| 一种矢径最短的抛物线加权平均光滑插值法 |
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| 引用本文： | 张世强.一种矢径最短的抛物线加权平均光滑插值法[J].测绘科学,1997(3). |
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| 作者姓名： | 张世强 |
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| 作者单位： | 中国测绘科学研究院 |
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| 摘 要： | 本文提出了一种抛物线加权平均曲线光滑插值算法。它满足了一个特殊的要求，即曲线通过全部节点且到弦的垂直距离最短。同时，将张力系数引入该方法中，并给出了包含张力系数的光滑方程。
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| 关 键 词： | 曲线光滑 加权平均插值 几何变换 张力系数 |
An Algorithm for Spline Interpolation Curve with the Shortest Perpendicular Distance |
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| Zhang Shiqiang.An Algorithm for Spline Interpolation Curve with the Shortest Perpendicular Distance[J].Science of Surveying and Mapping,1997(3). |
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| Authors: | Zhang Shiqiang |
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| Institution: | Zhang Shiqiang |
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| Abstract: | When we use Douglas-Peuker algorithm to line data compression, We select critical points using a Perpendicular distance tolerance． Existing interpolation techniques often fail to restore thd critilcal points．In this paper, a new algorithm for spline interpolation curve by werghted average has been put forwad. This method not only keep the curve through the critical points but also with the shortest perpendicular distance, thus restore the critical points. Then tenso-friction is proposed to this methd,and It's equationesare given out． |
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| Keywords: | Spline interpolation by weighted average geometric transformation tensofriction |
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