| 三次均匀有理B样条曲线G2光滑拼接条件 |
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| 引用本文： | 车翔玖.三次均匀有理B样条曲线G2光滑拼接条件[J].辽宁师范大学学报(自然科学版),2002,25(3):225-228. |
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| 作者姓名： | 车翔玖 |
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| 作者单位： | 吉林大学,数学研究所,吉林,长春,130023 |
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| 摘 要： | 在CAGD中 ,常遇到有理B样条曲线、曲面光滑拼接问题 ,但目前却鲜见有关有理B样条曲线、曲面光滑拼接问题的讨论 .研究了两条三次均匀有理B样条曲线G2 光滑拼接的充要条件 ,同时 ,为了满足实际应用的需要 ,给出了两条三次均匀有理B样条曲线G2 光滑拼接的充分条件的一种特殊情形 .
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| 关 键 词： | 均匀B样条基函数 均匀有理B样条 G2光滑 充要条件 |
| 文章编号： | 1000-1735(2002)03-0225-04 |
| 修稿时间： | 2001年10月23 |
G2 Continuity Conditions for Assembling of Two Cubic Uniform Rational B-Spline Curve |
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| CHE Xiang-jiu.G2 Continuity Conditions for Assembling of Two Cubic Uniform Rational B-Spline Curve[J].Journal of Liaoning Normal University(Natural Science Edition),2002,25(3):225-228. |
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| Authors: | CHE Xiang-jiu |
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| Abstract: | The continuity of assembling rational B-spline curves or B-spline surfaces is required to solve in CAGD,but we seldom get the discussion about this problem by now. This paper has discussed the sufficient and necessary conditions of G 2 continuity of assembling two cubic uniform rational B-spline curves.A special kind of sufficient conditions of G 2 continuity is given in the end for applications. |
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| Keywords: | uniform B-spline basis function uniform rational B-spline G 2 continuity sufficient and necessary conditions |
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