B-SPLINE SURFACE SMOOTH JOINING
B-SPLINE SURFACE SMOOTH JOINING出 版 物:《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造(英文版))
年 卷 期:1997年第7卷第1期
页 面:13-21页
学科分类:12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学]
主 题:optimization method surface joining geometric continuity B-spline surface
摘 要:Optimization techniques are being applied to solve the problems of surface interpolation, approximation, smooth joining and fairing, aiming at corresponding objective functions. This paper focuses on the construction of fair surface interpolating the given mesh of curved boundaries with G 2 adjustment at comers and G 1, G 2 smoothness between adjacent patches. Many papers on surface blending have been presented, but almost all of them are restricted to the discussion of Bezier patches, there are no good results for B-spline surface. This paper gives a solution to the B-spline surface, allowing the surface to degenerate at comer in and have different parameterization along the common boundary of two patches.