| 赵岩,施锡泉.具有重结点的B-样条曲面G1的连续条件(英文)[J].数学研究及应用,2005,25(2):211~226 |
| 具有重结点的B-样条曲面G1的连续条件(英文) |
| G1 Continuous Condition of B-Spline Surfaces with Double Knots |
| 投稿时间：2002-05-28 |
| DOI：10.3770/j.issn:1000-341X.2005.02.004 |
| 中文关键词: B-样条曲面片 几何连续性 边界控制顶点的本征条件 |
| 英文关键词:B-spline surface patches double knots geometric continuity. |
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| 中文摘要: |
| 本文得到了关于两个双三次内部重结点B-样条曲面片G1连续的充分必要条件和在公共边界线上控制向量的本征条件.这些条件直接由两个B-样条曲面的控制向量表示.文[10]证明了使用内部单结点的双三次B-样条曲面来构造G1光滑曲面,局部格式不存在.使用本文的这些条件就可以构造出具有局部各式的G1光滑造型. |
| 英文摘要: |
| The conditions for G1 continuity between two adjacent bicubic B-spline surfaces with double interior knots along their common boundary curve are obtained in this paper, which are directly represented by the control points of the two B-spline surfaces. As stated by Shi Xi-quan and Zhao Yan, a local scheme of constructing G1 continuous B-spline surface models with single interior knots does not exist; we may achieve a local scheme of (true) G1 continuity over an arbitrary B-spline surface network using these conditions. |
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