中国机械工程
中國機械工程
중국궤계공정
CHINA MECHANICAl ENGINEERING
2014年
23期
3160-3163,3164
,共5页
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
B樣條麯麵%T樣條%麯麵轉換%跼部均勻細分%控製點移除%麯麵裁剪
B양조곡면%T양조%곡면전환%국부균균세분%공제점이제%곡면재전
B-spline surface%T-Splines%surface conversion%local uniform refinement%control point removement%surface trimming
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。
針對 B 樣條麯麵裁剪法中的裁剪麯麵定義與裁剪邊界脩改問題，提齣一種 T 樣條麯麵裁剪法，併用于多邊矩形域上的麯麵裁剪。先將 B 樣條麯麵轉換為一張全行列 T 樣條麯麵，然後再利用 T樣條麯麵的跼部均勻細分和控製點移除，得到一張 T 樣條裁剪麯麵。裁剪後的 T 樣條麯麵建立在一箇多邊 T 網格上，具有完整的麯麵定義，併且可以跼部脩改其裁剪邊界。最後通過實例驗證瞭 T 樣條裁剪麯麵在麯麵定義和邊界脩改上都優于 B 樣條裁剪麯麵。
침대 B 양조곡면재전법중적재전곡면정의여재전변계수개문제，제출일충 T 양조곡면재전법，병용우다변구형역상적곡면재전。선장 B 양조곡면전환위일장전행렬 T 양조곡면，연후재이용 T양조곡면적국부균균세분화공제점이제，득도일장 T 양조재전곡면。재전후적 T 양조곡면건립재일개다변 T 망격상，구유완정적곡면정의，병차가이국부수개기재전변계。최후통과실례험증료 T 양조재전곡면재곡면정의화변계수개상도우우 B 양조재전곡면。
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 refine-ment 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.Final-ly,the trimmed T-Splines was proved to be superior to the trimmed B-spline surface in surface defini-tion and boundary alteration with a modeling example.
