| 广义Ball样条曲线及三角域上曲面的升阶公式和转换算法 |
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| 引用本文： | 刘松涛,刘根洪.广义Ball样条曲线及三角域上曲面的升阶公式和转换算法[J].应用数学学报,1996,19(2):243-253. |
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| 作者姓名： | 刘松涛 刘根洪 |
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| 作者单位： | 复旦大学数学研究所，苏州大学数学系 |
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| 摘 要： | Ｔ．Ｎ．Ｔ．Ｇｏｏｄｍａｎ在［９］和［１０］中给出了广义Ｂａｌｌ样条曲线、曲面的奇次升阶公式和有关性质，但未给出偶次广义Ｂａｌｌ样条形式。
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| 关 键 词： | 广义 三角域 参数曲面 转换算法 Ball样条曲线 |
ARBITRARY DEGREE RAISING PROPERLIES AND CONVERSION ALGORITHM FOR GENEALIZED BALL-SPLINE CURVE AND SURFACE ON A TRIANGLE |
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| LIU SONGTAO.ARBITRARY DEGREE RAISING PROPERLIES AND CONVERSION ALGORITHM FOR GENEALIZED BALL-SPLINE CURVE AND SURFACE ON A TRIANGLE[J].Acta Mathematicae Applicatae Sinica,1996,19(2):243-253. |
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| Authors: | LIU SONGTAO |
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| Abstract: | This paper investigates further degree raising properties of generalzied BallSpline curve and surface on a triangle. Arbitrary degree raising formula is given.Also,conversion algorithm between generalized Ball-Spline basis and Bernstein basis is provided,too. |
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| Keywords: | Generalized Ball-Spline parametric surface on Triangles Degree raising conversion algorithm |
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