On the Difference Method for Drawing Conic Arcs

Wang W.P., Joe B., Wang C.Y.
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Abstract

The difference method is an efficient way to generate an inscribed polygon of a conic section. We address the implementation issues of the difference method, that is, how to choose the difference parameter and initial points so that the inscribed polygon has a minimal number of line segments and is within a given tolerance of the conic arc. We also discuss how the difference method can be used to draw conic arcs represented by rational quadratic Bézier curves.

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关于绘制圆锥弧的差分法
差分法是生成圆锥截面内切多边形的一种有效方法。我们解决了差分法的实现问题,即如何选择差分参数和初始点,使内切多边形具有最小数量的线段,并在给定的圆锥弧公差范围内。我们还讨论了如何用差分法来绘制由有理二次曲线表示的二次曲线。
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