基于面积约束的统计直方图曲线拟合(英文)

STATISTIC HISTOGRAMCURVES FITTING BASED ON AREA CONSTRAINT

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.

We present a new method for constructing piecewise- cubic Hennite interpolation curves to fitting curves. We get the fitting curves by choosing adjustable functional values and derivative values at the interpolation points of the Hermite interpolation curves based on the characteristic of a statistic histogram at first and then determining a adjustable value based on the area constraint. Given fitting curves are constained by area equal with the statistic histogram and are C^1 continuous. The given method is simple and useful.