| 生成光滑曲线的一种快速算法 |
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| 引用本文： | 刘小燕. 生成光滑曲线的一种快速算法[J]. 陕西理工学院学报(自然科学版), 1998, 0(2) |
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| 作者姓名： | 刘小燕 |
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| 作者单位： | 西安邮电学院基础部制图教研室 |
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| 摘 要： | 基于Ｂ－样条尺度函数，构造出一个两阶光滑紧支撑插值函数，从而给出一种简单且易实现的生成复杂曲线的快速算法。
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| 关 键 词： | B－样条尺度函数，插值函数，快速算法 |
A Fast Algorithm for Generating Smooth Curves |
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| Liu Xiaoyan. A Fast Algorithm for Generating Smooth Curves[J]. Journal of Shananxi University of Technology(Natural Science Edition), 1998, 0(2) |
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| Authors: | Liu Xiaoyan |
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| Abstract: | Based on the B-spline compactly supported scaling function,this paper constructs a 2-regular smooth interpolating function with compact support, show that it satisfies the Strang-Fix condition and Riese condition,Therefore, it has a good approximation performance. Finally, the paper gives a simple and fast algorithm for generating the relatively complex curves without any truncated errors except the finite digital length errors. |
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| Keywords: | B-spline scaling function Compact support interpolating function fast algorithm |
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