利用有限样点重建原木外形的研究

THE STUDY OF RECONSTRUCTING LOG FIGURE USING THE LIMITED NUMBER OF SAMPLE POINTS

讨论了利用有限样点数据重建原木外形的方法，给出了三次样条函数及抛物线方程的参数向量表达式，并分析了用这两条曲线分别拟合原木长向曲线及断面形状曲线的拟合误差。结果表明，采用抛物线调配曲线拟合原木断面曲线在采样点为１２时是比较合适的，拟合的最大误差为３６４％，平均误差为０９３％；采用样条参数曲线拟合长向曲线在采样点为５、６点时误差水平较低，最大误差不超过５％，平均误差不超过１％。

This paper discussed a method on reconstructing the log figure using the limited number of sampling points, showed the cubic spline function and parabola equation in the form of parametric vector equation, analysed the fitting error between original longitude curve、 sectional curve and fitted longitude curve、sectional curve by using cubic spline function and parabola equation respectively. The results indicated that it was suitable for parabola blending curve to fit the log sectional curve when the number of sampling points was 12, the maximum fitting error was 3.64%, the mean error was 0.93%; for cubic parametric spline curve to fit longitude curve while the sampling points were 5 or 6, the maximum fitting error was less than 5%, the mean fitting error was no more than 1%.