计算多边形核的质心的代码

def compute_polygon_centroid(polygon):
    # 首先计算多边形的面积
    area = 0
    for i in range(len(polygon)):
        x1, y1 = polygon[i]
        x2, y2 = polygon[(i + 1) % len(polygon)]
        area += (x1 * y2 - x2 * y1)
    area /= 2

    # 计算多边形的质心坐标
    centroid_x = 0
    centroid_y = 0
    for i in range(len(polygon)):
        x1, y1 = polygon[i]
        x2, y2 = polygon[(i + 1) % len(polygon)]
        factor = (x1 * y2 - x2 * y1) / (6 * area)
        centroid_x += (x1 + x2) * factor
        centroid_y += (y1 + y2) * factor

    return centroid_x, centroid_y