CAJ | 학술논문

中值坐标是定义在任意平面多边形上最常用的重心坐标。揭示了增减平面多边形的顶点时，多边形所在平面内点的中值坐标的变化情况，即当多边形减少或增加一个顶点时，则除去所增减的点以及它的两个相邻点外，其余各点对应的规范化中值坐标变为原来的常数倍。
중치좌표시정의재임의평면다변형상최상용적중심좌표。게시료증감평면다변형적정점시，다변형소재평면내점적중치좌표적변화정황，즉당다변형감소혹증가일개정점시，칙제거소증감적점이급타적량개상린점외，기여각점대응적규범화중치좌표변위원래적상수배。
Mean value coordinates are the most commonly barycentric coordinates defined in arbitrary planar polygon .This paper reveals how the coordinates of the interior point in a planar polygon change as the vertexes are increased or decreased , namely , when the polygon reduces or increases a vertex , except the increased or decreased and its two adjacent points , the rest values of the normalized coordinates at the corresponding points turn into a constant multiple of the original .