| (3,3,1,1)层次B样条与分级T网格上多项式样条的相互转换 |
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| 引用本文： | 金良兵,邓建松.(3,3,1,1)层次B样条与分级T网格上多项式样条的相互转换[J].高等学校计算数学学报,2009,31(4). |
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| 作者姓名： | 金良兵 邓建松 |
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| 作者单位： | 1. 中国科学技术大学数学系,合肥230026;浙江师范大学数理与信息工程学院,金华321004
2. 中国科学技术大学数学系,合肥,230026 |
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| 基金项目： | 国家自然科学基金项目资助;基金号:10601070 |
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| 摘 要： | 1引言 B样条在计算机图形学和几何建模等领域有着广泛的应用3,8].在应用过程中,通常都需要对得到的模型进行修改以到达更好的效果.对于B样条曲线,利用节点插入算法可以有效地进行局部修改.
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| 关 键 词： | 多项式样条 控制顶点 矩形网格 相互转换 层次 张量积 样条曲面 样条基函数 样条曲线 分级 |
CONVERSION BETWEEN(3,3,1,1) HIERARCHICAL B-SPLINES AND POLYNOMIALS SPLINES OVER HIERARCHICAL T-MESHES |
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| Jin Liangbing,Deng Jiansong.CONVERSION BETWEEN(3,3,1,1) HIERARCHICAL B-SPLINES AND POLYNOMIALS SPLINES OVER HIERARCHICAL T-MESHES[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(4). |
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| Authors: | Jin Liangbing Deng Jiansong |
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| Institution: | Jin Liangbing (Department of Mathematics,University of Science and Technology of China,Hefei 230026/ College of Mathematics Physics and Information Engineering,Zhejiang Normal University,Jinhua 321004) Deng Jiansong (Department of Mathematics,Hefei 230026) |
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| Abstract: | In this paper,we develop C~1 -continuous bicubic(denoted as(3,3,1,1)) hierarchical B-splines from the general hierarchical B-splines,and describe the corresponding overlay and local refinement.And then present an automatic algorithm to transform between hierarchical B-splines and polynomial splines over hierarchical T-meshes.A surface expressed in terms of hierarchical B-splines can be exactly converted into a polynomial splines over hierarchical T-meshes,and vice versa. |
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| Keywords: | hierarchical B-splines hierarchical T-meshes spline spaces over T-meshes |
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