Calculating Control Points of NURBS

Reverse engineering(RE)is a key technology of advanced manufacturing.As one of important technical ways to design and manufacture complex industrial products,reverse engineering is taken into a account widely in the field of CAD/CAM.Especially,free-form surface reconstruction is a challenging task and will catch more attention in future work.Surface reconstruction is the most important technology in RE.There are two prevailing surface reconstruction methods.They are NURBS surface reconstruction method and triangle surface reconstruction method.This thesis makes some research work on NURBS surface reconstruction.Our paper proposed a simple method which can calculate the control points in NURBS curves and surfaces.This arithmetic applies to quasi-uniform B-spline and non-uniform B-spline.The arithmetic uses non-node boundary conditions and does not need interaction,which can simplify the operation process.