| 具有重结点的B-样条曲面G1的连续条件 |
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| 引用本文： | 赵岩,施锡泉.具有重结点的B-样条曲面G1的连续条件[J].数学研究与评论,2005,25(2). |
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| 作者姓名： | 赵岩 施锡泉 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，国家自然科学基金，教育部高校优秀青年教师资助计划，高等学校博士学科点专项科研项目 |
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| 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.
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| 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 |
G1 Continuous Condition of B-Spline Surfaces with Double Knots |
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| ZHAO Yan,SHI Xi-quan.G1 Continuous Condition of B-Spline Surfaces with Double Knots[J].Journal of Mathematical Research and Exposition,2005,25(2). |
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| Authors: | ZHAO Yan SHI Xi-quan |
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| Abstract: | 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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| Keywords: | B-spline surface patches double knots geometric continuity |
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