B样条曲面的T样条裁剪法  

T-Splines Trimming Approach for B-spline Surfaces

作　　者：薛翔[1] 周来水[1] 

机构地区：[1]南京航空航天大学,南京210016

出　　处：《中国机械工程》2014年第23期3160-3164,共5页China Mechanical Engineering

摘　　要：针对B样条曲面裁剪法中的裁剪曲面定义与裁剪边界修改问题,提出一种T样条曲面裁剪法,并用于多边矩形域上的曲面裁剪。先将B样条曲面转换为一张全行列T样条曲面,然后再利用T样条曲面的局部均匀细分和控制点移除,得到一张T样条裁剪曲面。裁剪后的T样条曲面建立在一个多边T网格上,具有完整的曲面定义,并且可以局部修改其裁剪边界。最后通过实例验证了T样条裁剪曲面在曲面定义和边界修改上都优于B样条裁剪曲面。To solve the problem of trimmed surface definition and trimming boundary alteration in B-spline surface trimming approach,a new T-Splines trimming approach was proposed and was used for the surface trimming upon multilateral rectangular domain.After converting B-spline surface into a full-row-column T-Splines,a trimmed T-Splines was obtained by applying the local uniform refinement and removing control points of T-Splines.The trimmed T-Splines was built upon a multilateral T-Mesh with a complete surface definition,and the trimming boundary can be locally modified.Finally,the trimmed T-Splines was proved to be superior to the trimmed B-spline surface in surface definition and boundary alteration with a modeling example.

关 键 词：B样条曲面 T样条 曲面转换 局部均匀细分 控制点移除 曲面裁剪 

分 类 号：TH122[机械工程—机械设计及理论]