Deformable surface modeling based on dual subdivision

Free formsurfaces ,especiallynon uniformratio nalB splines (NURBS) ,arewidelyusedincomputeraidedgeometricdesignandcomputer aideddesign/manufacturing .However ,usuallyasurfaceofarbi trarytopologycannotberepresentedbyasingleNURBS .Moreover ,itisverydifficulttosettheknotspacings,manipulatethecontrolverticesormodifytheweightstomeetsomedesignrequestsusingNURBS .Consequently ,subdivisionsurfacesappeartouniformlymodelanycomplexsurfacesofarbitrarytopology1] .However ,interactivemethodsformodi …

Deformable surface modeling based on dual subdivision

Based on dual Doo-Sabin subdivision and the corresponding parameterization, a modeling technique of deformable surfaces is presented in this paper. In the proposed model, all the dynamic parameters are computed in a unified way for both non-defective and defective subdivision matrices, and central differences are used to discretize the Lagrangian dynamics equation instead of backward differences. Moreover, a local scheme is developed to solve the dynamics equation approximately, thus the order of the linear equation is reduced greatly. Therefore, the proposed model is more efficient and faster than the existing dynamic models. It can be used for deformable surface design, interactive surface editing, medical imaging and simulation.