论文标题

通过均匀切角台阶镶嵌的抚摸路径的普通小方角,由阶跃角度两倍

Ordinary Facet Angles of a Stroked Path Tessellated by Uniform Tangent Angle Steps Are Bounded by Twice the Step Angle

论文作者

Kilgard, Mark J.

论文摘要

我们从几何上解释了为什么从均匀切角角度划分的触摸路径的普通刻面角度是阶梯角的两倍。这一事实意味着---不包括少数非凡的方面角度跨偏移尖尖---我们的极性抚摸方法将刻面角度的大小限制为小于$2θ$,其中$θ$是切线的角度。

We explain geometrically why ordinary facet angles of a stroked path tessellated from uniform tangent angle steps are bounded by twice the step angle. This fact means---excluding a small number of extraordinary facet angles straddling offset cusps---our polar stroking method bounds the facet angle size to less than $2 θ$ where $θ$ is the tangent step angle.

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