| 一种基于Hermite插值的离散点构造曲面的新算法 |
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| 引用本文： | 沈兵,吴联银,高军,王卫军,王小椿.一种基于Hermite插值的离散点构造曲面的新算法[J].计算机辅助设计与图形学学报,1999,11(2):112-114. |
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| 作者姓名： | 沈兵 吴联银 高军 王卫军 王小椿 |
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| 作者单位： | 西安交通大学CAGD/CAM中心,西安,710049 |
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| 摘 要： | 提出了一种通过矩形作用域划分、迭加来构造曲面的新思想。在此基础之上，对实际测量的三维离散点进行了特殊的Ｈｅｒｍｉｔｅ插值构造曲面，并通过重叠的矩形作用域的迭加以形成一张新曲面。文中证明了这种方法的完备性，并严格证明了所构造曲面对实际测量点的依赖性，而不会因为迭加出现奇异点。
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| 关 键 词： | 曲面构造 Hermite插值 迭加 |
A NEW METHOD OF SCULPTURED SURFACE STRUCTURED WITH SCATTERED DATA BASED ON HERMITE ALGORITHM |
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| SHEN Bing,WU Lian-Yin,GAO Jun,WANG Wei-Jun,WANG Xiao-Chun.A NEW METHOD OF SCULPTURED SURFACE STRUCTURED WITH SCATTERED DATA BASED ON HERMITE ALGORITHM[J].Journal of Computer-Aided Design & Computer Graphics,1999,11(2):112-114. |
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| Authors: | SHEN Bing WU Lian-Yin GAO Jun WANG Wei-Jun WANG Xiao-Chun |
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| Abstract: | A new method for reconstruction of a sculptured surface from division and accumulation of a rectangle is proposed.This method consists of accumulations of several overlapped rectangles,followed by a piecewise bicubic Hermite interpolation to three dimensional scattered data.The completion of this method and the geometric property of the new structured surface which is dependent on data points are certified. |
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| Keywords: | sculptured surface construction Hermite interpolation accumulation |
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