Sabin , . , , B , . , . B , , - , , B Doo Sabin 391 TP Interpolation of Vertices and Their Normal Vectors with Quadratic B-Spline Surfaces LI Gui-Qing LI Xian-M inLI Hua ( , , , 100080) Laboratory of Intelligent Inf ormation Processing Institute of Computing Technology ChineseA cademy of Sciences Beij ing AbstractInterpolation to vertex positions is an essential issue in surface modeling , and inter- / . polation to normal vectors has also important applications in some CAD CAM areas Properties of bi-quadratic B-spline surface ar e investigated b the subdivision approach, and the contr ol mesh of bi-quadratic B-spline surface is constructed b emplo ing Doo-Sabin subdivision to derive the parametr ic repr esentation of interpolation surface. For enhancing the efficienc of handling mesh w ith larger scale data, w e first partition the mesh into a number of sub-meshes and compute , - their corresponding control nets satisf ing interpolator conditions then the sub nets are inte- grated to form a w hole net such that it