G~n filling orbicular N-sided holes using periodic B-spline surfaces

作     者：PAUL Jean-Claude 

作者机构：School of SoftwareTsinghua University Key Laboratory for Information System SecurityMinistry of Education of China Tsinghua National Laboratory for Information Science and Technology Institute National de Recherche en Informatique et en Automatique 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2011年第54卷第7期

页      面：1383-1394页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 13[艺术学] 08[工学] 080203[工学-机械设计及理论] 081304[工学-建筑技术科学] 0802[工学-机械工程] 0813[工学-建筑学] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Basic Research Program of China (Grant No.2010CB328001) the National Natural Science Foundation of China (Grant Nos.60625202,90715043) the National High-Tech Research & Development Program of China (Grant No.2007AA040401) supported by the Fok Ying-Tong Education Foundation,China (Grant No.111070) supported by the joint ANR-NSFC Project (Grant No.60911130368) 

主　　题：CAD periodic B-spline surface polar coordinates N -sided hole filling G n continuity 

摘      要：The orbicular N -sided hole filling problem is usually introduced by filleting an end-point of a part with large *** existing methods based on quadrilateral partition or constrained-optimization can rarely generate high-order continuous blending surfaces under these *** paper first reparameterizes the boundary of the specified orbicular N -sided hole to ensure the compatibility of neighboring cross-boundary derivatives on the connecting points,preserving their G n *** we compute the control points of the periodic B-spline surface using the sufficient G n continuity condition on the pole and the algorithm of extending parametric *** method generates single blending surface,which can be converted into standard Bspline surface by adding knots without introducing *** only elevates the degree of the boundary by *** construction method is simple and efficient,without iteration nor large-scale matrix *** achieves G n continuity under compatible *** blending examples underline its feasibility and practicability.