| CAGD中双三次张量积非均匀B样条曲面G2光滑条件 |
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| 引用本文： | 崔利宏,秦克,张淼,车翔玖. CAGD中双三次张量积非均匀B样条曲面G2光滑条件[J]. 长春工程学院学报(自然科学版), 2002, 3(4): 1-2，10 |
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| 作者姓名： | 崔利宏 秦克 张淼 车翔玖 |
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| 作者单位： | 1. 长春工程学院,基础部,长春,130012
2. 吉林大学,数学研究所,长春,130012 |
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| 基金项目： | 长春工程学院科研基金资助项目 (3 2 0 0 2 0 2 0 ) |
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| 摘 要： | 在文献 [6 ]的基础上 ,进一步研究了在工业产品设计中对光滑性要求较高的曲面光滑拼接问题 ,也就是对B样条曲面的G2 光滑条件进行了讨论 ,给出了双三次张量积非均匀B样条曲面G2 光滑的充要条件和较为实用的一个充分性条件
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| 关 键 词： | 非均匀B样条曲面 非均匀B样条基函数 G2光滑拼接 充要条件 |
| 文章编号： | 1009-8984(2002)04-0001-02 |
| 修稿时间： | 2002-06-28 |
G2 continuity conditions in CAGD between two patches of bi-cubic tensor product non-uniform B-spline surfaces |
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| CUI Li hong. G2 continuity conditions in CAGD between two patches of bi-cubic tensor product non-uniform B-spline surfaces[J]. Journal of Changchun Institute of Technology(Natural Science Edition), 2002, 3(4): 1-2，10 |
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| Authors: | CUI Li hong |
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| Abstract: | Based on reference ,the author gives a further discussion on the issue of smooth conjunction between two surfaces in the design of industrial production and gives a sufficient and necessary condition of G 2 continuity between two patches of bi cubic tensor product non uniform B spline surfaces. In addition, the paper gives a practical sufficient condition of G 2 continuity. |
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| Keywords: | non uniform B spline surface non uniform B spline basis function G 2 continuity sufficient and necessary conditions |
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