设多边形有顶点Vk k∈{1, 2, 3, ...n},坐标分别为(x1, y1)... (xn, yn),创建坐标系内矢量图:
则面积Sv = ½*(OV1 * OV2 + OV2*OV3 + ... + OVn*OVn+1) = ½*((x1*y2 - x2*y1) + (x2*y3 - x3*y2)+......+ (xn*yn+1 - xn+1*yn))
设多边形有顶点Vk k∈{1, 2, 3, ...n},坐标分别为(x1, y1)... (xn, yn),创建坐标系内矢量图:
则面积Sv = ½*(OV1 * OV2 + OV2*OV3 + ... + OVn*OVn+1) = ½*((x1*y2 - x2*y1) + (x2*y3 - x3*y2)+......+ (xn*yn+1 - xn+1*yn))
转载于:https://my.oschina.net/1024bits/blog/783699