Deformable surface modeling based on dual subdivision  

作　　者：WANGHuawei SUNHanqiu QINKaihuai 

机构地区：[1]DepartmentofComputerScience＆Technology,TsinghuaUniversity,Beijing100084,China [2]DepartmentofComputerScience＆Engineering,ChineseUniversityofHongKong,HongKong,China

出　　处：《Progress in Natural Science:Materials International》2005年第1期81-88,共8页自然科学进展·国际材料（英文版）

基　　金：theRGCresearchgrantofHongKong (GrantNos.43 5 6/ 0 2Eand 4181/ 0 3E)andtheNationalNaturalScienceFoundationofChi na (GrantNo .60 2 73 0 13 )

摘　　要：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.Based on dual Doo-Sabin subdivision and the corresponding parameterization, amodeling technique of deformable surfaces is presented in this paper. In the proposed model, allthe dynamic parameters are computed in a unified way for both non-defectiveand defective subdivisionmatrices, and central differences are used to discretize the Lagrangian dynamics equation insteadof backward differences. Moreover, a local scheme is developed to solve the dynamics equationapproximately, thus the order of thelinear equation is reduced greatly. Therefore, the proposedmodel is more efficient and faster than the existing dynamic models. It can be used for deformablesurface design, interactive surface editing, medical imaging and simulation.

关 键 词：deformable model subdivision surface DYNAMICS Doo-Sabin surface 

分 类 号：TH164[机械工程—机械制造及自动化] TH122