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Function plotting using conic splines

机译:使用圆锥样条进行函数绘图

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摘要

A method is presented whereby, given a mathematical description of a function, a conic spline approximating the plot of the function is produced. Conic arcs were selected as the primitive curves because there are simple incremental plotting algorithms for conics already included in some device drivers, and there are simple algorithms for local approximations by conics. A split-and-merge algorithm for choosing the knots adaptively, according to shape analysis of the original function based on its first-order derivatives, is introduced.
机译:提出了一种方法,在给定函数的数学描述的情况下,生成了近似函数图的圆锥样条。选择圆锥曲线作为原始曲线是因为某些设备驱动程序中已经包含了针对圆锥曲线的简单增量绘制算法,并且对于圆锥曲线的局部逼近有简单的算法。提出了一种基于原始函数一阶导数的形状分析自适应地选择结点的拆分合并算法。

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