| 基于面积约束的统计直方图曲线拟合 |
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| 引用本文： | Amara Camara,韩旭里. 基于面积约束的统计直方图曲线拟合[J]. 经济数学, 2006, 23(2): 201-204 |
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| 作者姓名： | Amara Camara 韩旭里 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙,410083;中南大学数学科学与计算技术学院,长沙,410083 |
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| 摘 要： | 我们提出用分段三次Hermite插值曲线拟合统计直方图的新方法.先根据统计直方图的特点选取Hermite插值曲线在插值点处的导数值和可调整的插值点,然后根据面积约束确定调整值,从而得到拟合曲线.所得拟合曲线与统计直方图有面积相等的约束,并且拟合曲线是C1连续的光滑曲线.所给方法简单、实用.
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| 关 键 词： | Hermite插值 直方图 面积约束 |
| 修稿时间： | 2006-01-11 |
STATISTIC HISTOGRAM CURVES FITTING BASED ON AREA CONSTRAINT |
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| Amara Camara,Han Xuli. STATISTIC HISTOGRAM CURVES FITTING BASED ON AREA CONSTRAINT[J]. Mathematics in Economics, 2006, 23(2): 201-204 |
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| Authors: | Amara Camara Han Xuli |
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| Abstract: | We present a new methodfor constructing piecewise-cubic Hermite interpolation curves tofitting curves.We getthe fitting curves by choosing adjustable functional values and derivative values at the interpolation points of the Hermite in-terpolation curves based onthe characteristic of a statistic histogramat first andthen determining a adjustable value based onthe area constraint.Givenfitting curves are constained by area equal withthe statistic histogramand areC1continuous.Thegiven methodis simple and useful. |
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| Keywords: | Hermite interpolation Histogram area constraint |
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