In the space Γ_n = span { sint, cost, 1, t, t^2, ···, t^(n-2)}, aC-Bezier basis is constructed by an integral approach. Howev- er, the C-Bezier basis is notorthogonal. For some applications, we construct an orthog...
Supported jointly by the National Natural Science Foundation of China (Grant No. 69973041); Natural Science Foundation of Zhejiang Province (Grant No.698025) ; the Foundation of State Key Basic Research 973 Item (Grant No.G1998030600).
Developable surface plays an important role in engineering practice. And Bezier function surfaces on the rectangular and triangular domains are common representation forms in a computer aided geometric design system. ...
Project supported jointly by the National Natural Science Foundation of China (Grant No. 69973041), Zhejiang Provincial Natural Science Foundation (Grant No. 698025) and the Foundation of State Key Basic Research 973 Item (Grant No.G1998030600).
Through generalization of mathematical model of surface lofting program in the CONSURF system, the definitions for two generalized Ball surfaces and their recursive algorithms are given. Furthermore, the conversion al...
Project supported by the National Natural Science Foundation of China;Post Doctoral Foundation of China
Geometric continuity between free-form surfaces is an important issue in CAGD. The conditions of high order geometric continuity between two Bezier surfaces are presented. The general conditions and practical ones for...
Project supported by the National Natural Science Foundation of China;Post Doctoral Science Foundation of China.
A unified method for modeling smooth closed surfaces with bicubic Bezier patches is pre-sented.The method is capable of dealing with an arbitrary mesh of control points:an arbitrary number ofpatches are allowed to mee...