多边形的分类及判别方法

The Classification and Distinguishing Method for Polygons

基于多边形边方向的唯一性,提出了一种允许边重叠、交叉的平面多边形的分类方法,即平面任意多边形分为单纯多边形和奇异多边形两种,拓展了平面多边形的研究领域.在此基础上通过引入多边形点的矢性数的概念,给出了一种单纯多边形的判断方法,为实现笔画字体的轮廓化提供了新的解决途径.

Based on only one orientation of a polygon, this paper proposes a classification for planar polygons which allows the edge overlapping and crossing. This polygonal classification which divides an arbitrary planar polygons into plain and odd ones expands research field in planar polygons. By introducing vector numbers concept, this paper presents a new distinguishing method for the polygonal classification which proposes a new solving way to decide on the stroke character font contour outline.