| 曲线拟合的两个几何方法 |
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| 引用本文： | 于洪君. 曲线拟合的两个几何方法[J]. 科学技术与工程, 2012, 12(16): 4018-4022 |
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| 作者姓名： | 于洪君 |
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| 作者单位： | 哈尔滨工业大学控制科学与工程系,哈尔滨,150001 |
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| 摘 要： | 针对信号源未知或对象特性不连续的情况,将分别从倾斜角和面积的角度提出两种不依赖对象的曲线拟合的几何方法,并分别分析了两种情况下插入点与原数据点间倾斜角和二阶导数的关系,推导了插值算法计算式和简化式,之后验证二位曲线的拟合精度并展示了三位曲面的拟合效果。
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| 关 键 词： | 曲线拟合 倾斜角 面积 插值算法 |
| 收稿时间： | 2012-03-13 |
| 修稿时间： | 2012-03-20 |
Two Geometric Methods of Curve-Fitting |
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| Yu Hong-Jun. Two Geometric Methods of Curve-Fitting[J]. Science Technology and Engineering, 2012, 12(16): 4018-4022 |
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| Authors: | Yu Hong-Jun |
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| Affiliation: | YU Hong-jun(Department of Control Science and Engineering,Harbin Institute of Technology,Harbin 150001,P.R.China) |
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| Abstract: | To deal with those signals from unknown sources or with un-continuity, two methods of cure-fitting are brought up from the perspectives of slope angle and area respectively. Relations considering slope angle and derivative are analyzed and interpolation algorithms are given. At last, the methods are testified by given data and plane-fitting effects are shown. |
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| Keywords: | Cure-fitting Slope angle Area Interpolation algorithms |
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