多边形面积的全角度平分
All-angles bisection of polygon area
首次发表
浏览论文内容
中文总结 AI 辅助
研究如何找到给定方向上平分简单多边形面积的直线方程及以最少计算改变方向，针对‘平分凸’多边形给出解决方案。
中文摘要 AI 辅助
给定一个简单多边形，我们旨在找到在给定方向上平分多边形面积的直线方程。此外，我们希望以最少的额外计算来改变这个方向。我们在多边形是‘平分凸’的情况下提供了一个解决方案，即任何平分多边形面积的直线在多边形边界上恰好包含两个点。
英文摘要
Given a simple polygon we aim to find the equation of the straight line which bisects the area of the polygon in a given direction. Additionally, we would like to vary this direction with minimal additional calculation. We provide a solution in the case where the polygon is `bisection-convex', meaning that any straight line bisecting the area of the polygon contains exactly two points on the boundary of the polygon.
