| B样条曲面的T样条裁剪法 |
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| 引用本文： | 薛翔,周来水. B样条曲面的T样条裁剪法[J]. 中国机械工程, 2014, 25(23): 3160-3164 |
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| 作者姓名： | 薛翔 周来水 |
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| 作者单位： | 南京航空航天大学，南京，210016 |
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| 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。
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| 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 |
T-Splines Trimming Approach for B-spline Surfaces |
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| Xue Xiang,Zhou Laishui. T-Splines Trimming Approach for B-spline Surfaces[J]. China Mechanical Engineering, 2014, 25(23): 3160-3164 |
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| Authors: | Xue Xiang Zhou Laishui |
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| Affiliation: | Nanjing University of Aeronautics and Astronautics,Nanjing,210016 |
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| Abstract: | 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. |
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| Keywords: | B-spline surface T-Splines surface conversion local uniform refinement control point removement surface trimming |
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