| 基于拉格朗日插值的参数曲面隐式化 |
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| 引用本文： | 赵若晨,于建平,孙永利.基于拉格朗日插值的参数曲面隐式化[J].北京化工大学学报(自然科学版),2012,39(3):119-123. |
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| 作者姓名： | 赵若晨 于建平 孙永利 |
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| 作者单位： | 北京化工大学理学院,北京,100029;北京科技大学数理学院数力系,北京,100083 |
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| 基金项目： | 北京化工大学中央高校基本科研业务费项目，北京科技大学中央高校基本科研业务费项目，国家自然科学基金 |
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| 摘 要： | 首先给出了Dixon矩阵的算法,并以此为基础，利用Dixon矩阵以及拉格朗日插值的基本理论，给出了参数曲面隐式化的一种方法。该方法有效克服了用经典结式方法求参数曲面隐式方程的中间膨胀问题。既减少了计算量，又节省了时间和空间，提高了参数曲面隐式化的速度。最后，通过实例，证明了本文算法的准确性和有效性。
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| 关 键 词： | Dixon矩阵 Lagrange插值 参数曲面隐式化 |
| 收稿时间： | 2011-12-29 |
Implicitization of parametric surfaces by means of Lagrange interpolation |
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| ZHAO RuoChen
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YU JianPing
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SUN YongLi.Implicitization of parametric surfaces by means of Lagrange interpolation[J].Journal of Beijing University of Chemical Technology,2012,39(3):119-123. |
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| Authors: | ZHAO RuoChen YU JianPing SUN YongLi |
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| Institution: | 1.School of Science, Beijing University of Chemical Technology, Beijing 100029; 2.Department of Mathematics and Mechanics, School of Applied Science, Beijing University of Science and Technology, Beijing 100083, China |
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| Abstract: | The algorithm of Dixon’s matrix is first derived and then a method of the implicitization of parametric surfaces,which is based on Dixon matrix and Lagrange interpolation,is given.This method not only reduces the computational cost,but also saves the time and space cost.Further,it speeds up the implicitization of the parametric surfaces.Finally,some examples are provided to prove the accuracy and efficiency of the algorithm. |
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| Keywords: | Dixon’s matrix Lagrange interpolation implicitiation of parametric surface |
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