| 重型值点阵的样条插值统一求解算法 |
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| 引用本文： | 方美娥,满家巨,汪国昭,全惠云.重型值点阵的样条插值统一求解算法[J].高校应用数学学报(A辑),2006,21(1):95-104. |
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| 作者姓名： | 方美娥 满家巨 汪国昭 全惠云 |
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| 作者单位： | 1. 浙江大学,数学系,计算机图象图形研究所,浙江杭州,310027
2. 湖南师范大学,数学与计算机学院,湖南长沙,410081 |
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| 基金项目： | 国家自然科学基金(10371110) |
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| 摘 要： | 统一求解算法从分析重型值点对控制顶点的影响入手,合理修改插值样条控制顶点方程组的系数矩阵,无需以型值点为界分段求解,而是一次性求出所有控制顶点,比分段求解算法简单,并引入了光顺因子,使曲线曲面在重型值点处的光顺程度可灵活控制,利用该算法还能构造出夹尖点、棱角以及平面片的复杂曲面.
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| 关 键 词： | 复杂曲线曲面插值 分段求解算法 统一求解算法 重型值点 重节点 控制顶点 |
| 文章编号： | 1000-4424（2006）01-0095-10 |
| 收稿时间： | 2005-04-07 |
| 修稿时间： | 2005-04-07 |
Unilingual algorithm of solving control vertexes of multiple knots matrix |
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| FANG Mei-e,MAN Jia-ju,WANG Guo-zhao,QUAN Hui-yun.Unilingual algorithm of solving control vertexes of multiple knots matrix[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1):95-104. |
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| Authors: | FANG Mei-e MAN Jia-ju WANG Guo-zhao QUAN Hui-yun |
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| Institution: | 1. Institution of Computer Graphics and Image Processing and the Department of Mathmatics, Zhejiang University, Hangzhou 310027, China; 2. College of Mathematics and Computer, Hunan Normal University ,Chang sha 410081,China |
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| Abstract: | Unilingual algorithm is based on analyzing how multiple data points affect control vertexes.The coefficient matrix of the system of equations for solving control vertexes is modified,then all the control vertexes can be got through solving only one system of equations.It is more simple than subsection algorithm.It can be applied to construct complicated B-spline surfaces with cusp,arrises or plain patches. |
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| Keywords: | interpolating complicated curve and surface subsection algorithm unilingual algorithm multiple data points multiple knot control vertex |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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