Moreover , this thesis offers the mothod of generate smooth nurbs surfaces over arbitrary quadragulation . this mothod overcomes the defects of adopting so called simple collinear continuous condition to deal with the problem of geometric continuity 并針對任意拓?fù)涞乃倪呅纹史郑o出了構(gòu)造光滑nurbs曲面的方法,克服了采用所謂的簡單共線法處理幾何光滑連接的缺陷。
Another approach of this thesis is to demonstrate that the lowest degree is 5 in order to make the b - spline patches hold the property of local adjustment if no specific 111 abstract restriction to the partition . most existed surfaces reconstruction methods adopt bezier tool and demand particular partition . the local scheme addressed in this thesis does n ' t restrict the partitions of fitted surfaces , and the fitting tools is biquartic b - spline surfaces with double interior knots and biquintic b - spline surface with single interior knots 本文論述的“局部格式”調(diào)整方法不對剖分區(qū)域施加任何限制,主要采用內(nèi)部具有二重節(jié)點的雙四次b樣條曲面和單節(jié)點的雙五次b樣條曲面做為擬合工具,給出了“局部”調(diào)整的方法,該方法能很好的保持拼接曲面的幾何特征,克服了許多已有的重構(gòu)方法僅采用簡單共線法處理幾何光滑性的弊端。